PERFORMANCE OF FLUIDIZED BED COOLING TOWER BY USING GLASS BALLS AND CERAMIC TILE PACKING

Size: px
Start display at page:

Download "PERFORMANCE OF FLUIDIZED BED COOLING TOWER BY USING GLASS BALLS AND CERAMIC TILE PACKING"

Transcription

1 Inrnaional Journal of Innovaiv Rsarch in Tchnology, Scinc & Enginring (IJIRTSE wwwioirpcom ISSN: -6, Volum, Issu Jun 8 PERFORMANCE OF FLUIDIZED BED COOLING TOWER BY USING GLASS BALLS AND CERAMIC TILE PACKING GSnhilVl * SSudhakar M Vlmurugan ( *,, Assisan Profssors Dparmn of mchanical Krishnasamy Collg Of Enginring And Tchnology Cuddalor 67 ABSTRACT: A h prsn scnario a lo dmand of lcriciy for h purpos of human uilizaion Through h powr plan play h major rol for h abov mniond nd mulipl procss Powr plan has h various ascps and limiaions wih hir mris and dmris Th rm ha xchang in fild of hrmal nginring as wll as in powr plan plays h major rol in hir fficincy of hrmal conduciviy Rmoval of ha from h uilisd flu gas conribus h diffrn challngs for h powr plan Ths drawbacks and limiaions ar akn in h accoun h spark of innovaion and h ida ovr h cooling owr In his papr w analysis and prformancs ovr h cooling owr wih h br dsign and modificaion Th chnical daa is akn for Mini draf cooling owr Hr h cooling is don by h applicaion of Glass Balls and cramic il packing as a bd marial and finally a hr saic bd wr consrucd W ar using an forcd draf and h ho war mpraur from C o C is usd for our analysis Insad of many marial w uiliz h glass and i is slc for fluidisd bd cooling owr for h good mchanical propris in cooling owr for his packing marial Kywords: Fluidisd bd cooling owr, Thrmal conduciviy, Glass ball, cramic ils I INTRODUCTION: Cooling owrs ar ha rmoval dvics usd o ransfr procss was ha o h amosphr Cooling owrs mak us of vaporaion whrby som of h war is vaporad ino a moving air sram and subsqunly dischargd ino h amosphr As a rsul, h rmaindr of h war is coold down significanlyconsidr h surfac of a warm war dropl or film in conac wih an air sramby radiaion- This ffc is likly o b vry small a normal condiions and may b nglcd By conducion and convcion This will dpnd on h mpraur diffrnc, h surfac ara, air vlociy, c By vaporaion This is by far h mos imporan ffc Cooling aks plac as molculs of HO diffus from h surfac ino h surrounding air Ths molculs ar hn rplacd by ohrs from h liquid (vaporaion and h nrgy rquird for his is akn from h rmaining liquid Thr ar svral imporan facors ha govrn h opraion of cooling owr:th dry-bulb and w-bulb mpraurs of h air and warm war o considr Furhr h mpraur of warm war h fficincy of conac bwn air and war in rms of h volumric mass ransfr cofficin and h conac im bwn h air and h war o b noicd wih a uniformiy of disribuion of h phass wihin h owr and finally h air prssur drop Air migh nr h owr drivn by a dnsiy gradin (naural draf, migh b pushd ino h owr (forcd draf a h bas or drawn ino h owr (inducd draf assisd by a fan Svral yps of cooling owrs hav bn dsignd on h basis of h abov facors and opraing sragis II LITERATURE REVIEW In his papr h auhors dscribd ha h ha ransfr and prssur drop characrisicsof splash grid yp cooling owr packingth auhors corrlad h owr characrisic wihh war/air mass flow raio and mniond ha hfacors affcing h valu of h owr characrisicwr found o b h war-o-air raio, h packdhigh, h dck gomry and, o a vry small xn,h ho war mpraur Thy also mniond hah owr characrisic a a givn war-o-air raiowas found o b indpndn of w bulb mpraurand air loading, wihin h limis of air loading usdin commrcial cooling owrs[] Th auhor conducd h hrmal and hydraulic prformancs of a hrphas fluidizd bd coolingowr H usd spongy rubbr balls 7 mm indiamr and wih a dnsiy of 7 kg/m as a packing,and dvlopd a corrlaion bwn h owrcharacrisic, ho war inl mpraur, saic bdhigh, and h war/air mass flux raio[] In his papr w mad a amp wih a xprimnal masurmns on wo pilo-scal

2 Inrnaional Journal of Innovaiv Rsarch in Tchnology, Scinc & Enginring (IJIRTSE wwwioirpcom ISSN: -6, Volum, Issu Jun 8 cooling owrs in ordr o analys h prformanc of diffrn cooling owr filling marials Thy sd svn yps of counr flow film yp fills and corrlad hir prssur drop daa as wll as h volumric ha ransfr cofficin wih h war and air flow ras[] Th auhor dscribd anpacking in an vaporaiv cooling sysm osudy is hrmal and hydraulic prformancs Thrfor,his sudy prsns an xprimnal invsigaionof h hrmal prformancs of cooling owrs filldwih h VGA yp packing This packing consissof vrical grids disposd bwn walls in h form ofzig-zag Th principl of is prformanc is as follows:h gas (air nrs a h boom of h owr and goso h op of ha whil crossing svral ims h vricalgrids, whras h liquid (war is inroducd ah op of h owr and flows along h vrical grids[] III METHODOLOGY Th main purpos of his papr is o carry ou an xprimnal invsigaion of h prformanc characrisics of a dirc-conac counr flow w cooling owr filld wih h cramic yp and glass balls packing Various xprimnal conducd basd on h ha xchangrs wih h hlp of forcd draf of h fluidizd bd Finally Th xprimnal rsuls wr analysd and discussd IV COMPONENTS OF OUR COOLING TOWER Th srucural componns of cooling owr such as: cold war basin, framwork, war disribuion sysm, fan dck, fan cylindrs, mchanical quipmn suppors, fill, drif liminaors, casing and louvrs A COLD WATER BASIN Th cold war basin has wo fundamnally imporan funcions: collcing h coldwar following is ransi of h owr, and acing as h owr s primary foundaion B TOWER FRAMEWORK Th usd marials for h framwork of fild-rcd owrs ar, wih sl uilizd for h vrical rcangular column which is of mrs high, which can hold hr bds C WATER DISTRIBUTION SYSTEM Th war lin w usd is mm CPVC piplins which can hold up o 8 C, h maximum mpraur w going o us is 6 C so i s nough for our purpos D BLOWER In our ki, w ar doing an forcd draf sysm, for ha h blowr abov h cooling owr is vry imporan which absorbs h ha from h ho war which is dissipad from h bd, h blowr runs a high spd o absorb h ho air prsn insid h cooling owrfig Th phoographic viw of blowr E FILL (HEAT TRANSFER SURFACE Fill (ha ransfr surfac is abl o promo boh h maximum conac surfac and h maximum conac im bwn air and war drmins h fficincy of h owr In our cooling owr w ar using glass balls and cramic il packing as a fill marials which ar usd as a bd marials in fluidisd bd cooling owr From liraur rviws w prfrrd his balls which having ha ransfr cofficins and morovr PVC marials ar usd as a fills in commrcial cooling owrs F LOUVERS Evry wll-dsignd cross flow owr is quippd wih inl louvrs, whras counr flow owrs ar only occasionally rquird o hav louvrs Thir purpos is o rain circulaing war wihin h confins of h owr, as wll as o qualiz airflow ino h fill G PUMP Th pumps hlps in pumping h ho war from h ank for our obsrvaion purpos Th pump having h flow capaciy of lirs pr minu H VALVES Valvs ar usd o conrol and rgula flow hrough h war lins srving h owr

