Realistic Analysis of Air Conditioning Technologies Prakash Dhamshala 1

Size: px
Start display at page:

Download "Realistic Analysis of Air Conditioning Technologies Prakash Dhamshala 1"

Transcription

1 Realistic Analysis f Air Cnditining Technlgies Prakash Dhamshala 1 Abstract - This paper deals with the use f a cmputer cde, Transient Analysis f Building Lads and Energy Technlgies (TABLET) develped by the authr fr the analysis f varius air-cnditining technlgies. Cnventinal techniques such as thermstat setback r energy recvery as well as emerging technlgies such as dedicated utside air Systems (DOAS) and distributed energy systems with turbine inlet air cling can be cnsidered by use f hurly weather data fr varius cities acrss the natin. The utility f such cdes is illustrated with cst savings resulting frm use f a DOAS system. Fr the purpse f such analysis, a cmmercial building with realistic electrical, ventilatin, lighting and air cnditining lads are assumed. The cde estimates the hurly building lads, energy requirements and annual energy cst fr any f the abve mentined technlgies as selected by the user emplying the existing energy csts fr the cities evaluated. The cde is windws based develped in the Visual Basic language t facilitate easier interactin fr the user. Students wh used this cde were extremely pleased t have the greater insights and significance f the technlgies cnsidered. Keywrds: DOAS, heat pump, air-cnditiner, energy recvery device, building lads Intrductin Sftware is emplyed by the practicing engineers. Althugh the results f using these The energy cnsumptin f a cmmercial building is primarily due t peratin f heating, ventilatin and aircnditining equipment (HVAC) and that cnsumed by the secndary equipment such as lights, ther electrical equipment, cmputers, cpiers, Xerx machines, etc,. The energy csts is directly related t the energy cnsumptin f the HVAC equipment, which depends upn several factrs such as the type f equipment, prvisins fr energy recvery r imprving the efficiency f energy utilizatin, the weather cnditins existing n the utside f the building, and finally n the unit csts f energy which may vary with time during the day r frm seasn t seasn. The energy efficiency f mst f the HVAC equipment vary with lads that depends upn the type f building envelpe structure and weather cnditins utside fr a given hur. The thermal cnditins f cnditined air stream cming ut f the HVAC equipment are adjusted t meet the energy demand f the building fr the given hur. The basic mechanism f heat transfer thrugh the building envelpe is truly transient in nature that is affected by the thermal strage capacity f the building materials utilized in the cnstructin f rf, walls and windws. In rder t simplify the calculatins invlved in sizing the HVAC cmpnents, the industry [1] emplyed the cling lad temperature difference (CLTD) methd. This methd is nt helpful in evaluating the energy cnsumptin f the equipment ver a perid f seasn r year. Alternate methd such as BIN methd is used but it will nt yield accurate results. Inaccuracies in these methds arise due t lack f using the mre detailed hurly weather data as well as pr accunting f thermal strage effects, as is dne in sme f the available cmmercial sftware are very accurate, but it requires cnsiderable amunt f experience n the part f the users f such prgrams. In a three hur first curse in HVAC field, it is very difficult t cver such materials in ne semester. The authr has develped a few user friendly cmputer prgrams [-7] t illustrate the effect f thermal strage as well as the mre accurate hurly weather data fr a given city. Such prgrams are very useful in prviding the greater insights int the design prblems in additin t understanding the significance f the technlgies cnsidered as well as in btaining the mre accurate results using realistic data. 1 Prfessr f Mechanical Engineering, Cllege f Engineering and Cmputer Science, The University f Tennessee, Chattanga, 615 McCallie Ave, Chattanga, TN 37403

2 Thery The estimatin f the annual r mnthly energy requirements f a building t maintain it at cmfrtable cnditins require the knwledge f building lads fr each hur f the year. Hurly lads are estimated typically, since the weather data is available fr mst f the cities n an hurly basis. The weather data cllected fr each city reflects the histrical average fr a perid f 0 t 30 years. Transfer functin methd takes int accunt the thermal strage effect f the slar energy, ccupants, lights and equipment. Heating lad is the rate f heat transfer typically per hur frm the building t the utside, while cling lad refers t that frm utside t the inside f the building. The types f lads are further classified int sensible and latent lads. The sensible lads ccur due t difference in temperatures that cnsists f cnvective and radiatin cmpnents, while the latent lads ccur due t difference in humidity levels which are instantaneus. The estimatin f radiatin cmpnent f sensible lad is cmplicated due t thermal strage effect. Fr instance, the heating r cling lad Q can be cnsidered as the respnse f a building r rm t the effects that the temperature f the space ( ), the temperature f the envirnment utside ( T ), r adjining spaces, and the slar heat transfer rate ( sl ), etc. have n that building r rm. The temperature f the space, the temperature f the envirnment utside, r adjining spaces, the slar heat transfer rate, heat energy frm ccupants, equipment, and lighting Ti, T, Q& sl, etc are knwn as the driving terms. The Transfer Functin Methd (TFM) calculates the respnse f a system by making three assumptins (i) all functins f time are represented as sum f series f values at regular time steps ( hurly in this case). (ii) the respnse f a system is a linear functin f the driving terms and f the state f the system. (iii) the respnse at time t can depend nly n the past, nt n the future. T i Q & ( ) A linear series relatinship between the respnse term y t and the driving term u t can be represented as y = a y + a y + K + a y + b u + b u + b u + K b u t ( ) ( ) (1) 1 t 1 t t t n t n t 0 t 1 t 1 t t t + m t m t where the time step t = 1 hur and a1 t an and b0 t b m are cefficients that characterize the system that take int accunt the thermal inertia r strage effects f the materials and are called transfer functin cefficients. Equatin (1) can be generalized t take int accunt several driving terms. The slar radiatin and utside air temperatures are tw driving terms that affect the heat gain int the building. A term called sl-air temperature (T e ) is defined t take int effect bth the utside air temperature T and slar radiatin I t and is expressed as: T e = T α I + h t ε R h () α = absrptance f surface fr slar radiatin I t = ttal incident slar lad btained frm actual measured values ε R h α h = lng wave radiatin factr = -7 F fr hrizntal surfaces; 0 F fr vertical surfaces = surface clr factr = 0.06 fr light clrs and 0.05 fr dark clrs The slar incident slar lad as given by I t can be btained frm the measured slar data at a given lcatin in terms f varius terms invlving slar incident angle (θ i ), declinatin angle (δ), slar azimuth angle (ǿ s ), the slar zenith angle (θ s ), the surface azimuth angle (ǿ p ), and surface tilt angle (θ p ), surface latitude angle (λ) and finally the hur angle.

3 The reader may refer t the reference [8] t see the rientatin f these angles. The declinatin angle (δ) can be given as, ( n + 10) Sinδ = Sin 3.45 Cs (3) where, n is the day f the year with January 1 being n = 1. The hur angle (ω) can be estimated in terms f slar time (t sl ) frm, ( t sl 1 h) ω = (4) 4 h The slar zenith angle (θ s ) can be estimated frm, Cs θ s = Cs λ Cs δ Cs ω + Sin λ Sin δ (5) Nw, the slar azimuth angle (ǿ s ) in terms f slar zenith angle (θ s ) as fllws Csδ Sinω φ s = (6) Sinθ Finally, the slar incident angle (θ i ) is given by s Cs θ i = Sin θ s Sin θ p Cs (ǿ s - ǿ p ) + Cs θ s Cs θ p (7) where, ǿ s is the slar azimuth angle given by Equatin (6) while the surface azimuth angle ǿ p is the angle made by the surface nrmal with suth directin. The tilt angle f the surface θ p is the angle f inclinatin f the surface with lcal hrizntal surface. Nw the ttal incident slar lad I t is the sum f (i) (ii) (iii) I t the slar direct radiatin (I dir ) incident nrmal t the surface the slar diffuse radiatin (I dif ), the diffuse radiatin is the radiatin scattered frm the surrundings and the dust particles present in the atmsphere. the slar radiatin reflected frm the grund 1+ Csθ p 1 Csθ p = I dir Csθi + I dif + I gl, hr ρ g (8) where, I gl,hr is the glbal hrizntal radiatin incident n the hrizntal surface. The weather statins in many majr cities recrd hurly data cnsisting f I dir, I dif, I gl,hr, the ambient air temperature, the dew pint temperature, the relative humidity, wind speed and directin, clud cver factr and many ther data. The research scientists btained the average f 5 t 30 years f such data and call this data as the typical meterlgical year (TMY) fr that city. Use f such data prvides a mre accurate slar lads.

