Iteratoal Joural of Scece ad echology http://.ejouralofcece.org Eergy ad Exergy Aaly for Sgle ad Parallel Flo Double Effect Water-Lthu Brode Vapor Aborpto Syte A.I.Shahata, M. M. Aboelaz, A. F. Elafty Mechacal Egeerg Departet, Arab Acadey for Scece, echology, Alexadra, Egypt ABSRAC he prce of eergy have bee creag expoetally orldde ad dutral refrgerato oe of the ot eergy coug ector. Aborpto refrgerato yte are a alteratve to vapor copreo yte due to the creae of the evroetal proble ad electrcty cot. I recet year, reearch ha bee creaed to prove the perforace of the aborpto yte ad the a ay of provg effcecy through therodyac aaly ad optzato. Eergy ad exergy aaly of gle ad double effect yte preeted. he effect of dfferet copoet teperature o the COP ad exergetc effcecy calculated. he reult hoed that the axu COP ad exergetc effcecy acheved at loer value of the geerator& the aborber teperature for both yte. he aborber teperature ha the hghet effect o the COP ad eergetc effcecy for both yte hch ho that the aborber the copoet that eed the proveet deg. Keyord: Aborpto, heral aaly, Exergy, COP, Aborber 1. INRODUCION Vapor aborpto yte ug ater a the refrgerat ad the lthu-brode a the aborbet repreet the plet dea aborpto refrgerato techology ad are aug greater portace due to ther evroetally fredly operato. he cot of thee yte depedet o hether they are gle effect or double effect. h tur deped o the applcato ad the ource of heat avalable. [1]. I recet year, teret aborpto yte ha bee grog becaue they ue fredly refrgerat ad aborbet hch do t deplete the ozoe layer. hey ue cheap alteratve eergy ource, uch olar eergy or a ate byproduct heat ource helpg cotrol of global arg. herefore, recet year, reearch ha bee creaed to prove the perforace of the aborpto refrgerato yte. he a ay of provg effcecy through therodyac aaly ad optzato. [2] I perforg a therodyac aaly for a vapor aborpto cycle, the prcple of a coervato ad the frt ad ecod la of therodyac are appled to dvdual copoet of the yte. Frt ad ecod la aalye of aborpto yte for coolg ad heatg applcato a alo gve by [3]. he eergy aaly approach of lted ue ve of the fact that t fal to detere the real loe a refrgerato yte. he A.I.Shahata, M. M. Aboelaz, A. F. Elafty aaly a ovel approach baed o the ecod la of therodyac hch at evaluato of rreverblty occurrg the yte at local ad global level. Varou tude vetgated the perforace aaly of aborpto refrgerato yte ug the eergy aaly ethod baed o the frt la of therodyac by ea of the coeffcet of perforace (COP). [4] A odular coputer code deg a utlzed to ulate the aborpto yte ad vetgated the perforace of gle-effect cycle ad varou cofgurato of double-effect aborpto refrgerato cycle ug LBr/H2O par. [5] A teady tate coputer ulato odel a developed to predct the perforace of a ARS ug LBr/H2O a a orkg par. [6] Exergy aalye have bee ade for aborpto yte by dfferet author. A coputer progra a developed to predct the perforace of a aborpto refrgerato ut.[7] A gle-tage refrgerato yte operatg th the ater/lthu brode xture optzed by akg ethalpy ad etropy balace each oe of the copoet of the yte. A exergy aaly of double effect lthu brode/ater aborpto refrgerato yte a theoretcally preeted. [8] he exergy aaly carred out for each copoet of the yte. he reult hoed that the hghet exergy lo occur the HPG, hch therefore ake the HPG the ot portat copoet of the double effect refrgerato yte. he frt ad ecod la of therodyac a ued to aalyze the perforace of a gle-tage ater/ lthu brode aborpto refrgerato yte. [4] 85