3 Inrnaional Journal of Innovaiv Rsarch in Tchnology, Scinc & Enginring (IJIRTSE wwwioirpcom ISSN: -6, Volum, Issu Jun 8 Valvs uilizd for cooling owr applicaion includ: a Sop valvs: Thy ar usd on boh counr flow and cross flow owrs o rgula flow in mulipl-risr owrs, and o sop flow in a paricular risr for cll mainnanc b Flow-conrol valvs: Thy ar considrd o discharg o h amosphr, and ssnially as h nd-of-lin valvs c Mak-up valvs: Ths ar valvs uilizd o auomaically rplnish h normal war losss from h sysm I HEATER To g a ho war circulaion of mpraur of abou C w jus haing h rquird war for analysis purpos w using wo W hars J WIRING SYSTEM Th wiring sysm dsign mus considr prinn daa on h availabl volag (is acual valu, as wll as is sabiliy, lngh of lins from h powr supply o h moor, and h moor horspowr rquirmns K DIGITAL TEMPERATURE INDICATOR A mpraur indicaor is a dvic which convrs h dviaion of volag during mpraur changs ino rspciv mpraur volag valus W ar using a six poin mpraur indicaor which shows h mpraur valus of inl ho war mpraur, oul cold war mpraur, hr bd mpraurs and xi air mpraur L THERMOCOUPLE A hrmocoupl is a snsor usd o masur mpraur Thrmocoupls consis of wo wir lgs mad from diffrn mals Th wir lgs ar wldd oghr a on nd, craing a juncion This Juncion is whr h mpraur is masurd Whn h juncion xprinc a chang in mpraur a volag is crad which is convrd ino rspciv mpraur valu by mpraur indicaor M THERMOSTAT A hrmosa is a bimallic swich which auomaically cu of h circui afr aaining h pr- dfind mpraur valus W ar using a ndl yp hrmosa in which w can conrol h har valu from C o 6 C Our maximum limid mpraur o h cooling owr is C N MECHANICAL EQUIPMENT SUPPORTS Cusomary marial for h uniizd suppors is carbon sl, ho-dip galvanizd afr fabricaion, wih sainlss sl consrucion availabl a significan addiional cos V WORKING PRINCIPLE Ho war circulaion plays a major rol on sing h cooling owr Furhr h War is o b had a various rquird rangs of - C Th har is mound on h ank and hn i is conncd o h hrmosa whr is auomaically cu off for h s mpraur Afr h procss of haing h war is sn o a sorag ank whr i is pumpd o h cooling owr hrough piplin A h boom of h owr a blowr is placd for forcd draf arrangmn and mad a provision for h piplin o nr from h sid of h owr Bfor h war dircly rachs h bd h war is splis ino dropls wih h hlp of h showr Th bd consiss of glass balls and cramic il packing which ar usd as a bd marial in fluidizd bd cooling owr Th hr sags of bd cooling owr packd whr in a rang of mm for ach bd sag And his procss is carrid ou rpadly VI EXPERIMENTAL PROCEDURE Afr aaining h s valu of h ho war h har is auomaically swichd off Thn h pump is swichd on Th war sard ocirculad hrough piplin from ank o cooling owr for somims o aain h sady sa Tmpraur bwn h bds wr noicd and abulad(, Tmpraur radings ar nod down wih h hlpof h mpraur snsorand mpraur indicaor(hrmo coupl a Ho war inl, bds, coold down war VII RESULTS AND CALCULATIONS War Flow Ra (L: 8 m / hr Air Flow Ra (G: m / hr Ambin mpraur: C W bulb mpraur: C

4 EFFECTIVENESS Inrnaional Journal of Innovaiv Rsarch in Tchnology, Scinc & Enginring (IJIRTSE wwwioirpcom ISSN: -6, Volum, Issu Jun 8 Tabl, shows h rading valus akn from h owr TABLE : COOLING TOWER MEASUREMENTS (WITHOUT BED: 6 8 KaV/l S N o : war mpr aur ( C In l 8 O u l 6 7 Air mp raur ( C i n l O u l W bu lb m p raur ( C R a n g ( C Ap pro ach ( C uni Eff ci vn -ss ɛ uni % TABLE COOLING TOWER MEASUREMENTS (WITH BED: 6 Fig Graphical illusraion of Ho war mpraur Vs Effcivnss EFFICIENCY (% BED HOT WATER TEMPERATURE Vs EFFECTIVENESS HOT WATER TEMPERATURE Vs EFFICIENCY 8 WITH BED WITHOUT WITH BED WITHOUT BED S N o: war mpr aur ( C In l 8 Ou l 6 7 Air mpra ur ( C In l ou l W bul b m pr a- ur ( C Ra ng ( C Appr oach ( C uni Eff civ n- ss ɛ uni 7 % Fig; Graphical illusraion Ho war mpraur Vs Efficincy HOT WATER TEMPERATURE Vs KaV/l 8 Ho war mpraur Vs KaV/l WITH BED WITHOUT BED 6

5 Inrnaional Journal of Innovaiv Rsarch in Tchnology, Scinc & Enginring (IJIRTSE wwwioirpcom ISSN: -6, Volum, Issu Jun 8 CALCULATION: Cooling owr rang T wi - T wo C - 7 C 8 C Cooling owr approach T wo - T wb 7 C - C 7 C Mass of war 8Kg/hr Ha loss by war M w C pw (T wi - T wo Kj/hr 678 Mass of air rquird (Ma (Volum of air rquird / Spcific volum of air a inl mpraur G / Gs Ma 7 Kg / hr a Toal ara of wd surfac includs h surfac ara of war drops as wll as wd slas or ohr fill marial, m; L Now, war mass flow ra, kg/s; Δ h Valu of H w - H a a T + (T T Δ h Valu of H w - H a a T + (T T Δ h Valu of H w - H a a T - (T T Δ h Valu of H w - Ha a T - (T T KaV/L 6 Effcivnss ɛ (T -T / (T T a ɛ 8 7 Efficincy (T T / ( T T wb 6% Towr Characrisics (KaV/L : [(T T / ] x {( /Δ h + ( / Δ h + ( / Δ h + ( / Δ h }] Whr, K Mass ransfr co-fficin (Kg / hr m; V Aciv cooling volum (m ; T wi cooling owr, C; T wo cooling owr, C; h w War mpraur nring h War mpraur laving h Enhalpy of saurad air a war mpraur, kj/(kg of dry air; h a air; Enhalpy of air, kj/(kg of dry VIII CONCLUSION Thus h analysis of fluidizd bd cooling owr was don Numbrs of xprimnal runs wr conducd in h forcd draf cooling owr wih glass balls and burn clay as packing marials Diffrn variabls wr considrd for h xprimnal run In fig rprsns, h variaion of ffcivnss of inl ho war mpraur and dry bulb mpraur Th ffcivnss of wih bd owr valu is lss han and wihou bd ffcivnss valv is grar han so wih bd cooling owr is vry ffciv han wihou bd cooling owr Graphs rprsns, h variaion of fficincy of inl ho war mpraur and dry bulb mpraur Th fficincy of wih bd cooling owr valu a inl ho war mpraur of C is 6% and wihou bd fficincy a sam inl ho war mpraur is % Th ohr inl ho war mpraur rsuls gs similarly so wih bd cooling owr is vry ffciv han wihou bd cooling owr In fig rprsns, h variaion of KaV/l of inl ho war mpraur and dry bulb mpraur Th KaV/l of wih bd owr valu is grar han 7

