FORCED CONVECTION GREENHOUSE PAPAD DRYING: AN EXPERIMENTAL STUDY
|
|
- Maude Rodgers
- 6 years ago
- Views:
Transcription
1 Journal of Enginring Scinc and Tchnology Vol. 8, No. 2 (2013) School of Enginring, Taylor s Unirsity FORCED CONVECTION GREENHOUSE PAPAD DRYING: AN EXPERIMENTAL STUDY MAHESH KUMAR Mchanical Enginring Dpartmnt, Guru Jambhshwar Unirsity of Scinc & Tchnology, Hisar , Haryana, India mkshandilya1@gmail.com Abstract In this rsarch papr, th bhaior of hat and mass transfr phnomnon during grnhous papad drying undr forcd conction mod has bn instigatd. Various xprimnts wr prformd during th month of April 2010 at Guru Jambhshwar Unirsity of Scinc and Tchnology Hisar (29 o 5 5 N 75 o E). Exprimntal data obtaind for forcd conction grnhous drying of papad wr usd to dtrmin th constants in th Nusslt numbr xprssion by using th simpl linar rgrssion analysis and, consquntly, th alus of concti and aporati hat transfr cofficints wr aluatd. Th arag alus of xprimntal constants C and n wr dtrmind as and rspctily. Th arag alus of concti and aporati hat transfr cofficints wr dtrmind as W/m 2 o C and W/m 2 o C rspctily. Th xprimntal rror in trms of prcntag uncrtainty was also aluatd. Kywords: Papad, Papad drying, Hat transfr cofficint, Concti, Eaporati, Forcd conction grnhous. 1. Introduction Papad is th most popular adjuncts in th dit and it is consumd in most Indian homs. India is th largst papad producing country and about 95 prcntag of th total production of papad is prpard at houshold ll or in cottag scal. It is prpard from dough consisting of diffrnt pulss flour along with additis. It is prpard by rolling th dough balls of low moistur contnts (27% to 30%) by using rolling pin in th form of circular disc (130 mm to 210 mm diamtr) of thicknss gnrally arying from 0.4 mm to 0.7 mm [1-3]. Papad drying is a simultanous hat and mass transfr procss in which hat is transfrrd by 177
2 178 M. Kumar Nomnclaturs A t Ara of tray, m 2 C Exprimntal constant C Spcific hat of humid air, J/kg o C g Acclration du to graity, m/s 2 h c Concti hat transfr cofficint, W/m 2 o C h c,a Arag concti hat transfr cofficint, W/m 2 o C h Eaporati hat transfr cofficint, W/m 2 o C h,a Arag aporati hat transfr cofficint, W/m 2 o C K Thrmal conductiity of humid air, W/m o C m Mass aporatd, kg N Numbr of obsrations in ach st N o Numbr of sts Nu Nusslt numbr = h c X/K n Exprimntal constant P(T) Partial apor prssur at tmpratur T, N/m 2 Pr Prandtl numbr = µ C /K Q & Rat of hat utilizd to aporat moistur, J/m 2 s R Rynolds numbr = ρ V X/µ T Tmpratur just abo th papad surfac, o C T g Grnhous tmpratur, o C T p Tmpratur of papad surfac, o C t Tim, s V Air locity insid grnhous, m/s X Charactristic dimnsion, m Grk Symbols β Cofficint of olumtric xpansion (K -1 ) γ Rlati humidity (%) λ Latnt hat of aporization, J/kg µ Dynamic iscosity of humid air, N s/m 2 ρ Dnsity of humid air, kg/m 3 σ Standard diation conction and radiation to papad-air intrfac and by conduction to th intrior of papad. Watr is transfrrd by diffusion from insid th papad to papad-air intrfac and from th intrfac to th air stram by conction. Thus, papad drying inols rmoal of moistur in ordr to prsr it. Opn sun drying is th most primiti (traditional) mthod of papad drying. Howr, this traditional mthod of drying suffrs from high product losss du to inadquat drying, fungal growth, ncroachmnts of inscts, rodnts, birds, and othr contamination rsulting in poor product quality. In spit of many disadantags, opn sun drying is still practicd in placs throughout th world. Although th hot air industrial drirs ar aailabl to gt th good quality of th product but thy consum larg amount of nrgy. Th scarcity of fossil fuls with thir rising cost of production and nironmntal pollution mphasiz th nd on th utilization of solar nrgy as an altrnati sourc for low tmpratur drying applications, spcially in th rgions, whr this sourc is
3 Forcd Conction Grnhous Papad Drying: An Exprimntal Study 179 abundantly aailabl. Solar nrgy is prfrrd to othr nrgy sourcs bcaus it is abundant, non-pollutant, inxhaustibl, nironmntally bnign, fr of cost, and rnwabl which can b ffctily usd for drying purposs, if harstd proprly [4-6]. An adancd and altrnati tchniqu to th traditional mthod is grnhous drying, in which th product is placd in trays and rcis solar radiation through th plastic cor, whil moistur is rmod by natural conction or forcd air flow. Th uss of appropriat grnhous dryrs impro th quality of th product, prnt th contamination by inscts, microorganisms and bactria, and lad to rduction of drying tim intral [7-9]. Th concti hat transfr cofficint is an important paramtr in drying rat simulation, sinc th tmpratur diffrnc btwn th air and th product aris with this cofficint [10]. Th concti hat transfr cofficint is not a proprty of th fluid. It is an xprimntally dtrmind paramtr whos alu dpnds on th physical proprtis of th humid air surrounding th papad (product) and th tmpratur diffrnc btwn th papad surfac and th air. Th concti hat transfr cofficints for arious shaps and sizs of jaggry pics [11, 12] wr aluatd undr natural and forcd conction grnhous drying. Ths wr obsrd to ary from W/m 2 o C and W/m 2 o C undr natural and forcd conction grnhous drying mod rspctily for ight hundrd gram sampls. Th ffct of th grnhous on th concti hat and mass transfr undr natural and forcd mods of drying for cabbag and pas drying wr studid [13]. Th concti mass transfr cofficint undr forcd conction mod was rportd doubl as compard to natural conction grnhous drying. Kumar and Tiwari [14] rportd that th alu of concti mass transfr cofficint dpnds significantly on th mass of th onion flaks to b drid undr opn sun and grnhous drying. Thy found that th alus of concti hat transfr cofficint undr forcd conction mod ar constant. Th concti hat transfr cofficints for khoa pics [15] wr aluatd in a controlld nironmnt undr natural and forcd conction grnhous drying mods which wr rportd to ary from W/m 2 o C and W/m 2 o C rspctily. Rcntly, Kumar t al. [3] aluatd th concti hat transfr cofficints of papad drying undr opn sun and indoor forcd conction conditions. Th alus of concti hat transfr cofficints undr opn sun and forcd conction drying mods wr rportd to b 3.54 W/m 2 o C and 1.56 W/m 2 o C rspctily. Th usag of grnhous for papad drying is a nw approach in th papad prsration. This may pa a nw path in th fild of food industry. To th bst knowldg of th author, so far, no such work has bn rportd in th litratur on grnhous papad drying. Thrfor, th prsnt study has bn undrtakn to aluat th concti and aporati hat transfr cofficints of papad for grnhous drying undr forcd conction mod. This study would b hlpful in dsigning a dryr for drying papad to its optimum storag moistur ll of about 15%.