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org he objectve of th tudy to develop a therodyac odel cludg eergy ad exergy aalye for both gle ad parallel flo-double effect yte vapor aborpto yte order to detere hch copoet ha the great effect o the perforace of the yte. 2. MODEL DESCRIPION For therodyac aaly of the aborpto yte, the prcple of a coervato, frt ad ecod la of therodyac are appled to each copoet of the yte. Each copoet ca be treated a a cotrol volue th let ad outlet trea, heat trafer ad ork teracto. I the yte, a coervato clude the a balace of the total a ad each ateral pece (e.g. refrgerat ad aborbet a aborpto cycle). he goverg equato of a ad type of ateral coervato for a teady tate ad teady flo yte are gve equato (1&2) [7]: Ma Coervato: Fgure (1) gle effect aborpto cycle ( ) - ( ) (1) Spece Coervato: (.) - (.) (2) out Where () the a flo rate ad () the a fracto of L-Br the oluto ad the ubcrpt ad out are let ad outlet flo the cotrol volue. he odel olve the goverg equato for the yte copoet ad corporate the checal ad therodyac properte of the ater/lthu brode oluto. Sgle ad double-effect yte cofgurato are ho fgure 1 ad 2. out Fgure (2) parallel flo double effect aborpto cycle 2.1 Frt La Aaly (Eergy ethod) he frt la of therodyac readly yeld the eergy balace of each copoet of the aborpto yte a follo (Coervato of eergy): 86
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org ( h) - ( h) + [ Q - Q ] W (3) out + out Where the Q' are the heat trafer rate betee the cotrol volue ad t evroet, h the pecfc ethalpy ad W the echacal ork trafer to or fro the yte. he heat balace over each copoet of the yte gve the aout of the heat trafer to or fro the copoet. Equato (4) to (9) repreet the heat trafer for evaporator, codeer, aborber, geerator, pup ad the heat exchager repectvely. So ethalpy data ut be avalable for the orkg par at all tate pot the cycle. he ethalpe of the lthu brode oluto at the dfferet pot of the yte are obtaed (kj Kg-1) ug the equato of the lthu brode ethalpy-cocetrato dagra tade th the equato of the preure-teperature equlbru chart. [9] 4 4 4 2 + t B + t h A C (1) Where t the lthu brode oluto teperature oc ad the cocetrato % L-Br. Equato (1) could be ued for the cocetrato rage 4<<7% L-Br ad eperature rage 15<t<165 oc. he ethalpe of both ater vapor ad lqud for flo ad out of the codeer ad evaporator ca be detered by ug equato (11) ad (12) repectvely here t the teperature of ater. [1] h h 251+ Cp. f f cp. (11) (12) I order to perfor the theral calculato o the vapor aborpto yte, pecfc heat ut be calculated for the lthu brode oluto at dfferet pot of the yte. he pecfc heat of the aterlthu brode oluto ere detered ug the eprcal forula gve by equato (13). [11] Cp A 6 6 + t B 6 2 + t C. (13) Equato (14) ad (15) could be ued to calculate the refrgerat ad aborbet teperature. [12] he a flo rate of the eak ad trog aqueou L-Br oluto ca be foud by applyg the a balace o the aborber a ho equato (16-18). ref * + ref (16) (17) (18) Frt la aaly of the aborpto yte lead to coputg a coeffcet of perforace (COP), hch defed a the rato of the ueful eergy obtaed fro the yte the evaporator to the prary eergy put to the yte the geerator. uefuel eergy output Q COP prary eergy put Q E G (19) he oluto crculato rato a ueful paraeter he dealg th deg ue. It repreet the rato of the a flo rate of the eak lthu brode oluto ad the refrgerat a ho equato (2) CR (2) 2.2 Secod La Aaly (Exergy ethod) he ecod la at evaluatg the perforace of the yte baed o exergy, hch alay decreae og to rreverblty. Exergy aaly the cobato of the frt ad ecod la of therodyac ad ca be defed a the axu aout of ork potetal of a ateral or a eergy trea, relato to the urroudg evroet [13] Exergy balace for a cotrol volue udergog teady tate proce expreed a [3] t 3 ' 3 B + t A (14) o o ED ( ψ ) - ( ψ ) + ( Q(1- ) + ( Q(1- ) ± W (21) out out t ' 3 3 ( ) (15) t B Where t oluto teperature (º C) t' refrgerat teperature (º C) the % of L-Br-ater. A Where ED repreet the rate of exergy detructo or lo occurrg the proce for each copoet. he frt to ter o the rght had de repreet the u of the exergy put ad the u of the exergy output of the let ad outlet trea of the cotrol volue. he thrd ad fourth ter are the exergy 87