6 Inrnaional Journal of Innovaiv Rsarch in Tchnology, Scinc & Enginring (IJIRTSE wwwioirpcom ISSN: -6, Volum, Issu Jun 8 wihou bd KaV/l valv so wih bd cooling owr is vry ffciv han wihou bd cooling owr REFERENCES Toman al, ( Facors ffcing ha ransfr bwn gas fluidizd bds and bubbling fluidizd bds" K N Sharamu and K V S Varir, Prformanc of a fluidizd bd cooling owr using bd marials of various configuraion" Exprimnal sudy of cooling owr prformanc using cramic il packing Ramkumar Ramkrishnan*, Ragupahy Arumugam Dparmn of Mchanical Enginring, Annamalai Univrsiy, Annamalai agar-68, Tamilnadu, India Rcivd Fbruary ; rcivd in rvisd form March ; accpd March Mrkl s Mhod For Dsigning Inducd Draf Cooling Towr Parin Shah Nishan Tailor,,Dparmn of Chmical Enginring, Insiu of Tchnology, Nirma Univrsiy, Ahmdabad, Gujara, INDIA Exprimnal Invsigaion Of Th Prformanc OfA Counr-Flow, Packd-Bd Mchanical Cooling TowrS V Bdkar, P Nihiarasu And K N Sharamuz Dparmn of Mchanical Enginring, Indian Insiu of Tchnology, Madras, Chnnai 6 6, India; Dparmn of Civil Enginring, Univrsiy of Wals, Swansa SA 8PP, UK; zschool of Mchanical Enginring, Univrsii Sains Malaysia, Prak Campus Branch, Tronoh 7, Malaysia Dsign And Fabricaion Of Mini Draf Cooling Towr Mahndran Mukund, Muralidharan,Addrss for Corrspondnc Ass Prof, Mchanical Enginring, Sudn, K Ramakrishnan collg of Tchnology, samayapuram,trichy,tamilnadu Dsign and Characrisaion of Fluidisd Bd Cooling Towrs A hsis submid ö Middlsx Univrsiy in parial fulfilmn of h rquirmns for h dgr of Docor of Philosophy in Mchanical Enginring Louis Mbua Egb 6 Prformanc Of Fluidizd Bd Cooling Towr By Using Aluminium/Coppr Marials ManojK, ME (Thrmal Enginring, MohanasundramT, ME, Assisan Profssor Dparmn of Mchanical Enginring 7 JJ Collg of Enginring and Tchnology, Trichy-, Tamil Nadu, India 8 Th h Inrnaional Confrnc on Fluidizaion - Nw Horizons in Fluidizaion Enginring Enginring Confrncs Inrnaional Yar 7 Th Masurmn of Thrmal Prformanc for a Fluidizd Bd H R Goshayshi Azad Univrsiy of Mashad, hamidrza7@yahoocouk Th h Inrnaional Confrnc on Fluidizaion - Nw Horizons in Fluidizaion Enginring Enginring Confrncs Inrnaional Yar 7 Th Masurmn of Thrmal Prformanc for a Fluidizd BdH R Goshayshi Azad Univrsiy of Mashad, hamidrza7@yahoocouk 8

A MATHEMATICAL MODEL FOR NATURAL COOLING OF A CUP OF TEA

A MATHEMATICAL MODEL FOR NATURAL COOLING OF A CUP OF TEA MTHEMTICL MODEL FOR NTURL COOLING OF CUP OF TE 1 Mrs.D.Kalpana, 2 Mr.S.Dhvarajan 1 Snior Lcurr, Dparmn of Chmisry, PSB Polychnic Collg, Chnnai, India. 2 ssisan Profssor, Dparmn of Mahmaics, Dr.M.G.R Educaional

More information

Microscopic Flow Characteristics Time Headway - Distribution

Microscopic Flow Characteristics Time Headway - Distribution CE57: Traffic Flow Thory Spring 20 Wk 2 Modling Hadway Disribuion Microscopic Flow Characrisics Tim Hadway - Disribuion Tim Hadway Dfiniion Tim Hadway vrsus Gap Ahmd Abdl-Rahim Civil Enginring Dparmn,

More information

UNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

UNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o

More information

A THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER

A THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER A THREE COPARTENT ATHEATICAL ODEL OF LIVER V. An N. Ch. Paabhi Ramacharyulu Faculy of ahmaics, R D collgs, Hanamonda, Warangal, India Dparmn of ahmaics, Naional Insiu of Tchnology, Warangal, India E-ail:

More information

Lecture 2: Current in RC circuit D.K.Pandey

Lecture 2: Current in RC circuit D.K.Pandey Lcur 2: urrn in circui harging of apacior hrough Rsisr L us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R and a ky K in sris. Whn h ky K is swichd on, h charging

More information

On the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument

On the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument Inrnaional Rsarch Journal of Applid Basic Scincs 03 Aailabl onlin a wwwirjabscom ISSN 5-838X / Vol 4 (): 47-433 Scinc Eplorr Publicaions On h Driais of Bssl Modifid Bssl Funcions wih Rspc o h Ordr h Argumn

More information

Modelling of three dimensional liquid steel flow in continuous casting process

Modelling of three dimensional liquid steel flow in continuous casting process AMME 2003 12h Modlling of hr dimnsional liquid sl flow in coninuous casing procss M. Jani, H. Dyja, G. Banasz, S. Brsi Insiu of Modlling and Auomaion of Plasic Woring Procsss, Faculy of Marial procssing

More information

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b 4. Th Uniform Disribuion Df n: A c.r.v. has a coninuous uniform disribuion on [a, b] whn is pdf is f x a x b b a Also, b + a b a µ E and V Ex4. Suppos, h lvl of unblivabiliy a any poin in a Transformrs

More information

An Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT

An Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT [Typ x] [Typ x] [Typ x] ISSN : 974-7435 Volum 1 Issu 24 BioTchnology 214 An Indian Journal FULL PAPE BTAIJ, 1(24), 214 [15197-1521] A sag-srucurd modl of a singl-spcis wih dnsiy-dpndn and birh pulss LI

More information

Institute of Actuaries of India

Institute of Actuaries of India Insiu of Acuaris of India ubjc CT3 Probabiliy and Mahmaical aisics Novmbr Examinaions INDICATIVE OLUTION Pag of IAI CT3 Novmbr ol. a sampl man = 35 sampl sandard dviaion = 36.6 b for = uppr bound = 35+*36.6

More information

EE 434 Lecture 22. Bipolar Device Models

EE 434 Lecture 22. Bipolar Device Models EE 434 Lcur 22 Bipolar Dvic Modls Quiz 14 Th collcor currn of a BJT was masurd o b 20mA and h bas currn masurd o b 0.1mA. Wha is h fficincy of injcion of lcrons coming from h mir o h collcor? 1 And h numbr

More information

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -

More information

Spring 2006 Process Dynamics, Operations, and Control Lesson 2: Mathematics Review

Spring 2006 Process Dynamics, Operations, and Control Lesson 2: Mathematics Review Spring 6 Procss Dynamics, Opraions, and Conrol.45 Lsson : Mahmaics Rviw. conx and dircion Imagin a sysm ha varis in im; w migh plo is oupu vs. im. A plo migh imply an quaion, and h quaion is usually an

More information

On the Speed of Heat Wave. Mihály Makai

On the Speed of Heat Wave. Mihály Makai On h Spd of Ha Wa Mihály Maai maai@ra.bm.hu Conns Formulaion of h problm: infini spd? Local hrmal qulibrium (LTE hypohsis Balanc quaion Phnomnological balanc Spd of ha wa Applicaion in plasma ranspor 1.