4 180 M. Kumar 2. Matrials and Mthods 2.1. Exprimntal st-up and instrumntation A roof typ n span grnhous of m 2 ffcti floor ara was fabricatd of PVC pip and a UV film coring of 200 microns. Th cntral hight and th walls wr maintaind as 0.6 m and 0.4 m rspctily. A fan of 225 mm swp diamtr and 1340 rpm with a ratd air locity of 5 m/s was proidd on th sidwall of th grnhous for th forcd conction xprimnts. A photograph of th xprimntal stup for grnhous drying in th forcd mod is shown in Fig. 1 and its schmatic iw is shown in Fig. 2. Fig. 1. Exprimntal St-up of Grnhous Papad Drying undr Forcd Conction Mod. Fig. 2. Schmatic Viw of Grnhous Papad drying undr Forcd Conction Mod.
5 Forcd Conction Grnhous Papad Drying: An Exprimntal Study 181 A circular shapd wir msh tray of diamtr m was usd to accommodat th papad for singl layr drying. It was kpt dirctly or th digital wighing balanc of 6 kg capacity (modl TJ-6000, Scaltch, mad in India) haing a last count of 0.1 g. Th papad surfac tmpratur (T p ) and air tmpratur at diffrnt locations wr masurd by calibratd coppr-constantan thrmocoupls connctd to a tn channl digital tmpratur indicator with a last count of 0.1 o C (accuracy ±0.1%). Th rlati humidity, γ and th tmpratur just abo th papad surfac, T, wr masurd by a digital humidity/tmpratur mtr (modl Lutron-HT 3006, mad in Taiwan). It had a last count of 0.1% rlati humidity (an accuracy of ±3% on th full scal rang of 10 to 95% of RH) and 0.1 o C tmpratur (an accuracy of ± 0.8 o C on th full scal rang of 50 o C). Th air locity across th grnhous sction was masurd with an lctronic digital anmomtr (modl AM-4201, mad in Taiwan). It had a last count of 0.1 m/s with an accuracy of ±2% on th full scal rang of 0.2 to 30.0 m/s. Calibration of thrmocoupls Coppr-constantan thrmocoupls connctd to tn channl digital tmpratur indicator wr usd to rcord th papad surfac tmpratur and air tmpratur at diffrnt locations. Th thrmocoupls tnd to diat from th actual data aftr a long priod, so it is ncssary to calibrat with rspct to a standard thrmomtr, th ZEAL thrmomtr, which gis accurat radings Sampl prparation and xprimntal obsrations Papad was frshly prpard by taking th flour of moong ban (Indian trad nam - moong) and phasolus mungo (Indian trad nam - urad dal) mixd with 27.5% watr contnt pr kg of papad wight. Th flour was purchasd locally, and that fraction of flour which passd through an ighty fi msh (180 microns) British Standard si was usd for making papad. Th dough was knadd and rolld in circular shap of 0.7 mm thicknss and 180 mm diamtr with th hlp of pastryboard and pastry-rollr. Th frshly prpard papad of 23.5 g was usd for ach run of th forcd conction grnhous papad drying. Exprimnts wr prformd during th month of April 2010 at Guru Jambhshwar Unirsity of Scinc and Tchnology Hisar (29 o 5 5 N 75 o E). Th orintation of th grnhous during th xprimntation was kpt astwst bcaus sunlight aailability is mor in comparison to north-south. Exprimntal stup was locatd on th opn floor of a thr-floor building to ha a good xposur to th solar radiation. Each obsration was takn for papad drying aftr half an hour tim intral. Th papad sampl was kpt in th wir msh tray or th digital wighing balanc. Th moistur aporatd was calculatd by taking th diffrnc of mass of papad btwn two conscuti radings. Th papad sampl was drid till no ariation in its mass was obsrd. In ordr to obtain accurat rsults, th abo mntiond xprimntation procdur was rpatd four tims for ach frshly prpard similar papad sampl of sam siz (i.., 180 mm diamtr and 0.7 mm thicknss) on conscuti days at th sam timing. Th initial mass of papad sampl for ach run of drying was kpt constant (i.., 23.5 g).
6 182 M. Kumar 2.3. Thrmal modling Th concti hat transfr cofficint undr forcd conction can b dfind as [3, 15, 16]: K X ( RPr) n c = C (1) h Th rat of hat utilizd to aporat moistur is gin as [17] c [ P( T ) γ P( T )] Q & = h (2) p On substituting h c from Eq. (1), Eq. (2) bcoms n ( R ) [ P( T ) γ P( T )] K Q & = C Pr p X (3) Th moistur aporatd is dtrmind by diiding Eq. (3) by th latnt hat of aporization (λ) and multiplying th ara of th papad drying tray (A t ) and tim intral (t). m Q& K = At t = C Pr λ Xλ Lt m Z K Xλ [ P( T ) γ P( T )] A t Z p t = C( ) n n ( R ) [ P( T ) γ P( T )] A t p = RPr (5) Taking th logarithm of both sids of Eq. (5), ln m = lnc + nln( RPr) (6) Z This is th form of a linar quation, Y = mx 0 + C 0 (7) whr m Y = ln, Z m = n, X 0 = ln( RPr), and C0 = lnc Thus, Co C = Valus of m and C o in Eq. (7) ar obtaind by using th simpl linar rgrssion mthod by using th following formula t (4)
7 Forcd Conction Grnhous Papad Drying: An Exprimntal Study 183 N X 0Y X 0 Y m = (8) 2 2 N X and 0 2 ( X ) 0 X 0 Y X 0 X 0Y C 0 = (9) 2 2 N X 0 ( X ) 0 Thn th constant C and xponnt n can b obtaind from th abo quations. Th alus of ths constant wr considrd furthr to dtrmin th concti hat transfr cofficint. Aftr knowing th concti hat transfr cofficint ( h c ), th aporati hat transfr cofficint ( h ) can also b calculatd from Eq. (10) as follows [16]: ( ) γ P( T ) P Tp h = hc (10) Tp T 2.4. Physical proprtis of humid air Th following xprssions wr usd for dtrmining th alus of th physical proprtis of humid air, such as spcific hat ( C ), thrmal conductiity ( K ), dnsity ( ρ ), iscosity ( µ ), and partial apor prssur, ( T ) 4 2 Ti 8 3 P [3, 10, 15]: C = T i Ti (11) 4 K = T i (12) ρ = (13) ( T ) i 5 8 = T i µ (14) 5144 P ( T ) = xp (15) whr T = ( T + T ) 2 i p ( T ) i 2.5. Exprimntal rror Th xprimntal mthod usd for dtrmining th concti hat transfr cofficint is an indirct approach basd on th mass of moistur aporatd from th papad. This indirct approach has a considrabl dgr of xprimntal uncrtainty in th stimatd concti hat transfr cofficint. Th xprimntal rror was aluatd in trms of prcntag uncrtainty (intrnal + xtrnal) for th moistur aporatd. Th following two quations wr usd for intrnal uncrtainty [16-19]:
8 184 M. Kumar U I σ 2 + Kσ N σ = (16) N o X X and σ = (17) N 2 Thrfor, th prcntag intrnal uncrtainty was dtrmind using th following xprssion: % intrnal uncrtainty = (U I /man of th total obsrations) 100 (18) For xtrnal uncrtainty, th last counts of all th instrumnts usd in masuring th obsration data wr considrd Computation tchniqu Th arag of papad surfac tmpratur (T p ) and tmpratur abo th papad surfac (T ) insid grnhous wr calculatd at half an hour tim intral for corrsponding moistur aporatd. Th air locity across th grnhous sction during th forcd conction drying mod was masurd with an anmomtr. Th physical proprtis of humid air wr aluatd for th man tmpratur (T i ) of T p and T by using Eqs. (11) to (15). Ths physical proprtis of humid air and locity of air wr usd for dtrmining th alus of th Rynolds numbr (R) and Prandtl numbr (Pr). Th alus of C and n in Eq. (1) wr dtrmind by simpl linar rgrssion analysis, and thn th alus of concti hat transfr cofficint (h c ) wr calculatd at th incrmnt of ry half an hour of obsration. Th aporati hat transfr cofficints wr aluatd by using Eq. (10). 3. Rsults and Discussion Th xprimntal data obtaind for papad drying undr forcd conction grnhous mod ar gin in Tabls 1(a) to (d). Th data gin in Tabls 1(a) to (d) wr usd to dtrmin th alus of constant C and xponnt n in th Nusslt numbr xprssion by simpl linar rgrssion analysis. Thn th alus of th constant C and xponnt n wr usd furthr for dtrmining th alus of th concti hat transfr cofficint by Eq. (1). Th alus of concti hat transfr cofficints wr usd to dtrmin th aporati hat transfr cofficints by Eq. (10). Th alus of constants (C and n), concti hat transfr cofficints (h c ), and aporati hat transfr cofficints (h ) for papad drying undr forcd conction grnhous mod ar summarizd in Tabl 2. Th rangs of Rynolds and Prandtl numbrs ha also bn gin. Th product of Rynolds and Prandtl numbr indicats that th ntir drying for forcd conction grnhous mod falls 5 within a laminar flow, bcaus R Pr 10 [20]. It is obsrd from Tabl 2 that th alus of constant C and xponnt n ary from to and to rspctily. Th concti and aporati hat transfr cofficints wr obsrd to ary from W/m 2 o C to W/m 2 o C and W/m 2 o C to W/m 2 o C rspctily. It is
9 Forcd Conction Grnhous Papad Drying: An Exprimntal Study 185 obsrd that diffrnt alus of concti and aporati hat transfr cofficints wr obtaind for similar papad sampl drid on conscuti days. This ariation may b du to chang in oprating conditions on ach day. Th ariation in alus of th concti and aporati hat transfr cofficint is obsrd to b 6.08% and 23.97% rspctily for all th papad sampls. Tabl 1. Obsrations for Forcd Grnhous Drying of (a) First Papad Sampl (April 7, 2010). Tim T p ( o C) T ( o C) 3 m 10 (kg) γ (%) 9.30 am am am am am (b) Scond Papad Sampl (April 8, 2010). Tim T p ( o C) T ( o C) 3 m 10 (kg) γ (%) 9.30 am am am am am (c) Third Papad Sampl (April 9, 2010). Tim T p ( o C) T ( o C) 3 m 10 (kg) γ (%) 9.30 am am am am am (d) Fourth Papad Sampl (April 10, 2010). Tim T p ( o C) T ( o C) 3 m 10 (kg) γ (%) 9.30 am am am am am Tabl 2. Valus of Exprimntally Ealuatd Paramtrs and th Concti Hat Transfr Cofficints. C n R h c Pr (W/m 2 o C) h (W/m 2 o C) First Papad Sampl (April 7, 2010) Scond Papad Sampl (April 8, 2010) Third Papad Sampl (April 9, 2010) Fourth Papad Sampl (April 10, 2010)
10 186 M. Kumar Th ariation in concti and aporati hat transfr cofficints with drying tim is illustratd in Figs. 3 and 4 rspctily. Th ariation in concti hat transfr cofficints with rspct to drying tim for all th indiidual sampls is found to li in btwn 1.09% to 1.22% whras for th aporati hat transfr cofficint it is obsrd to li in btwn 9.16% to 13.55%. It is infrrd that th aporati hat transfr cofficints changs significantly with th chang in concti hat transfr cofficints. Fig. 3. Variation of th Concti Hat Transfr Cofficints with Rspct to Drying Tim. Fig. 4. Variation of th Eaporati Hat Transfr Cofficints with Rspct to Drying Tim. Th arag alus of constants (C and n) and th concti and aporati hat transfr cofficints wr also calculatd which ar rportd in Tabl 3. Tabl 3. Arag Valus of Constants (C and n) and th Concti and Eaporati Hat Transfr Cofficints. C n h c, a (W/m 2 o C) h, a (W/m 2 o C)
11 Forcd Conction Grnhous Papad Drying: An Exprimntal Study 187 Th prcntag uncrtainty (intrnal + xtrnal) was found to b within th rang of 23.23% to 44.88% for th forcd grnhous papad drying and th diffrnt alus of concti and aporati hat transfr cofficints wr found to b within this rang. Th xprimntal prcntag uncrtaintis for papad drying undr forcd grnhous mod ar prsntd in Tabl 4. Th magnitud of ths uncrtaintis is comparabl with th uncrtaintis found in th masurmnts of hat transfr cofficints of othr products (10, 13). Th rror bars for th concti and aporati hat transfr cofficints ar illustratd in Figs. 5 and 6 rspctily. Papad Sampl Numbr Tabl 4. Exprimntal Prcntag Uncrtaintis. Intrnal uncrtainty (%) Extrnal uncrtainty (%) Total uncrtainty (%) First Scond Third Fourth Fig. 5. Th Error Bars for Concti Hat Transfr Cofficints. Fig. 6. Th Error Bars for Eaporati Hat Transfr Cofficints.