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org aocated th heat traferred Q fro the ource ataed at cotat teperature. he lat ter the echacal ork trafer to or fro the cotrol volue. h ter eglgble for aborpto yte a the oluto pup ha very lo poer requreet. By eglectg chage ketc eergy ad potetal eergy ad becaue there o departure of checal ubtace fro the cycle to the evroet, the checal exergy zero [14].he pecfc exergy or the exergy of a flud trea ca be defed a [15]: ψ ( h - h )- ( - ) o o o (22) Where Ѱ the exergy of the flud at teperature. he ter h ad are the ethalpy ad etropy of the flud, herea, ho ad o are the ethalpy ad etropy of the flud at evroetal teperature o ( all cae abolute teperature ued K). I th tudy, o a take a 298.15 K. he prcple exergy loe a proce leadg to thee loe are due to dpato (frcto), heat trafer uder teperature dfferece ad uretrcted expao. Ethalpy ad etropy of referece for LBr-H2O oluto codered: 25oC, p 11.325 kpa ad xlbr55.42% are h66.83kj/kg ad.1495kj/kgk. he rato of the exergy lo rate each copoet to the total exergy lo rate of the yte defed a o-deoal exergy lo of the copoet. he o-deoal exergy lo of each copoet rtte a follo: ED ψ ED t (23) By ug Eq. (23), the gfcace of each copoet cotrbuto to the total exergy lo of the yte ca be foud. Irreverblty ay copoet uder coderato expreed ug the follog equato: [16] I ED + EL (24) Where (EL) the theral exergy lo hch take place becaue of teperature dfferece betee the cotrol volue ad the urroudg. It deped upo ho the boudary of the yte elected. he theral exergy lo rate gve by: [17] EL Q (1 o ) (25) Where Q the heat rejected by the copoet uder coderato ad the teperature at t boudary. he ecod la effcecy of the aborpto yte eaured by the exergetc effcecy, E; hch defed a the rato of the ueful exergy gaed fro a yte to that uppled to the yte. he exergetc effcecy (ratoal effcecy) ca be calculated a the rato betee the et exergy produced by the evaporator (exergy dered output) ad the put exergy to the geerator plu the echacal ork of the oluto pup: [13] o Q (1- ) e e η ex o Q (1- ) + W g p g (26) Where r the teperature of the pace to be cooled. 2.3 heoretcal Coderato he atheatcal odel for th vetgato ha bee developed th the follog aupto: 1. he heat loe ad utetoal preure drop the ppele ad yte copoet are eglgble. 2. he procee at all throttle valve are aued to be adabatc, reultg cotat ethalpy procee. 3. Heat trafer to ad fro the urroudg to the yte eglgble. 4. Crculatg pup etropc. 5. For the double effect yte, both oluto heat exchager have ae effectvee. 6. he refrgerat tate leavg the codeer ad evaporator are aued to be aturated. 3. RESULS AND DISCUSSIONS he reult are preeted by plottg the coeffcet of perforace ad the exergetc effcecy veru the teperature for the dfferet copoet of the vapor aborpto yte. Fgure 3 ho the effect of the geerator teperature o the COP ad the exergetc effcecy for both gle ad double-effect aborpto yte. he follog paraeter are ued: [Qe425.56 kw, e1.3oc, c 35oC, ε.7ad a35oc] for gle effect yte hle [Qe425.56 kw, e1.3oc lc35oc, ε.7ad a35oc] for double effect yte. It ho that there a creae both COP ad exergetc effcecy tally for both gle ad double effect yte ad the both COP ad exergetc effcecy decreae a the geerator teperature creae. he axu COP ad exergetc effcecy for gle effect.76 ad 12.3 hle the axu COP ad exergetc effcecy for double effect yte 1.31 ad 11.48 repectvely. he parallel flo-double effect yte ha a hgher COP copared th the gle effect yte. O the other had, the parallel flo-double effect yte ha a loer exergetc effcecy copared th the gle effect yte. 88