More information

Ma/CS 6a Class 15: Flows and Bipartite Graphs

Ma/CS 6a Class 15: Flows and Bipartite Graphs //206 Ma/CS 6a Cla : Flow and Bipari Graph By Adam Shffr Rmindr: Flow Nwork A flow nwork i a digraph G = V, E, oghr wih a ourc vrx V, a ink vrx V, and a capaciy funcion c: E N. Capaciy Sourc 7 a b c d

More information

General Article Application of differential equation in L-R and C-R circuit analysis by classical method. Abstract

General Article Application of differential equation in L-R and C-R circuit analysis by classical method. Abstract Applicaion of Diffrnial... Gnral Aricl Applicaion of diffrnial uaion in - and C- circui analysis by classical mhod. ajndra Prasad gmi curr, Dparmn of Mahmaics, P.N. Campus, Pokhara Email: rajndraprasadrgmi@yahoo.com

More information

CPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees

CPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees CPSC 211 Daa Srucurs & Implmnaions (c) Txas A&M Univrsiy [ 259] B-Trs Th AVL r and rd-black r allowd som variaion in h lnghs of h diffrn roo-o-laf pahs. An alrnaiv ida is o mak sur ha all roo-o-laf pahs

More information

10. If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve

10. If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve 0. If p and q ar h lnghs of h prpndiculars from h origin on h angn and h normal o h curv + Mahmaics y = a, hn 4p + q = a a (C) a (D) 5a 6. Wha is h diffrnial quaion of h family of circls having hir cnrs

More information

2.1. Differential Equations and Solutions #3, 4, 17, 20, 24, 35

2.1. Differential Equations and Solutions #3, 4, 17, 20, 24, 35 MATH 5 PS # Summr 00.. Diffrnial Equaions and Soluions PS.# Show ha ()C #, 4, 7, 0, 4, 5 ( / ) is a gnral soluion of h diffrnial quaion. Us a compur or calculaor o skch h soluions for h givn valus of h

More information

Experimental and Computer Aided Study of Anisotropic Behavior of Material to Reduce the Metal Forming Defects

Experimental and Computer Aided Study of Anisotropic Behavior of Material to Reduce the Metal Forming Defects ISSN 2395-1621 Exprimnal and Compur Aidd Sudy of Anisoropic Bhavior of Marial o Rduc h Mal Forming Dfcs #1 Tausif N. Momin, #2 Vishal B.Bhagwa 1 ausifnmomin@gmail.com 2 bhagwavb@gmail.com #12 Mchanical

More information

4.3 Design of Sections for Flexure (Part II)

4.3 Design of Sections for Flexure (Part II) Prsrssd Concr Srucurs Dr. Amlan K Sngupa and Prof. Dvdas Mnon 4. Dsign of Scions for Flxur (Par II) This scion covrs h following opics Final Dsign for Typ Mmrs Th sps for Typ 1 mmrs ar xplaind in Scion

More information

MEM 355 Performance Enhancement of Dynamical Systems A First Control Problem - Cruise Control

MEM 355 Performance Enhancement of Dynamical Systems A First Control Problem - Cruise Control MEM 355 Prformanc Enhancmn of Dynamical Sysms A Firs Conrol Problm - Cruis Conrol Harry G. Kwany Darmn of Mchanical Enginring & Mchanics Drxl Univrsiy Cruis Conrol ( ) mv = F mg sinθ cv v +.2v= u 9.8θ

More information

a dt a dt a dt dt If 1, then the poles in the transfer function are complex conjugates. Let s look at f t H t f s / s. So, for a 2 nd order system:

a dt a dt a dt dt If 1, then the poles in the transfer function are complex conjugates. Let s look at f t H t f s / s. So, for a 2 nd order system: Undrdamd Sysms Undrdamd Sysms nd Ordr Sysms Ouu modld wih a nd ordr ODE: d y dy a a1 a0 y b f If a 0 0, hn: whr: a d y a1 dy b d y dy y f y f a a a 0 0 0 is h naural riod of oscillaion. is h daming facor.

More information

UNSTEADY FLOW OF A FLUID PARTICLE SUSPENSION BETWEEN TWO PARALLEL PLATES SUDDENLY SET IN MOTION WITH SAME SPEED

UNSTEADY FLOW OF A FLUID PARTICLE SUSPENSION BETWEEN TWO PARALLEL PLATES SUDDENLY SET IN MOTION WITH SAME SPEED 006-0 Asian Rsarch Publishing work (ARP). All righs rsrvd. USTEADY FLOW OF A FLUID PARTICLE SUSPESIO BETWEE TWO PARALLEL PLATES SUDDELY SET I MOTIO WITH SAME SPEED M. suniha, B. Shankr and G. Shanha 3

More information

Control System Engineering (EE301T) Assignment: 2

Control System Engineering (EE301T) Assignment: 2 Conrol Sysm Enginring (EE0T) Assignmn: PART-A (Tim Domain Analysis: Transin Rspons Analysis). Oain h rspons of a uniy fdack sysm whos opn-loop ransfr funcion is (s) s ( s 4) for a uni sp inpu and also

More information

Voltage v(z) ~ E(z)D. We can actually get to this wave behavior by using circuit theory, w/o going into details of the EM fields!

Voltage v(z) ~ E(z)D. We can actually get to this wave behavior by using circuit theory, w/o going into details of the EM fields! Considr a pair of wirs idal wirs ngh >, say, infinily long olag along a cabl can vary! D olag v( E(D W can acually g o his wav bhavior by using circui hory, w/o going ino dails of h EM filds! Thr

More information

ERROR ANALYSIS A.J. Pintar and D. Caspary Department of Chemical Engineering Michigan Technological University Houghton, MI September, 2012

ERROR ANALYSIS A.J. Pintar and D. Caspary Department of Chemical Engineering Michigan Technological University Houghton, MI September, 2012 ERROR AALYSIS AJ Pinar and D Caspary Dparmn of Chmical Enginring Michigan Tchnological Univrsiy Houghon, MI 4993 Spmbr, 0 OVERVIEW Exprimnaion involvs h masurmn of raw daa in h laboraory or fild I is assumd

More information

Chemistry 988 Part 1

Chemistry 988 Part 1 Chmisry 988 Par 1 Radiaion Dcion & Masurmn Dp. of Chmisry --- Michigan Sa Univ. aional Suprconducing Cycloron Lab DJMorrissy Spring/2oo9 Cours informaion can b found on h wbsi: hp://www.chmisry.msu.du/courss/cm988uclar/indx.hml

More information

Midterm Examination (100 pts)