4 Cnductive Heat Gain The cnductive heat gain ( r lss), & Q cnd, t at time t thrugh the rf and walls can nw be expressed as: Q & cnd, t = d n Q& cnd, t n t + A bn Ts, t n t Ti cn (9) n 1 n 0 n 0 where A = area f the rf r wall, can be in units f m r ft. t = time step, which is 1 hur. T = sl-air temperature f utside surface at time t s, t n t b n, c n, d n are the cefficients f cnductin transfer functin and the values f these cefficients fr different types f rfs r walls cmmnly emplyed in building industry are listed in reference [1]. The cmputer cde develped by the authr has these values in its memry and prvides the apprpriate values fr the materials chsen by the user f the prgram. t = hur fr which calculatin was made t = time interval (1 hr) n = number f hurs fr which and values are significant, typically fur A = area f element under analysis The heat gain int the building des nt translate int the building lad instantaneusly. Cling Lad The ttal cling lad, Q t is given as Q = Q + Q t rf sc (10) ( v q + v q + v q + K ) ( w Q + w Q + K) t i i t, i t t, i t 1 t t t t Q = rf i= 1, (11) (, j ) Q sc = q c j= 1 where: Q rf = sensible cling lad frm heat gain elements having radiant cmpnents. v and w = rm transfer functin cefficients, listed in [1] selected per element type, circulatin rate, mass, and/r fixture type. q t = each f i heat gain elements having a radiant cmpnent; selected apprpriate fractins fr prcessing. t = time interval (1 hr) Q sc = sensible cling lad frm heat gain elements having nly cnvective cmpnents. q c = each f j heat gain factrs having nly cnvective cmpnent ( q c, n ) n= 1 (1) Latent Q = (13) q c = each f n latent heat gain elements. The abve equatins are presented here t prvide the glimpse f what is invlved in the calculatins f heat gains and cling lads. The cde iterates fr abut six times fr each hur f the ttal 8760 hurs in a year and it further iterates the Equatin (11) fr anther six times fr each hur f the ttal 8760 hurs in a

5 Lads due t Ventilatin and Infiltratin Air The building lads due t ventilatin and infiltratin are instantaneus, they dn t have the radiatin cmpnent in them and they are given as q sensible latent =. 10 ( T T ) 1 Q (14) ( W Wi i q = 4840 Q ) (15) q ttal =. 5 ( h h ) 4 Q (16) i where: Q = sum f ventilatin airflw as per ASHRAE Standard 6 and infiltratin cfm T, Ti, = utside, inside air temperatures, F W, W i, = utside, inside air humidity rati, lb (water) / lbm d.a h, h i, = utside, inside air enthalpy, Btu/lbm d.a Latent Q = ( q c, n ) n= 1 q c = each f n latent heat gain elements. The space heat lad will be the summatin f the lads frm each f the abve. The maximum values f hurly heat gain and lss represent the building peak cling and heating lads, respectively. Dedicated Outside Air System (DOAS) Standard HVAC system takes a mixture f utdr air and return air, cnditins it, and then returns it t the building space at the desired temperature and humidity levels. In rder t maintain a space at specified temperature and humidity levels, the cling system, r chiller, has t cl dwn the mixture f utside and return air t a much lwer temperature well belw the dew pint f the mixed air t remve r dehumidify the excess misture t the desired levels. T accmplish this, the cmpressr r air-cnditiner cnsumes greater pwer t maintain a lw evaprating r cil temperature. Typically, near the peak cling lads, the air temperature is reduced t a very lw value after the required dehumidificatin takes place within the cling cils. The reheating f the dehumidified air is frequently dne, s that the temperature f the supply air t the space is at a cmfrtable level. In certain applicatins and gegraphical regins, the cst f reheating can be significant. Energy csts assciated with air-cnditining the utside air can be increased further if the building ccupancy is nt unifrm in each zne f the building. A Dedicated Outdr Air System (DOAS) is a cnstant air vlume system that is designed t deliver the required amunt f air t each space r zne f the building evenly. This system cmplies 100% with ASHRAE Standard 6. DOAS unit requires abut 0 t 30% less utdr air and als can prvide 100% f the space s latent lad, when needed. With the DOAS unit, the sensible cling and heating is perfrmed separately. The sensible cnditining is decupled frm the latent cnditining f the air. The sensible cnditining f the air can be perfrmed effectively and ecnmically by circulating the chilled water thrugh panels r cils imbedded in the ceiling and walls f the building. The radiant heating r cling frm the panels r wall cils can be supplemented with the cnditined fresh air frm the DOAS unit t the space r zne and is delivered thrugh a smaller duct system frm the DOAS. The energy cst savings resulting frm use f the DOAS unit is attributed primarily t the fllwing factrs: It uses the ptimal (minimum) amunt f ventilatin air and als cmplies 100% f ASHRAE Standard 6. (17)

6 The pumping pwer f cnditined air thrugh the ducts is cnsiderably reduced due t lwer air flw rates. The latent lads are cmpletely handled by the DOAS unit s that the sensible lads can be handled by the sensible chiller units perating at higher evaprating temperatures, and thus at peak efficiency levels. Radiant panel cling and heating f the buildings t meet the sensible lads can be very cst effective due t reductins in capital csts assciated with larger ducts, larger fans, and lw pumping cst f water as cmpared t that f air. Additinal csts savings are pssible due t the use f enthalpy and heat wheels. The purpse f this investigatin is t assess the ptential energy cst savings resulting frm use f integrated DOAS unit with CRCP and energy recvery wheels at varius climatically different regins within the U.S Descriptin f DOAS System The DOAS unit cnsists f a separate heat pump unit in parallel with a sensible chiller as shwn in Figure 1. In additin t DOAS unit, the Figure 1 als shws an enthalpy wheel and a heat wheel. The enthalpy wheel allws the transfer f bth latent (misture) and sensible (heat energy) between the tw air streams flwing thrugh it, while the heat wheel allws nly the transfer f heat energy due t temperature difference between the streams. The heat wheel placed dwnstream f the DOAS unit prvides the free reheat energy t the dehumidified air leaving the DOAS system. The enthalpy wheel will be very effective during the cling seasn by cling and dehumidifying the incming utside fresh air with the utging exhausted air. In certain applicatins, especially with greater latent lads caused due t large number f ccupants, the enthalpy wheel will be cunter prductive in winter by transferring the misture t the incming fresh air and thus increasing the latent lads. The dashed lines indicates the typical winter peratin, while the slid lines shw the air streams during the cling seasn. The dtted lines indicate the ht r chilled water flw t the CRCP f the building space. A Typical Operatin in Cling Seasn The exhaust air frm the building space at state 6 enters the heat wheel and heats up the dehumidified air leaving the DOAS system at state 4. The exhaust air leaving the heat wheel at state 7 splits int tw streams. The stream at state 9 has the same mass flw rate as that f the incming fresh air at state 1 and enters the enthalpy wheel t partially dehumidify and cl the utside air, while the flw rate at state 8 is mixed with the fresh air leaving the enthalpy wheel t prvide a larger required flw rate t the DOAS system. This is required in the event f having a larger latent lad. The minimum flw rate required by the heat pump f the DOAS system is frequently larger than the minimum required t meet the ASHRAE Standard-6. The added mass flw rate f the DOAS unit abve that required fr prper ventilatin nly increases the sensible capacity f the DOAS system thus reducing further the lads n the sensible chiller. A Typical Operatin in Heating Seasn If latent lads are zer r negligible: The utside fresh air picks up the heat energy frm the exhaust air frm the building space in the heat wheel, after mixing with the added re-circulated return air it enters the DOAS system fr additinal sensible heating. If latent lads are negative (Humidificatin Required): The utside fresh air can pass thrugh the enthalpy wheel and after mixing with the added re-circulated return air it enters the DOAS unit fr additinal sensible heating, if required. If latent lads are psitive in:

7 The fresh utside air will bypass enthalpy wheel and passes thrugh the DOAS system fr dehumidificatin, this situatin adds t the sensible heating unit, but can recver a certain amunt by passing thrugh the heat wheel. q sl q tl W c,das DOAS System 14 enthalpy wheel dehumidified air 5 building space utside air 11 heat wheel heating seasn cling seasn chilled water W c,sc chilled water supply chilled water return frm radiant panels ht water Q fuel sensible chiller ht water heater ht water supply Figure 1 Schematic f a Typical DOAS System Estimating the energy cst savings resulting frm use f DOAS unit bils dwn t determining the perating cst thrugh the pwer supplied t the DOAS unit (W c,das ) and the sensible chiller (W c,sc ) unit alng with the pumping csts f the chilled water and the air-duct systems as shwn in the Figure 1. T determine the W c,das and the W c,sc the fllwing equatins are gathered first based n fundamental laws f the energy balance and heat exchanger analysis. The energy balance n the enthalpy wheel gives, m c p (t 1 t ) = ε s m c p (t 1 t 9 ) r, t = t 1 - ε s ( t 1 t 9 ) (18) m h fg (ω 1 ω ) = ε l m h fg (ω 1 ω 9) r ω = ω 1 - ε l ( ω 1 ω 9 ) (19) where ε s = the sensible effectiveness f the enthalpy wheel. ε l = the latent effectiveness f the enthalpy wheel. m = mass flw rate f the utside air assumed t be minimum f the tw streams. c p = the specific heat at cnstant pressure f the air streams assumed t be

8 cnstant fr bth streams. t = the temperature at the state indicated by the subscript. ω = the humidity rati at state indicated by the subscript. h fg = enthalpy f vaprizatin assumed t be cnstant fr bth streams. The temperature and humidity rati f the mixture f the tw mist air streams at state 8 and state is given by, mad cp t7 + m cp t t3 = (0) ( m + m ) c ad p m h ω + m h ω ad fg 7 fg ω 3 = (1) ( m + mad ) hfg where m ad = the mass flw rate f the added re-circulated air thrugh the DOAS system. It may be nted that the temperature at states 7, 8 and 9 are the same as that at state 7. The perfrmance f the DOAS unit r any air-t-air heat pump r air-cnditiner depends primarily n the air flw rate thrugh the evapratr, the utside air temperature and the wet-bulb temperature f the air entering the evapratr cil. Fr a given air flw rate thrugh the heat pump, the sensible (q s ) and ttal cling capacities (q t ) are primarily dependent upn the ut side air temperatures (t ) and the wet-bulb temperature (t w3 ) f the air entering the evapratr cil as shwn belw. q s = f 1 ( t w3, t ) q t = f ( t w3, t ) and the latent capacity, q l = q t - q s where, f 1 and f are empirical relatins that can be develped by curve fitting the data frm the manufacturer s catalg fr the heat pump emplyed in the DOAS unit as shwn in the Figure 1. The fllwing equatins are develped fr a mre efficient heat pump recently intrduced int the market: t t 8.16E 06t twi twi3 q t = 1000 () t twi twi t E 05t ln( twi3) (ln( twi3)) q s = 1000 (3) E 05 t ln( twi3) t twi twi3 W c, c = (4) t twi twi3 where t wi3 = the wet-bulb temperature f the air entering the DOAS unit, and W c,c = pwer supplied t the cmpressr, while in cling mde. The abve three equatins give the cmputatinal relatins fr the ttal and sensible cling capacities and the Equatin (4) is fr the required cmpressr pwer while the heat pump is wrking in a cling mde. The heating capacity and the cmpressr pwer t the heat pump in the heating mde is dependent upn the dry-bulb temperature f the utside air and that f the return air t the cndenser fr a given air flw rate, as shwn by the fllwing tw equatins. q heat { t t t t E 05 t } 4.1E 07 t 5 = (5) 1000 r 3 0

9 tr t t E 05t tr t E 05 t E 06 t W (6) c, h = 3 where t r = the dry-bulb temperature f the return air t the cndenser, and W c,h = pwer supplied t the cmpressr, while in heating mde. The energy balance acrss the DOAS system gives, qs t4 = t3 (7) m c d d p fg 3 ql ω 4 = ω3 (8) m h where m d = mass flw rate f the mist air flwing thrugh the DOAS system. Since the Equatins (4), (5) and (6) invlve the wet-bulb temperature f the mist air at the state 3, the fllwing Equatin [9] can be emplyed t determine iteratively the wet-bulb temperature at state 3, prvided the dry-bulb temperature and humidity rati at state 3 are knwn. ( tw3 ) ωs3 0.4 ( t3 tw3 ) ϖ 3 = (9) t3 tw3 The energy balance n the heat wheel gives, m d c p ( t 5 t 4 ) = m d c p ( t 6 t 7 ) r t 4 = t 5 - ( t 6 t 7 ) (30) t 7 = t 6 + ε s (t 6 t 4 ) (31) where ε s = the effectiveness f the sensible heat wheel. The abve equatins frm Equatin 18 t 31 invlve 14 unknwns namely t, t 3, t w3, t 4, t 5, t 7, t 9, ω, ω 3, ω s3, ω 4, q s, W c,das, W c,sh. All f the abve 14 unknwns are time dependent and can be slved by the fllwing methdlgy. Cmputatinal Methdlgy It is assumed that the system is perating with minimum duct lsses r gains and the mass flw rates are such that balance flw cnditins exist in the enthalpy and heat wheels during their peratin. The sensible and latent effectiveness are assumed t be cnstant at 0.7 and 0.65, respectively, under all cnditins. The energy csts, electric cnsumptin and demand csts are assumed t be cnstant ver the year. The DOAS unit is emplyed in a medium sized cmmercial building f flr area 4000 ft (371.6 m ) with 66 peple wrking during the day with W/ft (1.53 W/m ) f lighting lad and a ttal f 5 kw f equipment and the nrmal lads assciated with ht water cnsumptin and an infiltratin rate f 0.1 ACH. The lads during the nn-ffice hurs, weekends and hlidays are set at minimum values with a realistic thermstat setbacks. Using the hurly weather data f the city, the hurly (q s, q t, q l, W c,das, W c,sc and Q fuel ) and peak building and equipment lads are estimated by use f TABLET cmputer cde develped based n transfer functin methd. The energy csts assciated with the HVAC system cnsists f the cst f pwer supplied t the DOAS unit (W c,das ), the cst f pwer supplied t the sensible chiller unit (W c,sc ), the fuel cst assciated with heating unit (Q fuel ) and the cst assciated with pumping the fluids as shwn in Figure 1. The energy csts are evaluated fllwing the prcedure described fr a typical cling perid as fllws: 1. The latent lad f the building is btained t check, if latent cling is required, that the latent rate f heat extractin is the same as latent lad f the building and is equated t the latent capacity f the DOAS unit. The latent heat capacity f the unit is btained frm Equatins (3) and (4), which are functins f the utside air temperature, t, and the wet-bulb temperature, t w3, f the entering air. Using the Newtn-Raphsn technique, the wet-bulb temperature, t w3, is btained