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org Fgure (3) COP ad Exergetc Effcecy v. Geerator eperature he creae the geerator teperature reult the creae of the oluto extg the geerator, the aborber ad the codeer teperature. he lar tred of COP ad exergetc effcecy a obtaed by [5&17].he axu COP ad exergetc effcecy acheved at loer value of the geerator teperature for both gle ad double effect yte. he percet of creae the COP ad exergetc effcecy for gle effect 37% ad 23.95% hle the percet of creae the COP ad exergetc effcecy for double effect 41.4% ad 39.7%. Fgure (4) COP ad Exergetc Effcecy v. Aborber eperature lc35oc, ε.7ad g161.2oc] for double effect yte. Whe the aborber teperature creae, the geerator theral load creae th a cotat evaporator theral load, therefore the COP ad the exergetc effcecy decreae. It ho that the decreae of the aborber teperature caue gfcat creae both COP ad the exergetc effcecy of the yte. he axu COP ad exergetc effcecy for gle effect.78 ad 11.48 hle the axu COP ad exergetc effcecy for double effect yte 1.3736 ad 11.5766 repectvely. he axu COP ad exergetc effcecy acheved at loer value of the aborber teperature. he double effect yte ha hgher COP ad exergetc effcecy copared th the gle effect yte. Wth the decreae of the aborber teperature, the percet of creae the COP ad exergetc effcecy for gle effect 64.8% ad 85% hle the percet of creae the COP ad exergetc effcecy for double effect 85.1% ad 97.2% repectvely. Fgure 5 ho the effect of the evaporator teperature o the COP ad the exergetc effcecy for both gle ad double-effect aborpto yte. he follog paraeter are ued: [Qe425.56 kw, g91oc, ac 35oC, ε.7] for gle effect yte hle [Qe425.56 kw, g161.2oc, alc35oc, ε.7] for double effect yte. he creae the evaporator teperature creae the COP ad reduce the exergetc effcecy for both gle ad double effect yte. he parallel flodouble effect yte ha a hgher COP copared th the gle effect yte. O the other had, the gle effect yte ha a hgher exergetc effcecy copared th the gle effect yte. Whe the evaporator teperature creae, the aborber ad geerator theral load decreae th cotat coolg load (Qe) ad thu the COP creae. he axu COP acheved at hgher value of the evaporator teperature hle the axu exergetc effcecy acheved at loer value of the evaporator teperature for both gle ad double effect yte. Wth the creae of the evaporator teperature, the percet of creae the COP 1.6% for gle effect ad 2.4% for double effect yte. But the creae of the evaporator teperature caue a rate of decreae the exergetc effcecy 1.63 for gle effect yte ad 2.8% for double effect. Fgure 4 ho the effect of the aborber teperature o the COP ad the exergetc effcecy for both gle ad double-effect aborpto yte. he follog paraeter are ued: [Qe425.56 kw, e1.3oc, c 35oC, ε.7ad g91oc] for gle effect yte hle [Qe425.56 kw, e1.3oc 89