12 188 M. Kumar 4. Conclusions Th concti and aporati hat transfr cofficints for papad undr forcd conction grnhous drying mod wr aluatd by using th alus of th constants (C and n) in th Nusslt numbr xprssion obtaind for papad basd on xprimntal data by using simpl linar rgrssion analysis. Th alus of th constant C and xponnt n wr found to b and rspctily. Th alus of concti and aporati hat transfr cofficints wr obsrd to ary from W/m 2 o C to W/m 2 o C and W/m 2 o C to W/m 2 o C rspctily. Th arag alus of concti and aporati hat transfr cofficints for papad drying undr forcd conction grnhous mod wr found to b W/m 2 o C and W/m 2 o C rspctily. Ths alus would b usful in dsigning a dryr for drying papad to its optimum storag moistur ll. Th xprimntal rrors wr found to b in th rang of 23.23% to 44.88%. Rfrncs 1. Math, R.G.; Vlu, V.; Nagndr, A.; and Rao, D.G. (2004). Effct of frying conditions on moistur, fat, and dnsity of Papad. Journal of Food Enginring, 64(2), Vlu, V.; Balaswamy, K.; Nagndr, A.; and Rao, D.G. (2004). Effct of arious ingrdints and additis on Papad. Foodsric Rsarch Intrnational, 15(2), Kumar, M.; Khatak, P.; Sahd, R.K.; and Prakash, O. (2011). Th ffct of opn sun and indoor forcd conction on hat transfr cofficints for th drying of papad. Journal of Enrgy in Southrn Africa, 22(2), Akpinar, E.K. (2010). Drying of mint las in a solar dryr and undr opn sun: modling, prformanc analysis. Enrgy Conrsion and Managmnt, 51(12), Kadam, D.M.; Nangar, D.D.; Singh, R.; and Kumar, S. (2011). Low-cost grnhous tchnology for drying onion (Allium Cpa L.) slics. Journal of Food Procss Enginring, 34(1), Tripathy, P.P.; and Kumar, S. (2011). Diffrnt approachs for mass transfr studis on potato cylindrs and slics during solar drying. Intrnational Journal of Food Enginring, 7(1), Articl Espr, A.; and Muhlbaur, W. (1998). Solar drying-an ffcti mans of food prsration. Rnwabl Enrgy, 15(1-4), Condori, M.; Echazu, R.; and Saraia, L. (2001). Solar drying of swt pppr and garlic using th tunnl grnhous drir. Rnwabl Enrgy, 22(4), Tiwari, G.N. (2003). Grnhous tchnology for controlld nironmnt. Nw Dlhi, Narosa Publishing Hous. 10. Anwar, S.I.; and Tiwari, G.N. (2001). Ealuation of concti hat transfr cofficint in crop drying undr opn sun drying conditions. Enrgy Conrsion Managmnt, 42(5),
13 Forcd Conction Grnhous Papad Drying: An Exprimntal Study Tiwari, G.N.; Kumar, S.; and Prakash, O. (2004). Ealuation of concti mass transfr cofficint during drying of jaggry. Journal of Food Enginring, 63(2), Kumar, A.; and Tiwari, G.N. (2006). Effct of shap and siz on concti mass transfr cofficint during grnhous drying (GHD) of jaggry. Journal of Food Enginring, 73(2), Jain, D.; and Tiwari, G.N. (2004). Effct of grnhous on crop drying undr natural and forcd conction I: Ealuation of concti mass transfr cofficint. Enrgy conrsion and managmnt, 45(5), Kumar, A.; and Tiwari, G.N. (2007). Effct of mass on concti mass transfr cofficint during opn sun and grnhous drying of onion flaks. Journal of food nginring, 79(4), Kumar, M.; Kasana, K.S.; Kumar, S.; and Prakash, O. (2011). Exprimntal instigation on concti hat transfr cofficint for khoa drying. Intrnational Journal of Currnt Rsarch, 3(8), Kumar, M.; Prakash, O.; and Kasana, K.S. (2011). Exprimntal instigation on natural concti hating of milk. Journal of Food Procss Enginring, 35(5), Malik, M.A.S.; Tiwari, G.N.; Kumar, A.; and Sodha, M.S. (1982). Solar distillation. Prgamon Prss, Oxford. 18. Nakra, B.C.; and Choudhary, K.K. (1991). Instrumntation, masurmnt and analysis. Tata McGraw- Hill Publishing Co, Nw Dlhi. 19. Anwar, S.I. (2010). Ful and nrgy saing in opn pan furnac usd in jaggry making through modifid juic boiling/concntrating pans. Enrgy conrsion and managmnt, 51(2), Holman, J.P. (2004). Hat transfr. Tata McGraw Hill, Nw Dlhi.
Mahesh Kumar. Department of Mechanical Engineering, Guru Jambheshwar University of Science & Technology, Hisar, India
IBIMA Publishing Intrnational Journal of Rnwabl Enrgy & Biofuls http://www.ibimapublishing.com/journals/ijreb/ijrb.html Vol. 014 (014), Articl ID 961114, 11 pags DOI: 10.5171/014.961114 Rsarch Articl Effct
More informationDealing with quantitative data and problem solving life is a story problem! Attacking Quantitative Problems
Daling with quantitati data and problm soling lif is a story problm! A larg portion of scinc inols quantitati data that has both alu and units. Units can sa your butt! Nd handl on mtric prfixs Dimnsional
More informationARIMA Methods of Detecting Outliers in Time Series Periodic Processes
Articl Intrnational Journal of Modrn Mathmatical Scincs 014 11(1): 40-48 Intrnational Journal of Modrn Mathmatical Scincs Journal hompag:www.modrnscintificprss.com/journals/ijmms.aspx ISSN:166-86X Florida
More informationCollisions between electrons and ions
DRAFT 1 Collisions btwn lctrons and ions Flix I. Parra Rudolf Pirls Cntr for Thortical Physics, Unirsity of Oxford, Oxford OX1 NP, UK This rsion is of 8 May 217 1. Introduction Th Fokkr-Planck collision
More informationSeebeck and Peltier Effects
Sbck and Pltir Effcts Introduction Thrmal nrgy is usually a byproduct of othr forms of nrgy such as chmical nrgy, mchanical nrgy, and lctrical nrgy. Th procss in which lctrical nrgy is transformd into
More informationUnfired pressure vessels- Part 3: Design
Unfird prssur vssls- Part 3: Dsign Analysis prformd by: Analysis prformd by: Analysis vrsion: According to procdur: Calculation cas: Unfird prssur vssls EDMS Rfrnc: EF EN 13445-3 V1 Introduction: This
More informationPrinciples of Humidity Dalton s law
Principls of Humidity Dalton s law Air is a mixtur of diffrnt gass. Th main gas componnts ar: Gas componnt volum [%] wight [%] Nitrogn N 2 78,03 75,47 Oxygn O 2 20,99 23,20 Argon Ar 0,93 1,28 Carbon dioxid
More informationDifferential Equations
UNIT I Diffrntial Equations.0 INTRODUCTION W li in a world of intrrlatd changing ntitis. Th locit of a falling bod changs with distanc, th position of th arth changs with tim, th ara of a circl changs
More informationNusselt number correlations for simultaneously developing laminar duct flows of liquids with temperature dependent properties
Journal of Physics: Confrnc Sris OPEN ACCESS Nusslt numbr corrlations for simultanously dvloping laminar duct flows of liquids with tmpratur dpndnt proprtis To cit this articl: Stfano Dl Giudic t al 2014
More informationEXST Regression Techniques Page 1
EXST704 - Rgrssion Tchniqus Pag 1 Masurmnt rrors in X W hav assumd that all variation is in Y. Masurmnt rror in this variabl will not ffct th rsults, as long as thy ar uncorrlatd and unbiasd, sinc thy
More informationElements of Statistical Thermodynamics
24 Elmnts of Statistical Thrmodynamics Statistical thrmodynamics is a branch of knowldg that has its own postulats and tchniqus. W do not attmpt to giv hr vn an introduction to th fild. In this chaptr,
More informationMEASURING HEAT FLUX FROM A COMPONENT ON A PCB