10 iteratively. Once the wet-bulb temperature is cmputed, ne can determine the sensible capacity, q s, and cmpressr pwer W c,c f the DOAS unit frm Equatins (3) and (4).. Since the heat wheel des nt transfer any misture between the streams, and humidity ratis at states 6, 7, 8 and 9 are the same as that f the building space als knwing the latent effectiveness f the enthalpy wheel, ne can determine the humidity rati (ω ) frm the Equatin (19) and, ω 3, frm the Equatin (1). 3. Knwing the humidity rati ω 3 and the wet-bulb temperature, t w3, at state, 3, ne can find the actual dry-bulb temperature, t 3, f the mist air entering the DOAS unit by using the Equatin (9). 4. The exit temperature, t 4, f the mist air frm the DOAS unit can be btained frm Equatin (7) as the sensible capacity f the DOAS unit is estimated frm the Equatin (3) frm the knwledge f t w3 and t. 5. Knwing the sensible effectiveness, ε s, f the heat wheel, and the temperature t 4 and t 6 ne can determine the exit temperature, t 7, f the exhaust air frm Equatin (31). 6. Recgnize that temperatures at state 7, 8 and 9 are the same, i.e t 7 = t 8 = t Finally, the supply air temperature, t 5, can be estimated frm Equatin (13). 8. One can determine the crrected sensible lad f the building by adjusting the sensible cling prvided by the DOAS unit. 9. The pwer required by the sensible chiller is btained frm the crrected sensible lad and characteristics f the sensible chiller. Fr simplicity, it is assumed that a centrifugal chiller perating at a higher evaprating temperature can have an average, COP, f 7, and hence the pwer supplied t the sensible chiller, W c,sc, is btained by dividing the crrected sensible lad with the average COP. 10. In heating seasn, the heating lad is met by circulating the ht water prduced in the ht water biler as shwn by the dtted lines and the heating capacity, q heat, and the cmpressr pwer supplied t the heat pump f the DOAS unit is btained frm the utside air temperature, t, and the return air temperature, t r, f the space frm Equatins (5) and (6), respectively. The fuel supplied t the ht water heater is btained by dividing the heating lad f the hur with the biler efficiency. The fuel cst wuld be the prduct f the fuel supply and fuel cst fr the hur. Results The results btained frm detailed cmputer simulatins fr several gegraphical lcatins are listed in the Table 1. These cst savings are btained frm detailed cmputer simulatins using the same cst structure fr the fuel and electric demand the energy cst and cnsumptin charges in rder t assess the influence f different climatic cnditins f the varius regins. It may be nted that savings are related nly t perating cst and takes n accunt f ptential capital cst savings r additinal charges. Fr instance, fr the city f Hustn, the peak cling lad is reduced by mre than 4 tns f capacity, which may amunt t a reductin f nearly $ 4000 in the capital cst f the chillers. There exist a reductin f the capital cst f duct cnstructin and fan sizes due t reduced air flw rates. It has been reprted that the ceiling space f an integrated DOAS unit can reduce by nearly 50 percent due t smaller size ducts. The energy cst savings resulting frm use f varius technlgies and fr varius cities are shwn in Figure -7. Cnclusins and Recmmendatins The results f shwn in Table 1 shw that the integrated DOAS unit with CRCP and the energy and heat recvery wheels has a significant ptential f reducing the capital as well as perating csts as cmpared t cnventinal systems. The size f the building chsen fr this investigatin is relatively small as cmpared t the average size f a cmmercial building in the U.S. Based n the magnitude f the energy cst savings as a result f the applicatin f the DOAS units, applicatin f DOAS unit has a ptential t be a significant cst-effective technlgy in the near future f HVAC industry. The Figures -7 shw the significance f each technlgy in prviding energy cst savings. Students indicated in a survey that the prgram is very simple and user friendly and prvided a mre realistic analysis tl t evaluate each technlgy, and allws t get greater insights int each f the technlgy

11 cnsidered and the factrs that influence the energy cst savings. It is recmmended that the materials presented in this paper shuld be prvided t the students alng with such cmputer cdes in rder t understand the quantitative impact f each energy savings technlgies and als t appreciate the imprtance f using mre detailed methds such as thse illustrated in this paper. The materials presented in this paper helps students t get familiar with the detailed apprach f estimating the building lads and als t the varius current energy efficient r recvery technlgies.

12 Table 1 Perfrmance Characteristics f DOAS Unit at Varius Lcatins City Eqpm Number Lad f kw Occupants Peak H. Lads Tns (kw) Tt heating/ latent Atlanta / 3.5 (44.3) / (1.3) Atlanta / 3.5 (DOAS) (44.3) / (1.3) Peak C. Lads tns a (kw) Tt cling / latent / 4.3 (65.6) / (15.1) 15.4 / 1.8 (54.) / (6.3) Max Elec. Demand (kw) E b. Demand Cst $/yr Energy Cst Cnv $/yr DOAS Cst $/yr % diff c 710 1, , Chattanga 5 Chattanga (DOAS) 5 Chicag 5 Chicag (DOAS) 5 Hustn 5 Hustn (DOAS) / 3.6 (46.7) / (1.7) / 3.6 (46.7) / (1.7) / 3.8 (56.5) / (13.4) / 3.8 (56.5) / (13.4) / 3.5 (43.1) / (1.3) / 3.5 (43.1) / (1.3) 19 / 4.8 (66.8) / (16.9) 15.3 / 1.8 (53.8) / (6.3) 18.3 / 4.3 (64.3) / (15.1) 15.1 / 1.9 (53.1) / (6.9) 0.1 / 6 (70.7) / ((1.1) 15.8 /.3 (55.6) / (8.1) , , , , , ,6 33 L. A / / , (7.4) / (10.) (54.4) / (9.1) L. A (DOAS) / / , (7.4) / (10.) (49.6) / (5.3) New Yrk / / , (49.) / (13.4) (6.) / (10.6) New Yrk (DOAS) / 3.8 (49.) / (13.4) / 1.6 (53) / (5.6) , a- rf: 3 in,w/4 l.cnc deck sus ceiling, walls: 4 l.w.cnc blck, w/1 in face brick, b- first 50 kw demand free, but penalizes by $ 9.89 /kw and energy cst f $ 0.06/kWh c- based n perating cst nly

13 Cmparisn f Energy Cst Savings Due t Use f Mre Insulative Materials fr Varius Cities Cmparisn f Energy Cst Savings Due t Use f the Thermstat Night Set-Back System fr Varius Cities Ttal Energy Csts ($/yr) Mre Cnductive Mre Insulative Ttal Energy Csts ($/yr) Cnventinal Night Set-Back 0 Atlanta Chicag Hustn L.A New Yrk Phenix 0 Atlanta Chicag Hustn L.A New Yrk Phenix Building with 50 peple, Eqpm Lad:5 kw; Lighting: W/ sq.ft Building with 50 peple, Eqpm Lad:5 kw; Lighting: W/ sq.ft Figure. Energy Cst Savings due t Mre Insulative Materials Figure 3. Energy Cst Savings due t Night Set-Back Cmparisn f Energy Cst Savings Due t Use f Energy Recvery System fr Varius Cities Cmparisn f Energy Cst Savings Due t Use f DOAS System fr Varius Cities Ttal Energy Csts ($/yr) Atlanta Chicag Hustn L.A New Yrk Phenix Cnventinal Energy Recvery System Ttal Energy Csts ($/yr) Atlanta Chicag Hustn L.A New Yrk Phenix Cnventinal DOAS Building with 50 peple, Eqpm Lad:5 kw; Lighting: W/sq.ft Building with 50 peple, Eqpm Lad:5 kw; Lighting: W/sq.ft Figure 4. Energy Cst Savings due t Energy Recvery Systems Figure 5. Energy Cst Savings due t Use f DOAS Systems Cmparisn f Varius Energy Savings Technlgies fr Hustn,TX Annual Energy Csts ($/yr) Cnv Insul NSB Ecn E.Rec DOAS Building with 50 peple, Eqpm Lad: 5 kw; Lighting: W/sq.ft Figure 6. Energy Cst Savings due t Varius Technlgies

14 a n, b n, and c n are cefficients f cnductin transfer functin c p = the specific heat f mist air (J/kg. 0 C). f 1 = a mathematical functin that relates the sensible capacity t entering wet-bulb temperature and utside air temperature. f = a mathematical functin that relates the ttal capacity t entering wet-bulb temperature and utside air temperature. h = cnvective heat transfer cefficient fr utside air, W/m.K h fg = enthalpy f vaprizatin (J/kg). I dif = diffuse slar radiatin, W/m I dir = direct slar radiatin, W/m I t = ttal slar radiatin, W/m I gl,hr = glbal slar radiatin n a hrizntal plane, W/m m ad = mass flw rate f additinal re-circulated mist air thrugh DOAS system (kg/s). m d = mass flw rate f mist air thrugh the DOAS system (kg/s). m = mass flw rate f the mist air frm the utside (kg/s). q heat = heat capacity utput f the heat pump (kw). q l = latent cling capacity f the heat pump (kw). q s = sensible cling capacity f the heat pump (kw). q t = ttal cling capacity f the heat pump (kw). Q = vlumetric flw rate f air, L/s r cfm Q rf = sensible cling lad frm radiant prtin (W) Nmenclature Q sc = sensible cling lad frm cnvective prtin (W) T i, t i = mist air temperature at state, i ( 0 C ). T, t = utside air temperature ( 0 C ). T e = sl-air temperature ( 0 C ). t n = dry bulb temperature at state, n ( 0 C) t w3 = wet-bulb temperature f mist air at state, 3 ( 0 C ). W c,c = pwer supplied t the cmpressr f heat pump in cling mde (kw). W c,h = pwer supplied t the cmpressr f heat pump in heating mde (kw). W c,sc = pwer supplied t the cmpressr f the sensible chiller (kw). Greek Letters α = absrptance f slar energy δ = declinatin angle λ = latitude angle ε = emittance f utside surface ω = hur angle θ i = slar incident angle θ p = surface tilt angle θ s = slar zenith angle ρ g = reflectance f grund surface Φ s = slar azimuth angle ε s = sensible effectiveness f heat r energy wheel. ε l = latent effectiveness f energy wheel. ε s = sensible effectiveness f secndary heat wheel. ε t = ttal effectiveness f energy wheel. ω i = humidity rati f a mist air at state, i ω si = humidity rati f a saturated mist air at state, i