Midterm Examination (100 pts) Econ 509 Spring 2012 S.L. Parn Midrm Examinaion (100 ps) Par I. 30 poins 1. Dfin h Law of Diminishing Rurns (5 ps.) Incrasing on inpu, call i inpu x, holding all ohr inpus fixd, on vnuall runs ino h siuaion

More information

Modeling and Experimental Investigation on the Internal Leakage in a CO2 Rotary Vane Expander

Modeling and Experimental Investigation on the Internal Leakage in a CO2 Rotary Vane Expander urdu Univrsiy urdu -ubs Inrnaional Comprssor Enginring Confrnc School of chanical Enginring 2008 odling and Exprimnal Invsigaion on h Inrnal Lakag in a CO2 Roary Van Expandr Bingchun Yang Xi an Jiaoong

More information

Elementary Differential Equations and Boundary Value Problems

Elementary Differential Equations and Boundary Value Problems Elmnar Diffrnial Equaions and Boundar Valu Problms Boc. & DiPrima 9 h Ediion Chapr : Firs Ordr Diffrnial Equaions 00600 คณ ตศาสตร ว ศวกรรม สาขาว ชาว ศวกรรมคอมพ วเตอร ป การศ กษา /55 ผศ.ดร.อร ญญา ผศ.ดร.สมศ

More information

5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t

5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t AP CALCULUS FINAL UNIT WORKSHEETS ACCELERATION, VELOCTIY AND POSITION In problms -, drmin h posiion funcion, (), from h givn informaion.. v (), () = 5. v ()5, () = b g. a (), v() =, () = -. a (), v() =

More information

C From Faraday's Law, the induced voltage is, C The effect of electromagnetic induction in the coil itself is called selfinduction.

C From Faraday's Law, the induced voltage is, C The effect of electromagnetic induction in the coil itself is called selfinduction. Inducors and Inducanc C For inducors, v() is proporional o h ra of chang of i(). Inducanc (con d) C Th proporionaliy consan is h inducanc, L, wih unis of Hnris. 1 Hnry = 1 Wb / A or 1 V sc / A. C L dpnds

More information

Discussion 06 Solutions

Discussion 06 Solutions STAT Discussion Soluions Spring 8. Th wigh of fish in La Paradis follows a normal disribuion wih man of 8. lbs and sandard dviaion of. lbs. a) Wha proporion of fish ar bwn 9 lbs and lbs? æ 9-8. - 8. P

More information

Boyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors

Boyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors Boc/DiPrima 9 h d, Ch.: Linar Equaions; Mhod of Ingraing Facors Elmnar Diffrnial Equaions and Boundar Valu Problms, 9 h diion, b William E. Boc and Richard C. DiPrima, 009 b John Wil & Sons, Inc. A linar

More information

Single Electron Devices for Logic Applications

Single Electron Devices for Logic Applications Sinl Elcron Dvics for Loic Applicaions Rza M. Rad UMB Basd on pas 45-441 441 of Nanolcronics and Informaion Tchnoloy,, Rainr Wasr Inroducion Scalin down MOSFETs has bn fundamnal in improvin h prformanc

More information

4. Which of the following organs develops first?

4. Which of the following organs develops first? Biology 4. Which of h following organs dvlops firs? (A) Livr (C) Kidny (B) Har (D) Noochord 12. During mbryonic priod, animals rpa mbryonic sags of hir ancsors. This law is calld (A) Flokin s law (B) Biognic

More information

CSE 245: Computer Aided Circuit Simulation and Verification

CSE 245: Computer Aided Circuit Simulation and Verification CSE 45: Compur Aidd Circui Simulaion and Vrificaion Fall 4, Sp 8 Lcur : Dynamic Linar Sysm Oulin Tim Domain Analysis Sa Equaions RLC Nwork Analysis by Taylor Expansion Impuls Rspons in im domain Frquncy

More information

Reliability Analysis of a Bridge and Parallel Series Networks with Critical and Non- Critical Human Errors: A Block Diagram Approach.

Reliability Analysis of a Bridge and Parallel Series Networks with Critical and Non- Critical Human Errors: A Block Diagram Approach. Inrnaional Journal of Compuaional Sin and Mahmais. ISSN 97-3189 Volum 3, Numr 3 11, pp. 351-3 Inrnaional Rsarh Puliaion Hous hp://www.irphous.om Rliailiy Analysis of a Bridg and Paralll Sris Nworks wih

More information

Applied Statistics and Probability for Engineers, 6 th edition October 17, 2016

Applied Statistics and Probability for Engineers, 6 th edition October 17, 2016 Applid Saisics and robabiliy for Enginrs, 6 h diion Ocobr 7, 6 CHATER Scion - -. a d. 679.. b. d. 88 c d d d. 987 d. 98 f d.. Thn, = ln. =. g d.. Thn, = ln.9 =.. -7. a., by symmry. b.. d...6. 7.. c...

More information

AR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 )

AR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 ) AR() Procss Th firs-ordr auorgrssiv procss, AR() is whr is WN(0, σ ) Condiional Man and Varianc of AR() Condiional man: Condiional varianc: ) ( ) ( Ω Ω E E ) var( ) ) ( var( ) var( σ Ω Ω Ω Ω E Auocovarianc

More information

Charging of capacitor through inductor and resistor

Charging of capacitor through inductor and resistor cur 4&: R circui harging of capacior hrough inducor and rsisor us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R, an inducor of inducanc and a y K in sris.

More information

Advanced Queueing Theory. M/G/1 Queueing Systems

Advanced Queueing Theory. M/G/1 Queueing Systems Advand Quung Thory Ths slds ar rad by Dr. Yh Huang of Gorg Mason Unvrsy. Sudns rgsrd n Dr. Huang's ourss a GMU an ma a sngl mahn-radabl opy and prn a sngl opy of ah sld for hr own rfrn, so long as ah sld

More information

Final Exam : Solutions

Final Exam : Solutions Comp : Algorihm and Daa Srucur Final Exam : Soluion. Rcuriv Algorihm. (a) To bgin ind h mdian o {x, x,... x n }. Sinc vry numbr xcp on in h inrval [0, n] appar xacly onc in h li, w hav ha h mdian mu b

More information

3(8 ) (8 x x ) 3x x (8 )

3(8 ) (8 x x ) 3x x (8 ) Scion - CHATER -. a d.. b. d.86 c d 8 d d.9997 f g 6. d. d. Thn, = ln. =. =.. d Thn, = ln.9 =.7 8 -. a d.6 6 6 6 6 8 8 8 b 9 d 6 6 6 8 c d.8 6 6 6 6 8 8 7 7 d 6 d.6 6 6 6 6 6 6 8 u u u u du.9 6 6 6 6 6

More information

7.4 QUANTUM MECHANICAL TREATMENT OF FLUCTUATIONS *

7.4 QUANTUM MECHANICAL TREATMENT OF FLUCTUATIONS * Andri Tokmakoff, MIT Dparmn of Chmisry, 5/19/5 7-11 7.4 QUANTUM MECANICAL TREATMENT OF FLUCTUATIONS * Inroducion and Prviw Now h origin of frquncy flucuaions is inracions of our molcul (or mor approprialy