MEASURING HEAT FLUX FROM A COMPONENT ON A PCB INTRODUCTION Elctronic circuit boards consist of componnts which gnrats substantial amounts of hat during thir opration. A clar knowldg of th lvl of hat dissipation
More informationExperimental study on heat and mass transfer for heating milk
Experimental study on heat and mass transfer for heating milk Mahesh Kumar Mechanical Engineering Department, Guru Jambheshwar University of Science & Technology, Hisar, India K S Kasana Galaxy Global
More informationSTATISTICAL METHODOLOGY FOR VALIDATION CALIBRATION METHODS IN HYDROMETRY Maria do Céu Ferreira 1, José Mendonça Dias 2
º ENCONTRO NACIONAL DA SOCIEDADE PORTUGUESA DE METROLOGIA A Mtrologia o Crscimnto Sustntado 7 d Novmbro d 006, Lisboa STATISTICAL METHODOLOGY FOR VALIDATION CALIBRATION METHODS IN HYDROMETRY Maria do Céu
More informationλ - Reference surface tension (at scale line), λ
XVIII IMEKO WORLD CONGRE Mtrology for a ustainabl Dvlopmnt ptmbr, 7, 006, Rio d Janiro, Brazil THE ROLE OF EXPERIMENTAL DEIGN IN THE HYDROMETER FIELD Maria do Céu Frrira, José Mndonça Dias Portugus Institut
More informationStudies of Turbulence and Transport in Alcator C-Mod Ohmic Plasmas with Phase Contrast Imaging and Comparisons with GYRO*
Studis of Turbulnc and Transport in Ohmic Plasmas with Phas Contrast Imaging and Comparisons with GYRO* L. Lin 1, M. Porkolab 1, E.M. Edlund 1, J.C. Rost 1, M. Grnwald 1, D.R. Mikklsn 2, N. Tsujii 1 1
More informationKoch Fractal Boundary Single feed Circularly Polarized Microstrip Antenna
1 Journal of Microwavs, Optolctronics and Elctromagntic Applications, Vol. 6, No. 2, Dcmbr 2007 406 Koch Fractal Boundary Singl fd Circularly Polarizd Microstrip Antnna P. Nagswara Rao and N. V. S.N Sarma
More informationRational Approximation for the one-dimensional Bratu Equation
Intrnational Journal of Enginring & Tchnology IJET-IJES Vol:3 o:05 5 Rational Approximation for th on-dimnsional Bratu Equation Moustafa Aly Soliman Chmical Enginring Dpartmnt, Th British Univrsity in
More information0WAVE PROPAGATION IN MATERIAL SPACE
0WAVE PROPAGATION IN MATERIAL SPACE All forms of EM nrgy shar thr fundamntal charactristics: 1) thy all tral at high locity 2) In traling, thy assum th proprtis of was 3) Thy radiat outward from a sourc
More informationIntroduction to Condensed Matter Physics
Introduction to Condnsd Mattr Physics pcific hat M.P. Vaughan Ovrviw Ovrviw of spcific hat Hat capacity Dulong-Ptit Law Einstin modl Dby modl h Hat Capacity Hat capacity h hat capacity of a systm hld at
More informationA Propagating Wave Packet Group Velocity Dispersion
Lctur 8 Phys 375 A Propagating Wav Packt Group Vlocity Disprsion Ovrviw and Motivation: In th last lctur w lookd at a localizd solution t) to th 1D fr-particl Schrödingr quation (SE) that corrsponds to
More informationCh. 24 Molecular Reaction Dynamics 1. Collision Theory
Ch. 4 Molcular Raction Dynamics 1. Collision Thory Lctur 16. Diffusion-Controlld Raction 3. Th Matrial Balanc Equation 4. Transition Stat Thory: Th Eyring Equation 5. Transition Stat Thory: Thrmodynamic
More information4.2 Design of Sections for Flexure
4. Dsign of Sctions for Flxur This sction covrs th following topics Prliminary Dsign Final Dsign for Typ 1 Mmbrs Spcial Cas Calculation of Momnt Dmand For simply supportd prstrssd bams, th maximum momnt
More informationForced flow heat transfer from a round wire in a vertically- mounted pipe to supercritical hydrogen
IOP Confrnc Sris: Matrials Scinc and Enginring PAPER OPEN ACCESS Forcd flow hat transfr from a round wir in a vrtically- mountd pip to suprcritical hydrogn To cit this articl: Y Hori t al 2015 IOP Conf.
More informationDesign of a Test Rig for the Study of Methane Drying by Cooling Effect
Availabl onlin at http://journals.usamvcluj.ro/indx.php/promdiu ProEnvironmnt ProEnvironmnt 7 (204) 23-3 Original Articl Dsign of a Tst Rig for th Study of Mthan Drying by Cooling Effct SAFIRESCU Călin
More informationis an appropriate single phase forced convection heat transfer coefficient (e.g. Weisman), and h
For t BWR oprating paramtrs givn blow, comput and plot: a) T clad surfac tmpratur assuming t Jns-Lotts Corrlation b) T clad surfac tmpratur assuming t Tom Corrlation c) T clad surfac tmpratur assuming
More informationTitl Film boiling hat transfr from a w hydrogn and liquid nitrogn Shiotsu, M.; Shirai, Y.; Hori, Y.; Author(s) Tatsumoto, H.; Hata, K.; Kobayashi, Y.; Inatani, Y. Citation IOP Confrnc Sris: Matrials Sc
More informationTitle: Vibrational structure of electronic transition
Titl: Vibrational structur of lctronic transition Pag- Th band spctrum sn in th Ultra-Violt (UV) and visibl (VIS) rgions of th lctromagntic spctrum can not intrprtd as vibrational and rotational spctrum
More information2008 AP Calculus BC Multiple Choice Exam
008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl
More informationDesorption Isotherm Model for a Malaysian Rough Rice Variety (MR219)
Prtanika J. Trop. Agric. Sci. 36 (2): 89-98 (203) TROPICAL AGRICULTURAL SCIENCE Journal hompag: http://www.prtanika.upm.du.my/ Dsorption Isothrm Modl for a Malaysian Rough Ric Varity (MR29) M. Nordin Ibrahim,
More informationA General Thermal Equilibrium Discharge Flow Model
Journal of Enrgy and Powr Enginring 1 (216) 392-399 doi: 1.17265/1934-8975/216.7.2 D DAVID PUBLISHING A Gnral Thrmal Equilibrium Discharg Flow Modl Minfu Zhao, Dongxu Zhang and Yufng Lv Dpartmnt of Ractor
More informationAS 5850 Finite Element Analysis
AS 5850 Finit Elmnt Analysis Two-Dimnsional Linar Elasticity Instructor Prof. IIT Madras Equations of Plan Elasticity - 1 displacmnt fild strain- displacmnt rlations (infinitsimal strain) in matrix form
More informationWhy is a E&M nature of light not sufficient to explain experiments?
1 Th wird world of photons Why is a E&M natur of light not sufficint to xplain xprimnts? Do photons xist? Som quantum proprtis of photons 2 Black body radiation Stfan s law: Enrgy/ ara/ tim = Win s displacmnt
More informationMachine Detector Interface Workshop: ILC-SLAC, January 6-8, 2005.
Intrnational Linar Collidr Machin Dtctor Intrfac Workshop: ILCSLAC, January 68, 2005. Prsntd by Brtt Parkr, BNLSMD Mssag: Tools ar now availabl to optimiz IR layout with compact suprconducting quadrupols
More informationThermodynamical insight on the role of additives in shifting the equilibrium between white and grey tin
hrmodynamical insight on th rol of additivs in shifting th quilibrium btwn whit and gry tin Nikolay Dmntv Dpartmnt of Chmistry, mpl Univrsity, Philadlphia, PA 19122 Abstract In this study mthods of statistical
More informationRadiation Physics Laboratory - Complementary Exercise Set MeBiom 2016/2017
Th following qustions ar to b answrd individually. Usful information such as tabls with dtctor charactristics and graphs with th proprtis of matrials ar availabl in th cours wb sit: http://www.lip.pt/~patricia/fisicadaradiacao.