15 References 1. ASHRAE Handbk f Fundamentals American Sciety f Heating, Refrigeratin and Air-cnditining Engineers, Atlanta, GA 001. Energy Cst Savings due t Use f Energy Recvery System with Dedicated Outside Air Systems (DOAS), Seminar presented ASHRAE Annual Meeting in Kansas City, MO June Energy Cst Savings with Use f DOAS Systems in Varius Cities in U.S paper t be presented at ASME Wrld Cngress, Washingtn D.C, Nv A Multi-Purpse Thermal Design Prject that Wrks by Prakash R. Damshala and Rbert Bailey, published in The Internatinal Jurnal f Mechanical Engineering Educatin, vl 30, N, April, Thermecnmic Analysis f Cgeneratin System fr HVAC Applicatins in Cmmercial and Industrial Buildings by Prakash R. Damshala and James Nathan Pugh M.S thesis cmpleted in August A Cmputer Design Prject fr an Energy Recvery System by Prakash R. Damshala, a paper presented at ASEE sutheastern cnference held at Charlestn, SC in April Numerical Analysis f Slar Strage (Trmbe) Wall fr Identifying Optimal Energy Recvery Cnditins by Prakash R. Damshala and Rbert Bailey, a paper presented at ASEE sutheastern cnference, April 000 at Blacksburg, Virginia. 8. ASHRAE Handbk f Fundamentals, chapter 30. American Sciety f Heating, Refrigeratin and Air-cnditining Engineers, Atlanta, GA Heating and Cling f Buildings by J.F. Kreider., and A. Rabl, McGraw-Hill publicatin, 1994, New Yr, N.Y Prakash R. Dhamshala The authr is a prfessr f mechanical engineering at the University f Tennessee, Chattanga.He btained his M.S frm University f Miami, Fl and Ph.D frm Gergia Tech, GA. He has been teaching thermal science curses in thermdynamics, heat transfer, thermal systems and air-cnditining and refrigeratin curse at this schl fr ver 0 years. He is a member f ASHRAE, ASME and frmer member f ASEE. He is active in reviewing and publishing papers fr ASEE, ASHRAE and ASME. Appendix These instructin illustrate the prcedure t evaluate the energy cst savings ptential f varius advanced energy technlgies. Yu interact with a single screen cntaining several windws and buttns and is divided int six znes A, B, C, D, E and F. The data such as utside air dry bulb temperature, relative humidity, ambient pressure, direct, diffuse and ttal slar radiatin n hrizntal and nrmal planes are inputted frm the files cntaining in the cde nce user select a city. The user will prvide data n building envelp and lad prfiles during the wrking, and ff-days and hlidays, and time f use energy csts. The fllwing prcedure may be emplyed t btain the simulatin results. 1. Select the city in windw A. Select the rf # 8 in area B 3. Select the wall #8 in area B fr East, Suth, West and Nrth walls

16 4. Select # 1 fr flr, NE, SE,SW and NW walls 5. Selectin the ptin "Off" fr Ecnmizer, Energy Recvery and DOAS systems in area C 6. Select the ptin "Off" fr CHP system and press the buttn # 1t calculate the building peak lads 7. When yu see the peak lad values in windws in area D, then press the buttn # t estimate the HVAC equipment lads 8. When yu see the message "Dne" in the windw X, press the buttn # 3 t calculate the energy csts 9. Once yu see the results in windw E, yu have a chice f printing the results by pressing the buttn # 4 r see the bar chart f mnthly energy csts by pressing the buttn # 5 (Yu may print the chart if needed, prvided the cmputer is cnnected t a printer) r see the temperature and building lad prfile n peak cling day by pressing the buttn # 6 r see the pie chart f varius building energy csts by pressing the buttn # If yu want t rerun the prgram with CHP unit, then select the ptin "n" fr the CHP system, enter the ttal annual energy cst frm windw E f the cnventinal system withut CHP int the windw "Y" then press the clear buttn # 8 and finally press buttn # Repeat steps 7 thrugh 9 1. Yu can repeat the abve prcedure fr varius cities by selecting the city in windw A r fr varius energy csts scenaris as shwn in windw area F

EFFECTS OF WALL ORIENTATION AND THERMAL INSULATION ON TIME LAG AND DECREMENT FACTOR

EFFECTS OF WALL ORIENTATION AND THERMAL INSULATION ON TIME LAG AND DECREMENT FACTOR HEFAT212 9 th Internatinal Cnference n Heat Transfer, Fluid Mechanics and Thermdynamics 16 18 July 212 Malta EFFECTS OF WA ORIENTATION AND THERMA INSUATION ON TIME AG AND DECREMENT FACTOR Ozel M.* and

More information

NAME TEMPERATURE AND HUMIDITY. I. Introduction

NAME TEMPERATURE AND HUMIDITY. I. Introduction NAME TEMPERATURE AND HUMIDITY I. Intrductin Temperature is the single mst imprtant factr in determining atmspheric cnditins because it greatly influences: 1. The amunt f water vapr in the air 2. The pssibility

More information

Thermal Applications Category User Guide

Thermal Applications Category User Guide Thermal Applicatins Categry User Guide Versin 6.3 Integrated Envirnmental Slutins Cntents 1. What is the Thermal Applicatins Categry?... 4 1.1. Cmpliance View... 4 1.2. Apache Applicatin

More information

Module 4: General Formulation of Electric Circuit Theory

Module 4: General Formulation of Electric Circuit Theory Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated

More information

Chapter 1 Notes Using Geography Skills

Chapter 1 Notes Using Geography Skills Chapter 1 Ntes Using Gegraphy Skills Sectin 1: Thinking Like a Gegrapher Gegraphy is used t interpret the past, understand the present, and plan fr the future. Gegraphy is the study f the Earth. It is

More information

NEBB-ASHRAE Technical E-Learning Courses

NEBB-ASHRAE Technical E-Learning Courses NEBB-ASHRAE Technical E-Learning Curses If yu re a NEBB certificatin Candidate lking t enhance yur knwledge within a specific area, OR if yu already are a NEBB Certified Prfessinal r Certified Technician

More information

Synchronous Motor V-Curves

Synchronous Motor V-Curves Synchrnus Mtr V-Curves 1 Synchrnus Mtr V-Curves Intrductin Synchrnus mtrs are used in applicatins such as textile mills where cnstant speed peratin is critical. Mst small synchrnus mtrs cntain squirrel

More information

ChE 471: LECTURE 4 Fall 2003

ChE 471: LECTURE 4 Fall 2003 ChE 47: LECTURE 4 Fall 003 IDEL RECTORS One f the key gals f chemical reactin engineering is t quantify the relatinship between prductin rate, reactr size, reactin kinetics and selected perating cnditins.