More information

Routing in Delay Tolerant Networks

Routing in Delay Tolerant Networks Rouing in Dlay Tolran Nworks Primary Rfrnc: S. Jain K. Fall and R. Para Rouing in a Dlay Tolran Nwork SIGCOMM 04 Aug. 30-Sp. 3 2004 Porland Orgon USA Sudn lcur by: Soshan Bali (748214) mail : sbali@ic.ku.du

More information

Lecture 1: Growth and decay of current in RL circuit. Growth of current in LR Circuit. D.K.Pandey

Lecture 1: Growth and decay of current in RL circuit. Growth of current in LR Circuit. D.K.Pandey cur : Growh and dcay of currn in circui Growh of currn in Circui us considr an inducor of slf inducanc is conncd o a DC sourc of.m.f. E hrough a rsisr of rsisanc and a ky K in sris. Whn h ky K is swichd

More information

Midterm exam 2, April 7, 2009 (solutions)

Midterm exam 2, April 7, 2009 (solutions) Univrsiy of Pnnsylvania Dparmn of Mahmaics Mah 26 Honors Calculus II Spring Smsr 29 Prof Grassi, TA Ashr Aul Midrm xam 2, April 7, 29 (soluions) 1 Wri a basis for h spac of pairs (u, v) of smooh funcions

More information

Economics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison

Economics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison Economics 302 (Sc. 001) Inrmdia Macroconomic Thory and Policy (Spring 2011) 3/28/2012 Insrucor: Prof. Mnzi Chinn Insrucor: Prof. Mnzi Chinn UW Madison 16 1 Consumpion Th Vry Forsighd dconsumr A vry forsighd

More information

Electrical Conductivity Measurement of Oxides Melts

Electrical Conductivity Measurement of Oxides Melts Inrnaional Scinific Colloquium Modlling for Marial rocssing Riga Jun 8-9 2006 lcrical Conduciviy Masurmn of Oxids Mls I. ozniak A. chnkov A. Shaunov Absrac Nowihsanding on variy of xising procsss of ucion

More information

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is 39 Anohr quival dfiniion of h Fri vlociy is pf vf (6.4) If h rgy is a quadraic funcion of k H k L, hs wo dfiniions ar idical. If is NOT a quadraic funcion of k (which could happ as will b discussd in h

More information

PRELIMINARY DEFINITIONS AND RELATIONS

PRELIMINARY DEFINITIONS AND RELATIONS Prliinary Dfiniions and Rlaions 1 CHAPTER 2 PRELIMINARY DEFINITIONS AND RELATIONS يتكون حجم معيه مه التربة مه حبيبات صلببة هولواو هملاو اميلاي جوفيللة أه ميللاي (.للصدر همقلل ) ال للو فللي التربللة وللو

More information

Transfer function and the Laplace transformation

Transfer function and the Laplace transformation Lab No PH-35 Porland Sa Univriy A. La Roa Tranfr funcion and h Laplac ranformaion. INTRODUTION. THE LAPLAE TRANSFORMATION L 3. TRANSFER FUNTIONS 4. ELETRIAL SYSTEMS Analyi of h hr baic paiv lmn R, and

More information

XV Exponential and Logarithmic Functions

XV Exponential and Logarithmic Functions MATHEMATICS 0-0-RE Dirnial Calculus Marin Huard Winr 08 XV Eponnial and Logarihmic Funcions. Skch h graph o h givn uncions and sa h domain and rang. d) ) ) log. Whn Sarah was born, hr parns placd $000

More information

Computational prediction of high ZT of n-type Mg 3 Sb 2 - based compounds with isotropic thermoelectric conduction performance

Computational prediction of high ZT of n-type Mg 3 Sb 2 - based compounds with isotropic thermoelectric conduction performance Elcronic Supplnary Marial (ES for Physical Chisry Chical Physics. This journal is h Ownr Sociis 08 Supporing nforaion Copuaional prdicion of high ZT of n-yp Mg 3 Sb - basd copounds wih isoropic hrolcric

More information

LaPlace Transform in Circuit Analysis

LaPlace Transform in Circuit Analysis LaPlac Tranform in Circui Analyi Obciv: Calcula h Laplac ranform of common funcion uing h dfiniion and h Laplac ranform abl Laplac-ranform a circui, including componn wih non-zro iniial condiion. Analyz

More information

EXERCISE - 01 CHECK YOUR GRASP

EXERCISE - 01 CHECK YOUR GRASP DIFFERENTIAL EQUATION EXERCISE - CHECK YOUR GRASP 7. m hn D() m m, D () m m. hn givn D () m m D D D + m m m m m m + m m m m + ( m ) (m ) (m ) (m + ) m,, Hnc numbr of valus of mn will b. n ( ) + c sinc

More information

Logistic equation of Human population growth (generalization to the case of reactive environment).

Logistic equation of Human population growth (generalization to the case of reactive environment). Logisic quaion of Human populaion growh gnralizaion o h cas of raciv nvironmn. Srg V. Ershkov Insiu for Tim aur Exploraions M.V. Lomonosov's Moscow Sa Univrsi Lninski gor - Moscow 999 ussia -mail: srgj-rshkov@andx.ru

More information

Wave Equation (2 Week)

Wave Equation (2 Week) Rfrnc Wav quaion ( Wk 6.5 Tim-armonic filds 7. Ovrviw 7. Plan Wavs in Losslss Mdia 7.3 Plan Wavs in Loss Mdia 7.5 Flow of lcromagnic Powr and h Poning Vcor 7.6 Normal Incidnc of Plan Wavs a Plan Boundaris

More information

SOLUTIONS. 1. Consider two continuous random variables X and Y with joint p.d.f. f ( x, y ) = = = 15. Stepanov Dalpiaz

SOLUTIONS. 1. Consider two continuous random variables X and Y with joint p.d.f. f ( x, y ) = = = 15. Stepanov Dalpiaz STAT UIUC Pracic Problms #7 SOLUTIONS Spanov Dalpiaz Th following ar a numbr of pracic problms ha ma b hlpful for compling h homwor, and will lil b vr usful for suding for ams.. Considr wo coninuous random

More information

H is equal to the surface current J S

H is equal to the surface current J S Chapr 6 Rflcion and Transmission of Wavs 6.1 Boundary Condiions A h boundary of wo diffrn mdium, lcromagnic fild hav o saisfy physical condiion, which is drmind by Maxwll s quaion. This is h boundary condiion

More information

Let s look again at the first order linear differential equation we are attempting to solve, in its standard form:

Let s look again at the first order linear differential equation we are attempting to solve, in its standard form: Th Ingraing Facor Mhod In h prvious xampls of simpl firs ordr ODEs, w found h soluions by algbraically spara h dpndn variabl- and h indpndn variabl- rms, and wri h wo sids of a givn quaion as drivaivs,

More information

A Condition for Stability in an SIR Age Structured Disease Model with Decreasing Survival Rate

A Condition for Stability in an SIR Age Structured Disease Model with Decreasing Survival Rate A Condiion for abiliy in an I Ag rucurd Disas Modl wih Dcrasing urvival a A.K. upriana, Edy owono Dparmn of Mahmaics, Univrsias Padjadjaran, km Bandung-umng 45363, Indonsia fax: 6--7794696, mail: asupria@yahoo.com.au;

More information

The finite element models of thin-walled branched structures in heat transfer problems

The finite element models of thin-walled branched structures in heat transfer problems 03 ISSN 39-07. ECHANIKA. 0 olum 8(): 03-08 h fini lmn modls of hin-walld branchd srucurs in ha ransfr problms S. urskinė Šiauliai Univrsiy 9 išinskio g. 7756 Šiauliai Lihuania E-mail: Sigia@fm.su.l hp://dx.doi.org/0.5755/j0.mch.8..56.