More informationEFFECT OF BALL PROPERTIES ON THE BALL-BAT COEFFICIENT OF RESTITUTION
EFFECT OF BALL PROPERTIES ON THE BALL-BAT COEFFICIENT OF RESTITUTION A. M. NATHAN 1 AND L. V. SMITH 2 1 Univrsity of Illinois, 1110 W. Grn Strt, Urbana, IL 61801, USA, E-mail: a-nathan@illinois.du 2 Washington
More informationCOMPUTATIONAL NUCLEAR THERMAL HYDRAULICS
COMPUTTIONL NUCLER THERML HYDRULICS Cho, Hyoung Kyu Dpartmnt of Nuclar Enginring Soul National Univrsity CHPTER4. THE FINITE VOLUME METHOD FOR DIFFUSION PROBLEMS 2 Tabl of Contnts Chaptr 1 Chaptr 2 Chaptr
More informationIYPT 2000 Problem No. 3 PLASMA
IYPT 000 Problm No. 3 PLASMA Tam Austria Invstigat th lctrical conducivity of th flam of a candl. Examin th influnc of rlvant paramtrs, in particular, th shap and polarity of th lctrods. Th xprimnts should
More informationAvailable online at ScienceDirect. Physics Procedia 69 (2015 )
Availabl onlin at www.scincdirct.com ScincDirct Physics Procdia 69 (05 ) 58 64 0 World Confrnc on Nutron Radiography 5-0 Octobr 04 Exprinc of th Indirct Nutron Radiography Mthod Basd on th X-ray Imaging
More informationA Control Strategy for Photovoltaic-Solid Polymer Electrolysis System Based on Surface Temperature of PV Panel
Amrican Journal of Applid Scincs 5 (7): 5-, ISSN 1546-939 Scinc Publications Corrsponding Author: A Control Stratgy for Photovoltaic-Solid Polymr Elctrolysis Systm Basd on Surfac Tmpratur of PV Panl 1
More informationExtraction of Doping Density Distributions from C-V Curves
Extraction of Doping Dnsity Distributions from C-V Curvs Hartmut F.-W. Sadrozinski SCIPP, Univ. California Santa Cruz, Santa Cruz, CA 9564 USA 1. Connction btwn C, N, V Start with Poisson quation d V =
More informationFinite Element Model of a Ferroelectric
Excrpt from th Procdings of th COMSOL Confrnc 200 Paris Finit Elmnt Modl of a Frrolctric A. Lópz, A. D Andrés and P. Ramos * GRIFO. Dpartamnto d Elctrónica, Univrsidad d Alcalá. Alcalá d Hnars. Madrid,
More informationData Assimilation 1. Alan O Neill National Centre for Earth Observation UK
Data Assimilation 1 Alan O Nill National Cntr for Earth Obsrvation UK Plan Motivation & basic idas Univariat (scalar) data assimilation Multivariat (vctor) data assimilation 3d-Variational Mthod (& optimal
More informationy=h B 2h Z y=-h ISSN (Print) Dr. Anand Swrup Sharma
Scolars Journal of Enginring and Tcnology (SJET) Sc. J. Eng. Tc., 5; 3(A):4-54 Scolars Acadmic and Scintific ublisr (An Intrnational ublisr for Acadmic and Scintific Rsourcs) www.saspublisr.com ISSN 3-435X
More informationChemical Physics II. More Stat. Thermo Kinetics Protein Folding...
Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg
More informationA nonequilibrium molecular dynamics simulation of evaporation
Intrnational Confrnc Passiv and Low Enrgy Cooling 543 A nonquilibrium molcular dynamics simulation of vaporation Z.-J. Wang, M. Chn and Z.-Y. Guo Dpartmnt of Enginring Mchanics, Tsinghua Univrsity, Bijing
More informationThe Control of Electromagnetic Filter by Using FPGA Based PI Type Fuzzy Controller
Th Control of Elctromagntic Filtr by Using FPGA Basd PI Typ Fuzzy Controllr Ilkr Ali OZKAN a, Ismail SARITAS b, Saadtdin HERDEM b a Dpartmnt of Computr Enginring, b Dpartmnt of Elctrical and Elctronics
More informationLearning Spherical Convolution for Fast Features from 360 Imagery
Larning Sphrical Convolution for Fast Faturs from 36 Imagry Anonymous Author(s) 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 3 3 33 34 35 In this fil w provid additional dtails to supplmnt th main papr
More informationCharacteristics of Gliding Arc Discharge Plasma
Caractristics of Gliding Arc Discarg Plasma Lin Li( ), Wu Bin(, Yang Ci(, Wu Cngkang ( Institut of Mcanics, Cins Acadmy of Scincs, Bijing 8, Cina E-mail: linli@imc.ac.cn Abstract A gliding arc discarg
More informationToward Self-Healing Hydrogels Using One-Pot. Thiol Ene Click and Borax-Diol Chemistry
Toward Slf-Haling Hydrogls Using On-Pot Thiol En Click and Borax-Diol Chmistry Lirong H 1, Danil Szopinski 1, Yang Wu 1, Grrit A. Luinstra 1, Patrick Thato* 1 1 Institut for Tchnical and Macromolcular
More informationBrief Introduction to Statistical Mechanics
Brif Introduction to Statistical Mchanics. Purpos: Ths nots ar intndd to provid a vry quick introduction to Statistical Mchanics. Th fild is of cours far mor vast than could b containd in ths fw pags.