More information

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium Lecture 17: 11.07.05 Free Energy f Multi-phase Slutins at Equilibrium Tday: LAST TIME...2 FREE ENERGY DIAGRAMS OF MULTI-PHASE SOLUTIONS 1...3 The cmmn tangent cnstructin and the lever rule...3 Practical

More information

Thermodynamics and Equilibrium

Thermodynamics and Equilibrium Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,

More information

EXPERIMENTAL STUDY ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE

EXPERIMENTAL STUDY ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE EXPERIMENTAL STUD ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE Tmnbu Gt, Masaaki Ohba, Takashi Kurabuchi 2, Tmyuki End 3, shihik Akamine 4, and Tshihir Nnaka 2

More information

Operational Use of the Model Crocus

Operational Use of the Model Crocus Operatinal Use f the Mdel Crcus by French Avalanche Frecast Services E.Brun Meterlgie Natinale Centre d'etudes de la Neige BP 44 Dmaine Universitaire 3842 St-Martin d 'eres France ntrductin Since 1971

More information

PDHengineer.com Course M-6010

PDHengineer.com Course M-6010 PDHengineer.cm Curse M-6010 HVAC Cling Lad Calculatin and Principles T receive credit fr this curse This dcument is the curse text. Yu may review this material at yur leisure either befre r after yu purchase

More information

TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS

TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS AN 10-18 Applicatin Nte 10-18 PAYNE ENGINEERING TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS q = (h c + h r ) A (T s - T amb ) TEMPERATURE CONSIDERATIONS FOR SCR CONTROLS Thyristr cntrls - mre cmmnly called

More information

Design and Analysis of Gas Turbine Blade by Potential Flow Approach

Design and Analysis of Gas Turbine Blade by Potential Flow Approach V. Vijaya kumar et al Int. Jurnal f Engineering Research and Applicatins RESEARCH ARTICLE OPEN ACCESS Design and Analysis f Gas Turbine Blade by Ptential Flw Apprach V. Vijaya Kumar 1, R. Lalitha Narayana

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2 CEE 371 Octber 8, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance summary C = ε A / d = πε L / ln( b / a ) ab C = 4πε 4πε a b a b >> a Chapter 16 Electric Energy and Capacitance Capacitance Q=CV Parallel plates, caxial cables, Earth Series and parallel 1 1 1 = + +..

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 March 10, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 March 10, Please grade the following questions: 1 or 2 CEE 371 March 10, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

LECTURE 4 THE CONTENTS OF THIS LECTURE ARE AS FOLLOWS: 1.0 INTRODUCTION 2.0 SOURCES OF HEAT IN MINES 3.0 STRATA HEAT

LECTURE 4 THE CONTENTS OF THIS LECTURE ARE AS FOLLOWS: 1.0 INTRODUCTION 2.0 SOURCES OF HEAT IN MINES 3.0 STRATA HEAT LECTURE 4 THE CONTENTS OF THIS LECTURE ARE AS FOLLOWS: 1.0 INTRODUCTION 2.0 SOURCES OF HEAT IN MINES 3.0 STRATA HEAT 3.1 Gethermal Step and Gethermal Gradient 3.2 Thermal Cnductivity f Rcks 3.3 Heat Flux

More information

Chapter 4. Unsteady State Conduction

Chapter 4. Unsteady State Conduction Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause

More information

SPH3U1 Lesson 06 Kinematics

SPH3U1 Lesson 06 Kinematics PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.

More information

Biocomputers. [edit]scientific Background

Biocomputers. [edit]scientific Background Bicmputers Frm Wikipedia, the free encyclpedia Bicmputers use systems f bilgically derived mlecules, such as DNA and prteins, t perfrm cmputatinal calculatins invlving string, retrieving, and prcessing

More information

Numerical Simulation of the Thermal Resposne Test Within the Comsol Multiphysics Environment

Numerical Simulation of the Thermal Resposne Test Within the Comsol Multiphysics Environment Presented at the COMSOL Cnference 2008 Hannver University f Parma Department f Industrial Engineering Numerical Simulatin f the Thermal Respsne Test Within the Cmsl Multiphysics Envirnment Authr : C. Crradi,

More information

Fill in your name and ID No. in the space above. There should be 11 pages (including this page and the last page which is a formula page).

Fill in your name and ID No. in the space above. There should be 11 pages (including this page and the last page which is a formula page). ENGR -503 Name: Final Exam, Sem. 03C ID N.: /6/003 3:30 5:30 p.m. Rm N.: 7B Fill in yur name and ID N. in the space abve. There shuld be pages (including this page and the last page which is a frmula page).

More information

Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high

Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high Prblem Knwn: Dimensins and materials f the cmpsitin wall, 0 studs each with.5m high Unknwn:. Thermal resistance assciate with wall when surfaces nrmal t the directin f heat flw are isthermal. Thermal resistance

More information

Fabrication Thermal Test. Methodology for a Safe Cask Thermal Performance

Fabrication Thermal Test. Methodology for a Safe Cask Thermal Performance ENSA (Grup SEPI) Fabricatin Thermal Test. Methdlgy fr a Safe Cask Thermal Perfrmance IAEA Internatinal Cnference n the Management f Spent Fuel frm Nuclear Pwer Reactrs An Integrated Apprach t the Back-End

More information

Design and Simulation of Dc-Dc Voltage Converters Using Matlab/Simulink

Design and Simulation of Dc-Dc Voltage Converters Using Matlab/Simulink American Jurnal f Engineering Research (AJER) 016 American Jurnal f Engineering Research (AJER) e-issn: 30-0847 p-issn : 30-0936 Vlume-5, Issue-, pp-9-36 www.ajer.rg Research Paper Open Access Design and

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

Process Engineering Thermodynamics E (4 sp) Exam

Process Engineering Thermodynamics E (4 sp) Exam Prcess Engineering Thermdynamics 42434 E (4 sp) Exam 9-3-29 ll supprt material is allwed except fr telecmmunicatin devices. 4 questins give max. 3 pints = 7½ + 7½ + 7½ + 7½ pints Belw 6 questins are given,

More information

EFFECT OF A RADIANT PANEL COOLING SYSTEM ON INDOOR AIR QUALITY OF A CONDITIONED SPACE

EFFECT OF A RADIANT PANEL COOLING SYSTEM ON INDOOR AIR QUALITY OF A CONDITIONED SPACE EFFECT OF A RADIANT PANEL COOLING SYSTEM ON INDOOR AIR QUALITY OF A CONDITIONED SPACE Dr. E T. Mhamed* and Prf. K. N. Abdalla** *Mechanical Engineering Dept, Faculty f Engineering and Technical Studies,

More information

Examiner: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data

Examiner: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data Benha University Cllege f Engineering at Banha Department f Mechanical Eng. First Year Mechanical Subject : Fluid Mechanics M111 Date:4/5/016 Questins Fr Final Crrective Examinatin Examiner: Dr. Mhamed

More information

ENSC Discrete Time Systems. Project Outline. Semester

ENSC Discrete Time Systems. Project Outline. Semester ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

More information

Department of Electrical Engineering, University of Waterloo. Introduction

Department of Electrical Engineering, University of Waterloo. Introduction Sectin 4: Sequential Circuits Majr Tpics Types f sequential circuits Flip-flps Analysis f clcked sequential circuits Mre and Mealy machines Design f clcked sequential circuits State transitin design methd

More information

Determining the Accuracy of Modal Parameter Estimation Methods

Determining the Accuracy of Modal Parameter Estimation Methods Determining the Accuracy f Mdal Parameter Estimatin Methds by Michael Lee Ph.D., P.E. & Mar Richardsn Ph.D. Structural Measurement Systems Milpitas, CA Abstract The mst cmmn type f mdal testing system

More information

The standards are taught in the following sequence.