More information

Section. Problem Representation. Substation. Protection Device. protection equipments. Substation. Client. EPDS divided in blocks connected by

Section. Problem Representation. Substation. Protection Device. protection equipments. Substation. Client. EPDS divided in blocks connected by HIERARCHICAL MULTIPLE CRITERIA OPTIMIZATION OF MAINTENANCE ACTIVITIES ON POWER DISTRIBUTION NETWORKS Problm Rprsaion EPDS comprising: Subsaions, primary nworks, scondary, nworks; Fdrs (cabls, lins, pols,

More information

Boyce/DiPrima 9 th ed, Ch 7.8: Repeated Eigenvalues

Boyce/DiPrima 9 th ed, Ch 7.8: Repeated Eigenvalues Boy/DiPrima 9 h d Ch 7.8: Rpad Eignvalus Elmnary Diffrnial Equaions and Boundary Valu Problms 9 h diion by William E. Boy and Rihard C. DiPrima 9 by John Wily & Sons In. W onsidr again a homognous sysm

More information

The Science of Monetary Policy

The Science of Monetary Policy Th Scinc of Monary Policy. Inroducion o Topics of Sminar. Rviw: IS-LM, AD-AS wih an applicaion o currn monary policy in Japan 3. Monary Policy Sragy: Inrs Ra Ruls and Inflaion Targing (Svnsson EER) 4.

More information

Decline Curves. Exponential decline (constant fractional decline) Harmonic decline, and Hyperbolic decline.

Decline Curves. Exponential decline (constant fractional decline) Harmonic decline, and Hyperbolic decline. Dlin Curvs Dlin Curvs ha lo flow ra vs. im ar h mos ommon ools for forasing roduion and monioring wll rforman in h fild. Ths urvs uikly show by grahi mans whih wlls or filds ar roduing as xd or undr roduing.

More information

Chapter 4 Longitudinal static stability and control Effect of acceleration (Lecture 15)

Chapter 4 Longitudinal static stability and control Effect of acceleration (Lecture 15) Chapr 4 Longiudinal saic sabiliy and conrol Effc of acclraion (Lcur 15) Kywords : Elvaor rquird in pull-up; sick-fixd manuvr poin; sick forc gradin in pull-up; manuvr poin sick-fr; ovrall limis on c.g.

More information

Engine Thrust. From momentum conservation

Engine Thrust. From momentum conservation Airbrhing Propulsion -1 Airbrhing School o Arospc Enginring Propulsion Ovrviw w will b xmining numbr o irbrhing propulsion sysms rmjs, urbojs, urbons, urboprops Prormnc prmrs o compr hm, usul o din som

More information

I) Title: Rational Expectations and Adaptive Learning. II) Contents: Introduction to Adaptive Learning

I) Title: Rational Expectations and Adaptive Learning. II) Contents: Introduction to Adaptive Learning I) Til: Raional Expcaions and Adapiv Larning II) Conns: Inroducion o Adapiv Larning III) Documnaion: - Basdvan, Olivir. (2003). Larning procss and raional xpcaions: an analysis using a small macroconomic

More information

Estimation of Metal Recovery Using Exponential Distribution

Estimation of Metal Recovery Using Exponential Distribution Inrnaional rd Journal o Sinii sarh in Enginring (IJSE).irjsr.om Volum 1 Issu 1 ǁ D. 216 ǁ PP. 7-11 Esimaion o Mal ovry Using Exponnial Disribuion Hüsyin Ankara Dparmn o Mining Enginring, Eskishir Osmangazi

More information

ARTHUR STANLEY HOUSE WELCOME AND INTRODUCTION. The Site Today. Existing: G o o d g e P l a c e V i e w

ARTHUR STANLEY HOUSE WELCOME AND INTRODUCTION. The Site Today. Existing: G o o d g e P l a c e V i e w WELCOME AND INTRODUCTION W s b ro o k P a r n r s w l c o m s y o u o i s d ro p - i n s s s i o n o v i w i s p ro p o s a l s f o r a r v i s d m i x d u s d v l o p m n f o r A r h u r S a n l y H o

More information

Elements of Statistical Thermodynamics

Elements 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 information

NEW METHOD FOR DETERMINING COOLING TIME AND PREHEATING TEMPERATURE IN ARC WELDING. Prof. Dr, University of Belgrade, High Technical School

NEW METHOD FOR DETERMINING COOLING TIME AND PREHEATING TEMPERATURE IN ARC WELDING. Prof. Dr, University of Belgrade, High Technical School NEW METHOD FOR DETERMINING COOLING TIME AND PREHEATING TEMPERATURE IN ARC WELDING Valnina M. NEJKOVIĆ 1, Miroslav S. MILIĆEVIĆ *, Zoran J. RADAKOVIĆ 3 1 Assisan, Prof. Dr, Univrsiy of Niš, Faculy of Elcronic

More information

Double Slits in Space and Time

Double Slits in Space and Time Doubl Slis in Sac an Tim Gorg Jons As has bn ror rcnly in h mia, a am l by Grhar Paulus has monsra an inrsing chniqu for ionizing argon aoms by using ulra-shor lasr ulss. Each lasr uls is ffcivly on an

More information

GUIDE FOR SUPERVISORS 1. This event runs most efficiently with two to four extra volunteers to help proctor students and grade the student

GUIDE FOR SUPERVISORS 1. This event runs most efficiently with two to four extra volunteers to help proctor students and grade the student GUIDE FOR SUPERVISORS 1. This vn uns mos fficinly wih wo o fou xa voluns o hlp poco sudns and gad h sudn scoshs. 2. EVENT PARAMETERS: Th vn supviso will povid scoshs. You will nd o bing a im, pns and pncils

More information

Exergy Analysis of Organic Rankine Cycle with Ejector Using Dry Fluids

Exergy Analysis of Organic Rankine Cycle with Ejector Using Dry Fluids Inrnaional Journal of Mining, Mallurgy & Mchanical Enginring (IJMMME) Volum 3, Issu 4 (21) ISSN 232 46 (Onlin) Exrgy Analys of Organic Rankin Cycl wih Ejcor Ung Dry Fluids Hyung Jong Ko and Kyoung Hoon

More information

COD removal from industrial wastewater using activated carbon prepared from animal horns

COD removal from industrial wastewater using activated carbon prepared from animal horns African Journal of Biochnology Vol. 7 (2), pp. 37-3, 5 Novmbr, 2008 Availabl onlin a hp://www.acadmicjournals.org/ajb ISSN 684 535 2008 Acadmic Journals Full Lngh Rsarch Papr COD rmoval from indusrial

More information

DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS. Assoc. Prof. Dr. Burak Kelleci. Spring 2018

DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS. Assoc. Prof. Dr. Burak Kelleci. Spring 2018 DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS Aoc. Prof. Dr. Burak Kllci Spring 08 OUTLINE Th Laplac Tranform Rgion of convrgnc for Laplac ranform Invr Laplac ranform Gomric valuaion