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org Fgure (5) COP ad Exergetc Effcecy v. Evaporator eperature Fgure 6 ho the effect of the codeer teperature o the COP ad the exergetc effcecy for both gle ad double-effect aborpto yte. he follog paraeter are ued: [Qe425.56 kw, g91oc, e 1.3oC, ε.7] for gle effect yte hle [Qe425.56 kw, g161.2oc, e1.3oc, ε.7] for double effect yte. Whe the codeer teperature creae, the geerator theral load creae th cotat evaporator theral load ad o COP ad exergetc effcecy decreae. he axu COP acheved at loer value of codeer teperature for both gle ad double effect yte. he axu COP ad exergetc effcecy for gle effect.7855 ad 11.633 hle the axu COP ad exergetc effcecy for double effect yte 1.31511 ad 12.9955 repectvely. he double effect yte ha hgher COP ad exergetc effcecy copared th the gle effect yte. Wth the decreae of the codeer teperature, the percet of creae the COP ad exergetc effcecy for gle effect 1.7% ad 2.46% hle the percet of creae the COP ad exergetc effcecy for double effect 1.31% ad 3.12% repectvely. Fgure (6) COP ad Exergetc Effcecy v. Codeer teperature Fgure 7 ho the effect of oluto heat exchager effectvee o the COP ad the exergetc effcecy for both gle ad double-effect aborpto yte. A ko, f (ε) creae, the heat exchage betee the eak ad trog oluto creae ad a a reult of th the teperature of the trog oluto decreae ad that of the eak oluto creae. It ho fro the fgure that the creae oluto heat exchager effectvee creae the COP ad the exergetc effcecy for both gle ad double-effect aborpto yte. It alo ho that the double effect yte (parallel flo) have a hgher COP copared th the gle effect yte. O the other had, the double effect yte (parallel flo) ha a loer exergetc effcecy copared th the gle effect yte. For the double effect yte, t oberved that the effectvee of oluto heat exchager 2 (ε2) ha greater effect o exergetc effcecy tha the effectvee of oluto heat exchager 1 (ε1) the rage fro (2-.7) hoever the effectvee of oluto heat exchager 1 (ε1) ha greater effect o exergetc effcecy tha the effectvee of oluto heat exchager 2 (ε2) the rage fro (.7-1). 9
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org Fgure (7) COP ad Exergetc Effcecy v. H. Exchager Effectvee Fgure 8 & 9 ho the effect of the geerator teperature o the rato of the exergy lo the dfferet copoet to the total exergy lo of the yte for both gle ad double effect yte. It foud that he the geerator teperature creae, the cocetrato of the trog oluto creae th cotat eak oluto cocetrato eterg the geerator ad o the SCR decreae. Alo he the geerator teperature creae, the teperature of the oluto returg fro the geerator to the aborber creae ad the teperature of the vapor leavg the geerator creae hch creae the rreverblty the aborber ad the codeer ad therefore the exergy lo the aborber ad the codeer creae th the creae the geerator teperature. It a ho fro the fgure that the creae the geerator teperature ha o effect o the exergy lo the evaporator ad a lttle effect o the exergy lo the oluto heat exchager. So the creae the geerator teperature caue decreae exergy lo rate of the geerator ad creae the exergy lo rate of both codeer ad aborber. he hghet exergy lo rate a foud the aborber of 63.2 % for gle effect at 11oC ad 5% for double effect yte at 18oC. Fgure (9) Exergy lo rate v. Geerator teperature for double effect yte Fgure 1 ho the effect of the aborber teperature o the rreverblty percetage of the dfferet copoet to the total rreverblty of the yte for both gle ad double effect yte. It foud that he the aborber teperature creae, the cocetrato of the eak oluto creae th cotat trog oluto cocetrato eterg the geerator ad o the SCR creae. Alo he the aborber teperature creae, the teperature of the oluto eterg the geerator creae ad the teperature of the oluto leavg the heat exchager ad eterg the aborber creae hch creae the rreverblty percetage of both the aborber ad the geerator a ho fro the fgure. It a alo ho that the creae the aborber teperature ha a lttle effect o the evaporator. he hghet rreverblty percetage a foud the aborber of 6.56 % for gle effect ad 49.4% for double effect yte. he percet of creae of rreverblty the aborber 9.9% for gle effect ad 19.8% hle the percet of creae of rreverblty the geerator 39.6% for gle effect ad 4.6% for double effect yte. Fgure (8) Exergy lo rate v. Geerator teperature for S.E yte Fgure (1) Irreverblty Percetage v. Aborber teperature for both yte 91