The standards are taught in the following sequence. B L U E V A L L E Y D I S T R I C T C U R R I C U L U M MATHEMATICS Third Grade In grade 3, instructinal time shuld fcus n fur critical areas: (1) develping understanding f multiplicatin and divisin and

More information

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string? Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)

More information

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance Verificatin f Quality Parameters f a Slar Panel and Mdificatin in Frmulae f its Series Resistance Sanika Gawhane Pune-411037-India Onkar Hule Pune-411037- India Chinmy Kulkarni Pune-411037-India Ojas Pandav

More information

Applying Kirchoff s law on the primary circuit. V = - e1 V+ e1 = 0 V.D. e.m.f. From the secondary circuit e2 = v2. K e. Equivalent circuit :

Applying Kirchoff s law on the primary circuit. V = - e1 V+ e1 = 0 V.D. e.m.f. From the secondary circuit e2 = v2. K e. Equivalent circuit : TRANSFORMERS Definitin : Transfrmers can be defined as a static electric machine which cnverts electric energy frm ne ptential t anther at the same frequency. It can als be defined as cnsists f tw electric

More information

Least Squares Optimal Filtering with Multirate Observations

Least Squares Optimal Filtering with Multirate Observations Prc. 36th Asilmar Cnf. n Signals, Systems, and Cmputers, Pacific Grve, CA, Nvember 2002 Least Squares Optimal Filtering with Multirate Observatins Charles W. herrien and Anthny H. Hawes Department f Electrical

More information

Aircraft Performance - Drag

Aircraft Performance - Drag Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce

More information

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

Evaluation of the outdoor thermal environment in redevelopment buildings in front of Osaka Station based on observations

Evaluation of the outdoor thermal environment in redevelopment buildings in front of Osaka Station based on observations Academic Article Jurnal f Heat Island Institute Internatinal Vl. 9-2 (2014) Evaluatin f the utdr thermal envirnment in redevelpment buildings in frnt f Osaka Statin based n bservatins Kentar Ayama *1 Sae

More information

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng

More information

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION NUROP Chinese Pinyin T Chinese Character Cnversin NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION CHIA LI SHI 1 AND LUA KIM TENG 2 Schl f Cmputing, Natinal University f Singapre 3 Science

More information

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology Technical Bulletin Generatin Intercnnectin Prcedures Revisins t Cluster 4, Phase 1 Study Methdlgy Release Date: Octber 20, 2011 (Finalizatin f the Draft Technical Bulletin released n September 19, 2011)

More information

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS J.e. Sprtt PLP 924 September 1984 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.

More information

Assume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected.

Assume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected. 1 HW #3: Cnservatin f Linear Mmentum, Cnservatin f Energy, Cnservatin f Angular Mmentum and Turbmachines, Bernulli s Equatin, Dimensinal Analysis, and Pipe Flws Prblem 1. Cnservatins f Mass and Linear

More information

A Study on Pullout Strength of Cast-in-place Anchor bolt in Concrete under High Temperature

A Study on Pullout Strength of Cast-in-place Anchor bolt in Concrete under High Temperature Transactins f the 7 th Internatinal Cnference n Structural Mechanics in Reactr Technlgy (SMiRT 7) Prague, Czech Republic, August 7 22, 23 Paper #H-2 A Study n Pullut Strength f Cast-in-place Anchr blt

More information

Assessment Primer: Writing Instructional Objectives

Assessment Primer: Writing Instructional Objectives Assessment Primer: Writing Instructinal Objectives (Based n Preparing Instructinal Objectives by Mager 1962 and Preparing Instructinal Objectives: A critical tl in the develpment f effective instructin

More information

Numerical Simulation of the Flow Field in a Friction-Type Turbine (Tesla Turbine)

Numerical Simulation of the Flow Field in a Friction-Type Turbine (Tesla Turbine) Numerical Simulatin f the Flw Field in a Frictin-Type Turbine (Tesla Turbine) Institute f Thermal Pwerplants Vienna niversity f Technlgy Getreidemarkt 9/313, A-6 Wien Andrés Felipe Rey Ladin Schl f Engineering,

More information

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC. PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce

More information

Physics 2010 Motion with Constant Acceleration Experiment 1

Physics 2010 Motion with Constant Acceleration Experiment 1 . Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin

More information

Subject description processes

Subject description processes Subject representatin 6.1.2. Subject descriptin prcesses Overview Fur majr prcesses r areas f practice fr representing subjects are classificatin, subject catalging, indexing, and abstracting. The prcesses

More information

Floating Point Method for Solving Transportation. Problems with Additional Constraints

Floating Point Method for Solving Transportation. Problems with Additional Constraints Internatinal Mathematical Frum, Vl. 6, 20, n. 40, 983-992 Flating Pint Methd fr Slving Transprtatin Prblems with Additinal Cnstraints P. Pandian and D. Anuradha Department f Mathematics, Schl f Advanced

More information

Short notes for Heat transfer

Short notes for Heat transfer Furier s Law f Heat Cnductin Shrt ntes fr Heat transfer Q = Heat transfer in given directin. A = Crss-sectinal area perpendicular t heat flw directin. dt = Temperature difference between tw ends f a blck

More information

Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates

Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates Heat Management Methdlgy fr Successful UV Prcessing n Heat Sensitive Substrates Juliet Midlik Prime UV Systems Abstract: Nw in 2005, UV systems pssess heat management cntrls that fine tune the exthermic

More information

NEW Pecan Scab Model Description

NEW Pecan Scab Model Description Edited: June 28, 2005 NEW Pecan Scab Mdel Descriptin Mdel active frm March 1 t August 31 The Oklahma Mesnet, in cperatin with scientists and prfessinals frm Oklahma State University and the University

More information

THE FLUXOID QUANTUM AND ELECTROGRAVITATIONAL DYNAMICS. Chapter 8. This work extends chapter 6 titled, "Field Mass Generation and Control", while

THE FLUXOID QUANTUM AND ELECTROGRAVITATIONAL DYNAMICS. Chapter 8. This work extends chapter 6 titled, Field Mass Generation and Control, while 133 THE FLUXOID QUANTUM AND ELECTROGRAVITATIONAL DYNAMICS Chapter 8 This wrk extends chapter 6 titled, "Field Mass Generatin and Cntrl", while als develping a new cnceptual apprach t mass-field vehicle

More information

THERMAL TEST LEVELS & DURATIONS

THERMAL TEST LEVELS & DURATIONS PREFERRED RELIABILITY PAGE 1 OF 7 PRACTICES PRACTICE NO. PT-TE-144 Practice: 1 Perfrm thermal dwell test n prtflight hardware ver the temperature range f +75 C/-2 C (applied at the thermal cntrl/munting

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

5 th grade Common Core Standards

5 th grade Common Core Standards 5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin

More information

Relationships Between Frequency, Capacitance, Inductance and Reactance.

Relationships Between Frequency, Capacitance, Inductance and Reactance. P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead

More information

Lecture 13: Electrochemical Equilibria

Lecture 13: Electrochemical Equilibria 3.012 Fundamentals f Materials Science Fall 2005 Lecture 13: 10.21.05 Electrchemical Equilibria Tday: LAST TIME...2 An example calculatin...3 THE ELECTROCHEMICAL POTENTIAL...4 Electrstatic energy cntributins

More information

CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review

CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review Review Accrding t the nd law f Thermdynamics, a prcess is spntaneus if S universe = S system + S surrundings > 0 Even thugh S system

More information

Phy 212: General Physics II 1 Chapter 18 Worksheet 3/20/2008

Phy 212: General Physics II 1 Chapter 18 Worksheet 3/20/2008 Phy 1: General Physics II 1 hapter 18 rksheet 3/0/008 Thermal Expansin: 1. A wedding ring cmpsed f pure gld (inner diameter = 1.5 x 10 - m) is placed n a persn s finger (diameter = 1.5 x 10 - m). Bth the

More information

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,

More information

High penetration of renewable resources and the impact on power system stability. Dharshana Muthumuni

High penetration of renewable resources and the impact on power system stability. Dharshana Muthumuni High penetratin f renewable resurces and the impact n pwer system stability Dharshana Muthumuni Outline Intrductin Discussin f case studies Suth Australia system event f September 2016 System Study integratin

More information

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax .7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical

More information

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018 Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and

More information

Supporting information

Supporting information Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 ydrgen perxide electrchemistry n platinum: twards understanding the xygen reductin reactin

More information

ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER

ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER ES201 - Examinatin 2 Winter 2003-2004 Adams and Richards NAME BOX NUMBER Please Circle One : Richards (Perid 4) ES201-01 Adams (Perid 4) ES201-02 Adams (Perid 6) ES201-03 Prblem 1 ( 12 ) Prblem 2 ( 24

More information

Calculating the optimum pressure and temperature for vacancy minimization from theory; Niobium is an example. Jozsef Garai

Calculating the optimum pressure and temperature for vacancy minimization from theory; Niobium is an example. Jozsef Garai Calculating the ptimum pressure and temperature fr vacancy minimizatin frm thery; Nibium is an example Jzsef Garai Department f Mechanical and Materials Engineering, Flrida Internatinal University, Miami,