More informationThe pn junction: 2 Current vs Voltage (IV) characteristics
Th pn junction: Currnt vs Voltag (V) charactristics Considr a pn junction in quilibrium with no applid xtrnal voltag: o th V E F E F V p-typ Dpltion rgion n-typ Elctron movmnt across th junction: 1. n
More informationSearch sequence databases 3 10/25/2016
Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an
More informationINTEGRATION BY PARTS
Mathmatics Rvision Guids Intgration by Parts Pag of 7 MK HOME TUITION Mathmatics Rvision Guids Lvl: AS / A Lvl AQA : C Edcl: C OCR: C OCR MEI: C INTEGRATION BY PARTS Vrsion : Dat: --5 Eampls - 6 ar copyrightd
More informationOn the Hamiltonian of a Multi-Electron Atom
On th Hamiltonian of a Multi-Elctron Atom Austn Gronr Drxl Univrsity Philadlphia, PA Octobr 29, 2010 1 Introduction In this papr, w will xhibit th procss of achiving th Hamiltonian for an lctron gas. Making
More informationHomotopy perturbation technique
Comput. Mthods Appl. Mch. Engrg. 178 (1999) 257±262 www.lsvir.com/locat/cma Homotopy prturbation tchniqu Ji-Huan H 1 Shanghai Univrsity, Shanghai Institut of Applid Mathmatics and Mchanics, Shanghai 272,
More informationClausius-Clapeyron Equation
ausius-apyron Equation 22000 p (mb) Liquid Soid 03 6. Vapor 0 00 374 (º) oud drops first form whn th aporization quiibrium point is rachd (i.., th air parc bcoms saturatd) Hr w dop an quation that dscribs
More informationSome Results on E - Cordial Graphs
Intrnational Journal of Mathmatics Trnds and Tchnology Volum 7 Numbr 2 March 24 Som Rsults on E - Cordial Graphs S.Vnkatsh, Jamal Salah 2, G.Sthuraman 3 Corrsponding author, Dpartmnt of Basic Scincs, Collg
More informationEinstein Equations for Tetrad Fields
Apiron, Vol 13, No, Octobr 006 6 Einstin Equations for Ttrad Filds Ali Rıza ŞAHİN, R T L Istanbul (Turky) Evry mtric tnsor can b xprssd by th innr product of ttrad filds W prov that Einstin quations for
More informationMath 34A. Final Review
Math A Final Rviw 1) Us th graph of y10 to find approimat valus: a) 50 0. b) y (0.65) solution for part a) first writ an quation: 50 0. now tak th logarithm of both sids: log() log(50 0. ) pand th right
More informationVoltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes
Lctur 1. oltag, Currnt, Powr, Sris sistanc, Paralll sistanc, and Diods Whn you start to dal with lctronics thr ar thr main concpts to start with: Nam Symbol Unit oltag volt Currnt ampr Powr W watt oltag
More informationResidence Times Difference (RTD) - Fluxgate Magnetometer A.A. 2007/2008
Univrsità dgli Studi di atania Facoltà di Inggnria Dipartimnto di Inggnria Elttrica Elttronica di Sistmi Rsidnc Tims Diffrnc (RTD) - Fluxgat Magntomtr Ing.. arlo Trigona A.A. 007/ Outlin lassification
More informationare given in the table below. t (hours)
CALCULUS WORKSHEET ON INTEGRATION WITH DATA Work th following on notbook papr. Giv dcimal answrs corrct to thr dcimal placs.. A tank contains gallons of oil at tim t = hours. Oil is bing pumpd into th
More informationDetermination of Vibrational and Electronic Parameters From an Electronic Spectrum of I 2 and a Birge-Sponer Plot
5 J. Phys. Chm G Dtrmination of Vibrational and Elctronic Paramtrs From an Elctronic Spctrum of I 2 and a Birg-Sponr Plot 1 15 2 25 3 35 4 45 Dpartmnt of Chmistry, Gustavus Adolphus Collg. 8 Wst Collg
More informationLightning in Saturn s atmosphere
Articl Sun & Solar Systm May 3 Vol58 No4: 65654 doi: 7/s434-3-588- Lightning in Saturn s atmosphr WU HanBo & CHEN ChuXin * CAS Ky Laboratory of Gospac Enironmnt, Dpartmnt of Gophysics and Plantary Scincs,
More informationThe Description and Scaling Behavior for the Inner Region of the Boundary Layer for 2-D Wall-bounded Flows
Th Dscription and Scaling Bhaior for th Innr Rgion of th Boundary Layr for -D Wall-boundd Flows By Daid W. Wyburn 1 Air Forc Rsarch Laboratory, 41 Aionics Circl, Wright-Pattrson AFB, OH 45433, USA Abstract
More informationCalculation of Morse Potential Parameters of bcc Crystals and Application to Anharmonic Interatomic Effective Potential, Local Force Constant
VNU Journal of Scinc: Mathmatics Physics, Vol. 31, No. 3 (15) 3-3 Calculation of Mors Potntial Paramtrs of bcc Crystals and Application to Anharmonic Intratomic Effctiv Potntial, Local Forc Constant Nguyn
More informationDynamic Modelling of Hoisting Steel Wire Rope. Da-zhi CAO, Wen-zheng DU, Bao-zhu MA *
17 nd Intrnational Confrnc on Mchanical Control and Automation (ICMCA 17) ISBN: 978-1-6595-46-8 Dynamic Modlling of Hoisting Stl Wir Rop Da-zhi CAO, Wn-zhng DU, Bao-zhu MA * and Su-bing LIU Xi an High
More informationMulti-scale Analysis of Void Closure for Heavy Ingot Hot Forging
Modrn Applid Scinc; ol. 6, No. ; ISSN 9-844 E-ISSN 9-85 Publishd by Canadian Cntr of Scinc and Education Multi-scal Analysis of oid Closur for Havy Ingot Hot Forging Xiaoxun Zhang, Fang Ma, Kai Ma & Xia
More informationIn this lecture... Subsonic and supersonic nozzles Working of these nozzles Performance parameters for nozzles
Lct-30 Lct-30 In this lctur... Subsonic and suprsonic nozzls Working of ths nozzls rformanc paramtrs for nozzls rof. Bhaskar Roy, rof. A M radp, Dpartmnt of Arospac, II Bombay Lct-30 Variation of fluid
More informationExperimental Investigation of Wire-EDM Process Parameters on MRR of Ti-6al-4v Alloy
Intrnational Journal of Innovativ Tchnology and Exploring Enginring (IJITEE) ISSN: 78-075, Volum-, Issu-5, Octobr 01 Exprimntal Invstigation of Wir-EDM Procss Paramtrs on of Ti-6al-v Alloy Parvn Kr. Saini,
More informationObserver Bias and Reliability By Xunchi Pu
Obsrvr Bias and Rliability By Xunchi Pu Introduction Clarly all masurmnts or obsrvations nd to b mad as accuratly as possibl and invstigators nd to pay carful attntion to chcking th rliability of thir
More informationThe graph of y = x (or y = ) consists of two branches, As x 0, y + ; as x 0, y +. x = 0 is the
Copyright itutcom 005 Fr download & print from wwwitutcom Do not rproduc by othr mans Functions and graphs Powr functions Th graph of n y, for n Q (st of rational numbrs) y is a straight lin through th
More informationA New Approach to the Fatigue Life Prediction for Notched Components Under Multiaxial Cyclic Loading. Zhi-qiang TAO and De-guang SHANG *
2017 2nd Intrnational Conrnc on Applid Mchanics, Elctronics and Mchatronics Enginring (AMEME 2017) ISBN: 978-1-60595-497-4 A Nw Approach to th Fatigu Li Prdiction or Notchd Componnts Undr Multiaxial Cyclic
More informationIntroduction to the quantum theory of matter and Schrödinger s equation
Introduction to th quantum thory of mattr and Schrödingr s quation Th quantum thory of mattr assums that mattr has two naturs: a particl natur and a wa natur. Th particl natur is dscribd by classical physics