More information

Equation For non-self Energizing Gasket

Equation For non-self Energizing Gasket Jun 0 0:05: - ASMEScDiv_WNFlangDsign.sm Dsign of Wld Nck Flang as pr ASME Scion Division ar.6 Dsign ol oads STE : Dsign ondiion Dsign rssur 0. Ma Dsign Tmpraur T 80 d STE : ask Facors 'm' and Minimum Dsign

More information

Arturo R. Samana* in collaboration with Carlos Bertulani*, & FranjoKrmpotic(UNLP-Argentina) *Department of Physics Texas A&M University -Commerce 07/

Arturo R. Samana* in collaboration with Carlos Bertulani*, & FranjoKrmpotic(UNLP-Argentina) *Department of Physics Texas A&M University -Commerce 07/ Comparison of RPA-lik modls in Nurino-Nuclus Nuclus Procsss Aruro R. Samana* in collaboraion wih Carlos Brulani* & FranjoKrmpoicUNLP-Argnina *Dparmn of Physics Txas A&M Univrsiy -Commrc 07/ 0/008 Aomic

More information

EG Modeling of Direct Contact Wet Cooling Tower in ETRR-2

EG Modeling of Direct Contact Wet Cooling Tower in ETRR-2 EG0800333 Modeling of Direc Conac We Cooling Tower in ETRR-2 H.H. El Khaib, A.L. Isil, M. E. ElRefaie* Reacors Deparmen, NRC, AEA, P. No. 13759, Cairo, Egyp *Al Azhar Universiy, Cairo, Egyp ABSTRACT The

More information

Azimuthal angular correlations between heavy flavour decay electrons and charged hadrons in pp collisions at s = 2.76 TeV in ALICE

Azimuthal angular correlations between heavy flavour decay electrons and charged hadrons in pp collisions at s = 2.76 TeV in ALICE Azimuhal angular corrlaions bwn havy flavour dcay lcrons and chargd hadrons in pp collisions a s = 2.76 TV in ALICE DEEPA THOMAS FOR THE ALICE COLLABORATION INTERNATIONAL SCHOOL OF SUBNUCLEAR PHYSICS ERICE,

More information

orbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the

orbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the Lctur 22-1 Byond Bohr Modl Unfortunatly, th classical visualization of th orbiting lctron turns out to b wrong vn though it still givs us a simpl way to think of th atom. Quantum Mchanics is ndd to truly

More information

Review Lecture 5. The source-free R-C/R-L circuit Step response of an RC/RL circuit. The time constant = RC The final capacitor voltage v( )

Review Lecture 5. The source-free R-C/R-L circuit Step response of an RC/RL circuit. The time constant = RC The final capacitor voltage v( ) Rviw Lcur 5 Firs-ordr circui Th sourc-fr R-C/R-L circui Sp rspons of an RC/RL circui v( ) v( ) [ v( 0) v( )] 0 Th i consan = RC Th final capacior volag v() Th iniial capacior volag v( 0 ) Volag/currn-division

More information

A Simple Procedure to Calculate the Control Limit of Z Chart

A Simple Procedure to Calculate the Control Limit of Z Chart Inrnaional Journal of Saisics and Applicaions 214, 4(6): 276-282 DOI: 1.5923/j.saisics.21446.4 A Simpl Procdur o Calcula h Conrol Limi of Z Char R. C. Loni 1, N. A. S. Sampaio 2, J. W. J. Silva 2,3,*,

More information

Machine Detector Interface Workshop: ILC-SLAC, January 6-8, 2005.

Machine 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 information

Circuit Transients time

Circuit Transients time Circui Tranin A Solp 3/29/0, 9/29/04. Inroducion Tranin: A ranin i a raniion from on a o anohr. If h volag and currn in a circui do no chang wih im, w call ha a "ady a". In fac, a long a h volag and currn

More information

A new cast-resin transformer thermal model based on recurrent neural networks

A new cast-resin transformer thermal model based on recurrent neural networks AHIVES OF ELETIAL ENGINEEING VOL. 66(), pp. 7-28 (207) DOI 0.55/a-207-0002 A n cas-rsin ransformr hrmal modl basd on rcurrn nural nors DAVOOD AZIZIAN, MEHDI BIGDELI 2 Dparmn of Elcrical Enginring, Abhar

More information

Seebeck and Peltier Effects

Seebeck 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 information

whereby we can express the phase by any one of the formulas cos ( 3 whereby we can express the phase by any one of the formulas

whereby we can express the phase by any one of the formulas cos ( 3 whereby we can express the phase by any one of the formulas Third In-Class Exam Soluions Mah 6, Profssor David Lvrmor Tusday, 5 April 07 [0] Th vrical displacmn of an unforcd mass on a spring is givn by h 5 3 cos 3 sin a [] Is his sysm undampd, undr dampd, criically

More information

WEIBULL FUZZY PROBABILITY DISTRIBUTION FOR RELIABILITY OF CONCRETE STRUCTURES

WEIBULL FUZZY PROBABILITY DISTRIBUTION FOR RELIABILITY OF CONCRETE STRUCTURES Enginring MECHANICS, Vol. 17, 2010, No. 5/6, p. 363 372 363 WEIBULL FUZZY PROBABILITY DISTRIBUTION FOR RELIABILITY OF CONCRETE STRUCTURES Zdněk Karpíšk*, Pr Šěpánk**, Pr Jurák* Basd on h fuzzy probabiliy

More information

CHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano

CHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano Expcaions: Th Basic Prpard by: Frnando Quijano and Yvonn Quijano CHAPTER CHAPTER14 2006 Prnic Hall Businss Publishing Macroconomics, 4/ Olivir Blanchard 14-1 Today s Lcur Chapr 14:Expcaions: Th Basic Th

More information

Transient Performance Analysis of Serial Production Lines

Transient Performance Analysis of Serial Production Lines Univrsiy of Wisconsin Milwauk UWM Digial Commons Thss and Dissraions Augus 25 Transin Prformanc Analysis of Srial Producion Lins Yang Sun Univrsiy of Wisconsin-Milwauk Follow his and addiional works a:

More information

Impulsive Differential Equations. by using the Euler Method

Impulsive Differential Equations. by using the Euler Method Applid Mahmaical Scincs Vol. 4 1 no. 65 19 - Impulsiv Diffrnial Equaions by using h Eulr Mhod Nor Shamsidah B Amir Hamzah 1 Musafa bin Mama J. Kaviumar L Siaw Chong 4 and Noor ani B Ahmad 5 1 5 Dparmn

More information

A HAMILTON-JACOBI TREATMENT OF DISSIPATIVE SYSTEMS

A HAMILTON-JACOBI TREATMENT OF DISSIPATIVE SYSTEMS Europan Scinific Journal Ocobr 13 diion vol9, No3 ISSN: 1857 7881 (Prin) - ISSN 1857-7431 A AMILTON-JACOBI TREATMENT OF DISSIPATIVE SYSTEMS Ola A Jarab'ah Tafila Tchnical Univrsiy, Tafila, Jordan Khald

More information

14.02 Principles of Macroeconomics Problem Set 5 Fall 2005

14.02 Principles of Macroeconomics Problem Set 5 Fall 2005 40 Principls of Macroconomics Problm S 5 Fall 005 Posd: Wdnsday, Novmbr 6, 005 Du: Wdnsday, Novmbr 3, 005 Plas wri your nam AND your TA s nam on your problm s Thanks! Exrcis I Tru/Fals? Explain Dpnding

More information