More information

OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION

OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION U. S. FOREST SERVICE RESEARCH PAPER FPL 50 DECEMBER U. S. DEPARTMENT OF AGRICULTURE FOREST SERVICE FOREST PRODUCTS LABORATORY OF SIMPLY SUPPORTED PLYWOOD PLATES UNDER COMBINED EDGEWISE BENDING AND COMPRESSION

More information

Thermodynamics Partial Outline of Topics

Thermodynamics Partial Outline of Topics Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)

More information

UNIT 6 DETERMINATION OF FLASH AND FIRE POINT OF A LUBRICATING OIL BY OPEN CUP AND CLOSED CUP METHODS

UNIT 6 DETERMINATION OF FLASH AND FIRE POINT OF A LUBRICATING OIL BY OPEN CUP AND CLOSED CUP METHODS UNIT 6 DETERMINATION OF FLASH AND FIRE POINT OF A LUBRICATING OIL BY OPEN CUP AND CLOSED CUP METHODS Determinatin f Flash and Fire Pint f a Cup and Clsed Cup Structure 6. Intrductin Objectives 6. Experiment

More information

Computational modeling techniques

Computational modeling techniques Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins

More information

A Novel Isolated Buck-Boost Converter

A Novel Isolated Buck-Boost Converter vel slated uck-st Cnverter S-Sek Kim *,WOO-J JG,JOOG-HO SOG, Ok-K Kang, and Hee-Jn Kim ept. f Electrical Eng., Seul atinal University f Technlgy, Krea Schl f Electrical and Cmputer Eng., Hanyang University,

More information

5.4 Measurement Sampling Rates for Daily Maximum and Minimum Temperatures

5.4 Measurement Sampling Rates for Daily Maximum and Minimum Temperatures 5.4 Measurement Sampling Rates fr Daily Maximum and Minimum Temperatures 1 1 2 X. Lin, K. G. Hubbard, and C. B. Baker University f Nebraska, Lincln, Nebraska 2 Natinal Climatic Data Center 1 1. INTRODUCTION

More information

Level Control in Horizontal Tank by Fuzzy-PID Cascade Controller

Level Control in Horizontal Tank by Fuzzy-PID Cascade Controller Wrld Academy f Science, Engineering and Technlgy 5 007 Level Cntrl in Hrizntal Tank by Fuzzy-PID Cascade Cntrller Satean Tunyasrirut, and Santi Wangnipparnt Abstract The paper describes the Fuzzy PID cascade

More information

A Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture

A Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture Few asic Facts but Isthermal Mass Transfer in a inary Miture David Keffer Department f Chemical Engineering University f Tennessee first begun: pril 22, 2004 last updated: January 13, 2006 dkeffer@utk.edu

More information

Math Foundations 20 Work Plan

Math Foundations 20 Work Plan Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant

More information

Department of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets

Department of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets Department f Ecnmics, University f alifrnia, Davis Ecn 200 Micr Thery Prfessr Giacm Bnann Insurance Markets nsider an individual wh has an initial wealth f. ith sme prbability p he faces a lss f x (0

More information

MATHEMATICS Higher Grade - Paper I

MATHEMATICS Higher Grade - Paper I Higher Mathematics - Practice Eaminatin B Please nte the frmat f this practice eaminatin is different frm the current frmat. The paper timings are different and calculatrs can be used thrughut. MATHEMATICS

More information

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions.

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions. BASD High Schl Frmal Lab Reprt GENERAL INFORMATION 12 pt Times New Rman fnt Duble-spaced, if required by yur teacher 1 inch margins n all sides (tp, bttm, left, and right) Always write in third persn (avid

More information

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Sandy D. Balkin Dennis K. J. Lin y Pennsylvania State University, University Park, PA 16802 Sandy Balkin is a graduate student

More information

Section I5: Feedback in Operational Amplifiers

Section I5: Feedback in Operational Amplifiers Sectin I5: eedback in Operatinal mplifiers s discussed earlier, practical p-amps hae a high gain under dc (zer frequency) cnditins and the gain decreases as frequency increases. This frequency dependence

More information

Part One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review)

Part One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review) CHAPTER 18: THERMODYNAMICS AND EQUILIBRIUM Part One: Heat Changes and Thermchemistry This aspect f Thermdynamics was dealt with in Chapter 6. (Review) A. Statement f First Law. (Sectin 18.1) 1. U ttal

More information

Cambridge Assessment International Education Cambridge Ordinary Level. Published

Cambridge Assessment International Education Cambridge Ordinary Level. Published Cambridge Assessment Internatinal Educatin Cambridge Ordinary Level ADDITIONAL MATHEMATICS 4037/1 Paper 1 Octber/Nvember 017 MARK SCHEME Maximum Mark: 80 Published This mark scheme is published as an aid

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

NGSS High School Physics Domain Model

NGSS High School Physics Domain Model NGSS High Schl Physics Dmain Mdel Mtin and Stability: Frces and Interactins HS-PS2-1: Students will be able t analyze data t supprt the claim that Newtn s secnd law f mtin describes the mathematical relatinship

More information

DEFENSE OCCUPATIONAL AND ENVIRONMENTAL HEALTH READINESS SYSTEM (DOEHRS) ENVIRONMENTAL HEALTH SAMPLING ELECTRONIC DATA DELIVERABLE (EDD) GUIDE

DEFENSE OCCUPATIONAL AND ENVIRONMENTAL HEALTH READINESS SYSTEM (DOEHRS) ENVIRONMENTAL HEALTH SAMPLING ELECTRONIC DATA DELIVERABLE (EDD) GUIDE DEFENSE OCCUPATIOL AND ENVIRONMENTAL HEALTH READINESS SYSTEM (DOEHRS) ENVIRONMENTAL HEALTH SAMPLING ELECTRONIC DATA DELIVERABLE (EDD) GUIDE 20 JUNE 2017 V1.0 i TABLE OF CONTENTS 1 INTRODUCTION... 1 2 CONCEPT

More information

Thermodynamics EAS 204 Spring 2004 Class Month Day Chapter Topic Reading Due 1 January 12 M Introduction 2 14 W Chapter 1 Concepts Chapter 1 19 M MLK

Thermodynamics EAS 204 Spring 2004 Class Month Day Chapter Topic Reading Due 1 January 12 M Introduction 2 14 W Chapter 1 Concepts Chapter 1 19 M MLK Thermdynamics EAS 204 Spring 2004 Class Mnth Day Chapter Tpic Reading Due 1 January 12 M Intrductin 2 14 W Chapter 1 Cncepts Chapter 1 19 M MLK Hliday n class 3 21 W Chapter 2 Prperties Chapter 2 PS1 4

More information

Chapter 39. A GUIDE TO THE DESIGN OP AIR BUBBLERS FOR MELTING ICE Simon Ince Hydraulics Section, National Research Council Ottawa, Canada

Chapter 39. A GUIDE TO THE DESIGN OP AIR BUBBLERS FOR MELTING ICE Simon Ince Hydraulics Section, National Research Council Ottawa, Canada Chapter 39 A GUIDE T THE DESIGN P AIR BUBBLERS FR MELTING ICE Simn Ince Hydraulics Sectin, Natinal Research Cuncil ttawa, Canada INTRDUCTIN The use f air bubblers fr maintaining ice-free areas in lakes

More information

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects Pressure And Entrpy Variatins Acrss The Weak Shck Wave Due T Viscsity Effects OSTAFA A. A. AHOUD Department f athematics Faculty f Science Benha University 13518 Benha EGYPT Abstract:-The nnlinear differential

More information

Investigation of the Dependence of Global Solar Radiation on Some Atmospheric Parameters Over Kano and Oyo-Nigeria

Investigation of the Dependence of Global Solar Radiation on Some Atmospheric Parameters Over Kano and Oyo-Nigeria Radiatin cience and Technlgy 2017; 3(1): 1-7 http://www.sciencepublishinggrup.cm/j/rst di: 10.11648/j.rst.20170301.11 Invigatin f the Dependence f Glbal lar Radiatin n me Atmspheric Parameters Over Kan

More information