More informationInstantaneous Cutting Force Model in High-Speed Milling Process with Gyroscopic Effect
Advancd Matrials sarch Onlin: -8-6 ISS: 66-8985, Vols. 34-36, pp 389-39 doi:.48/www.scintific.nt/am.34-36.389 rans ch Publications, Switzrland Instantanous Cutting Forc Modl in High-Spd Milling Procss
More informationCE 530 Molecular Simulation
CE 53 Molcular Simulation Lctur 8 Fr-nrgy calculations David A. Kofk Dpartmnt of Chmical Enginring SUNY Buffalo kofk@ng.buffalo.du 2 Fr-Enrgy Calculations Uss of fr nrgy Phas quilibria Raction quilibria
More informationAnalysis of a dengue disease transmission model with vaccination
Aailabl onlin at wwwplagiarsarchlibrarycom Adancs in Applid Scinc sarch 4 5(3):37-4 ISSN: 976-86 CODEN (USA): AASFC Analysis of a dngu disas transmission modl with accination B Singh¹ S Jain² Khandlwal¹
More informationEFFECT OF CONSOLIDATION RATIOS ON MAXIMUM DYNAMIC SHEAR MODULUS OF SANDS
Octobr 12-17, 28, Bijing, China EFFECT OF CONSOLIDATION RATIOS ON MAXIMUM DYNAMIC SHEAR MODULUS OF SANDS Xiaoming YUAN 1 Jing SUN 2 and Rui SUN 3 1 Profssor, Dpt. of otchnical Enginring, Institut of Enginring
More informationOne Dimensional State Space Approach to Thermoelastic Interactions with Viscosity
7 IJSRST Volum 3 Issu 8 Print ISSN: 395-6 Onlin ISSN: 395-6X Thmd Sction: Scincand Tchnology On Dimnsional Stat Spac Approach to Thrmolastic Intractions with Viscosity Kavita Jain Rnu Yadav Dpartmnt of
More informationLINEAR DELAY DIFFERENTIAL EQUATION WITH A POSITIVE AND A NEGATIVE TERM
Elctronic Journal of Diffrntial Equations, Vol. 2003(2003), No. 92, pp. 1 6. ISSN: 1072-6691. URL: http://jd.math.swt.du or http://jd.math.unt.du ftp jd.math.swt.du (login: ftp) LINEAR DELAY DIFFERENTIAL
More informationHeat Flux Measurements in the Hall Thruster Plume
Hat Flux Masurmnts in th Hall Thrustr Plum IEPC-25-67 Prsntd at th 29 th Intrnational Elctric Propulsion Confrnc, Princton Univrsity, Octobr 31 Novmbr 4, 25 G. Makrinich * and A. Fruchtman Holon Acadmic
More informationTwo Products Manufacturer s Production Decisions with Carbon Constraint
Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint
More informationHigher order derivatives
Robrto s Nots on Diffrntial Calculus Chaptr 4: Basic diffrntiation ruls Sction 7 Highr ordr drivativs What you nd to know alrady: Basic diffrntiation ruls. What you can larn hr: How to rpat th procss of
More informationFull Order Observer Controller Design for Two Interacting Tank System Based on State Space Approach
Intrnational Journal of Application or Innovation in Enginring & Managmnt (IJAIEM) Wb Sit: www.ijaim.org Email: ditor@ijaim.org Volum 6, Issu 7, July 07 ISSN 39-4847 Full Ordr Obsrvr Controllr Dsign for
More information2017 Water Reactor Fuel Performance Meeting September 10 (Sun) ~ 14 (Thu), 2017 Ramada Plaza Jeju Jeju Island, Korea
2017 Watr Ractor Ful Prformanc Mting Sptmbr 10 (Sun) ~ 14 (Thu), 2017 Ramada Plaza Jju Jju Island, Kora Study of Ful Rod Bhavior with Missing Pllt Surfac Dfct Zhnhai Liu 1, Yi Zhou 1, Ping Chn 1, Yuanming
More informationAdsorption of o-cresol Using Activated Carbon
2012 Intrnational Confrnc on Clan and Grn Enrgy IPCBEE vol.27 (2012) (2012) IACSIT Prss, Singapor Adsorption of o-crsol Using Activatd Carbon Shabiimam M. A. 1 and Anil Kumar Dikshit 2,3,4 + 1,2 Cntr for
More information1 Isoparametric Concept
UNIVERSITY OF CALIFORNIA BERKELEY Dpartmnt of Civil Enginring Spring 06 Structural Enginring, Mchanics and Matrials Profssor: S. Govindj Nots on D isoparamtric lmnts Isoparamtric Concpt Th isoparamtric
More informationECE507 - Plasma Physics and Applications
ECE507 - Plasma Physics and Applications Lctur 7 Prof. Jorg Rocca and Dr. Frnando Tomasl Dpartmnt of Elctrical and Computr Enginring Collisional and radiativ procsss All particls in a plasma intract with
More information3 Finite Element Parametric Geometry
3 Finit Elmnt Paramtric Gomtry 3. Introduction Th intgral of a matrix is th matrix containing th intgral of ach and vry on of its original componnts. Practical finit lmnt analysis rquirs intgrating matrics,
More informationNumerical Analysis of Transient Responses for Elastic Structures Connected to a Viscoelastic Shock Absorber Using FEM with a Nonlinear Complex Spring
Numrical Analysis of Transint Rsponss for Elastic Structurs Connctd to a Viscolastic Shock Absorbr Using FEM with a Nonlinar Complx Spring Takao Yamaguchi, Yusaku Fujii, Toru Fukushima, Akihiro Takita,
More informationELECTRON-MUON SCATTERING
ELECTRON-MUON SCATTERING ABSTRACT Th lctron charg is considrd to b distributd or xtndd in spac. Th diffrntial of th lctron charg is st qual to a function of lctron charg coordinats multiplid by a four-dimnsional
More informationGEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES. Eduard N. Klenov* Rostov-on-Don, Russia
GEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES Eduard N. Klnov* Rostov-on-Don, Russia Th articl considrs phnomnal gomtry figurs bing th carrirs of valu spctra for th pairs of th rmaining additiv
More informationWhat are those βs anyway? Understanding Design Matrix & Odds ratios
Ral paramtr stimat WILD 750 - Wildlif Population Analysis of 6 What ar thos βs anyway? Undrsting Dsign Matrix & Odds ratios Rfrncs Hosmr D.W.. Lmshow. 000. Applid logistic rgrssion. John Wily & ons Inc.
More information10. The Discrete-Time Fourier Transform (DTFT)
Th Discrt-Tim Fourir Transform (DTFT Dfinition of th discrt-tim Fourir transform Th Fourir rprsntation of signals plays an important rol in both continuous and discrt signal procssing In this sction w
More informationPROOF OF FIRST STANDARD FORM OF NONELEMENTARY FUNCTIONS
Intrnational Journal Of Advanc Rsarch In Scinc And Enginring http://www.ijars.com IJARSE, Vol. No., Issu No., Fbruary, 013 ISSN-319-8354(E) PROOF OF FIRST STANDARD FORM OF NONELEMENTARY FUNCTIONS 1 Dharmndra
More informationSTOCHASTIC TECHNIQUE FOR SOLUTIONS OF NONLINEAR FIN EQUATION ARISING IN THERMAL EQUILIBRIUM MODEL
STOCHASTIC TECHNIQUE FOR SOLUTIONS OF NONLINEAR FIN EQUATION ARISING IN THERMAL EQUILIBRIUM MODEL Iftikhar AHMAD, Hina QURESHI, Muhammad BILAL 3, and Muhammad USMAN 4* Dpartmnt of Mathmatics, Univrsity
More informationDevelopment of In Situ Permeability Test Using Constant Discharge Method for Sandy Soils
Dvlopmnt of In Situ Prmability Tst Using Constant Discharg Mthod for Sandy Soils A. Rifa i, Y. Tashita, M. Komatsu Abstract Th post-rain puddls problm that occurs in th first yard of Prambanan Tmpl ar
More informationSliding Mode Flow Rate Observer Design
Sliding Mod Flow Rat Obsrvr Dsign Song Liu and Bin Yao School of Mchanical Enginring, Purdu Univrsity, Wst Lafaytt, IN797, USA liu(byao)@purdudu Abstract Dynamic flow rat information is ndd in a lot of
More information