Iteratoal Joural of Scece ad echology http://.ejouralofcece.org Fgure 11 & 12 ho the effect of the geerator teperature o the rreverblty percetage of the dfferet copoet to the total rreverblty of the yte for both gle ad double effect yte. A etoed before he the geerator teperature creae, the COP ad the SCR creae. Alo he the geerator teperature creae, the teperature of the oluto eterg the aborber creae ad the teperature of the oluto leavg the heat exchager ad eterg the geerator creae hch creae the rreverblty both the aborber ad the geerator. It a ho fro the fgure that the creae the aborber teperature ha a lttle effect o the evaporator. he hghet rreverblty percetage a foud the aborber of 64.56 % for gle effect ad 45% for double effect yte. 27.511% for double effect yte. he ort copoet fro the vepot of the exergy lo rate the gleeffect yte the aborber folloed by the codeer, evaporator, oluto heat exchager ad the geerator. hat ho that the aborber the copoet that eed the axu proveet deg o a to reduce the exergy lo rate ad o reduce the rreverblty. Fg 13 Exergy Lo Rate v. dfferet copoet for gle ad double effect yte 4. CONCLUSIONS Fgure (11) Irreverblty Percetage v. Geerator teperature for SE effect yte Fgure (12) Irreverblty Percetage v. Geerator teperature for double effect yte Fgure 13 repreet the varato of the exergy lo rate of the dfferet copoet for the bae cae of gle ad double effect yte. A ho the fgure, the aborber ha hghet exergy lo rate aog the dfferet copoet of 49.511% for gle effect ad he axu COP ad exergetc effcecy acheved at loer value of the geerator ad aborber teperature for both gle ad double effect yte. he double effect yte ha hgher COP ad exergetc effcecy copared th the gle effect yte. he axu COP ad exergetc effcecy for gle effect.78 ad 11.48 hle the axu COP ad exergetc effcecy for double effect yte 1.3736 ad 11.5766. Wth the creae of the evaporator teperature, the percet of creae the COP 1.6% for gle effect ad 2.4% for double effect yte. But the creae of the evaporator teperature caue a rate of decreae the exergetc effcecy 1.63% for gle effect yte ad 2.8% for double effect. he creae the aborber teperature creae the rreverblty percetage of both the aborber ad the geerator. he hghet rreverblty percetage a foud the aborber of 6.56 % for gle effect ad 49.4% for double effect yte. he aborber ha hghet exergy lo rate aog the dfferet copoet of 49.511% for gle effect ad 27.511% for double effect yte hch ho that the aborber the copoet that eed the axu proveet deg o a to reduce the exergy lo rate ad o reduce the rreverblty. 92
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Iteratoal Joural of Scece ad echology Eergy ad Eergy Aaly for Sgle ad Parallel Flo Double Effect Water-Lthu Brode Vapor Aborpto Syte Noeclature http://.ejouralofcece.org ref H Q W Cp Ed I El S r M M lc Refrgerat a flo rate, kg/ Cocetrato, % Ethalpy, kj/kg Heat trafer rate, kw Pup Work, kw Specfc heat at cotat preure, kj/kg Exergy Detructo rate, kw Irreverblty at copoet I, kw heral Exergy, kw Etropy, kj/kgk eperature of pace to be cooled, o C Weak oluto a flo rate kg/ Strog oluto a flo rate, kg/ Lo codeer teperature, o C Greek Sybol Ζ ex Exergetc Effcecy, % Ψ Exergy of the flud trea, kj/kg ε Heat Exchager Effectvee No-deoal Nuber CR Soluto crculato rato 94