Thermo-Diffusion and Chemical Reaction Effects on MHD Three Dimensional Free Convective Couette Flow
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- Hilda Lee
- 6 years ago
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1 h://js...h Engining n Phsil Sins hmo-iffsion n hmil Rion Effs on H h imnsionl F oni o Flo Jgish PRAKASH * K Smnm BALAURUGAN n Sil VIJAYAKUAR VARA mn of hmis Unisi of Bosn Goon Bosn mn of hmis RVR & J ollg of Engining Anh Psh Ini mn of hmis Si Vnks Unisi Anh Psh Ini * osoning ho s -mil: kshj@moii.. Ri: Nom Ris: Ail A: Jn As In his h ffs of hmo-iffsion n hmil ion on imnsionl f onion o flo of isos inomssil n lill oning fli in h sn of nifom mgni fil n h soion nl. h ls inol il. h mgni fil is li in iion noml o h ls. h l s is sj o nss sinsoil injion loi isiion hil h l in nifom moion is sj o onsn sion n sli on oniions. h qions goning h fli flo sol sing siml ion hniq. h xssions fo skin fiion Nssl nm n Shoo nm lso i. imnsionlss loi m n onnion ofils isl ghill fo iffn ls of h ms ning ino h olm lik P R G h A S So n. h iions in skin fiion Nssl nm n Shoo nm fo iffn hsil ms sn. Kos: gni fil h nsf mss nsf hmo-iffsion hmil ion Inoion h sin of mgnohonmis H hs n onn ih gohsil n sohsil olms fo nm of s. In n s h ossiili hs isn of sing H o ff flo sm of n lill oning fli fo h os of hml oion king olsion n onol. In ms of liions mol sis on h ff of mgni fil on f onion flos h n m sl insigos [-]. h flo is lso ff h iffn in onnions on mil onsiion. In mos of h oks h ll of onnion of foign mss is ssm o lo so h h So ffs n ngl. Ho xions os hin. h So ff fo insn hs n ili fo isoo sion n in mixs n gss ih ligh moll igh H H n of mim moll igh N i. In i of h imon of his ff sl shs in [] inii f sis on So ffs king ios ss of h flo hnomn ino onsiion. h hos in [] si hml iffsion n iffsion-hmo ffs on mix f-fo oni n mss nsf on l flo ih m nn isosi. h sh in [] nlill si h H f-oni n mss-nsf flo s n infini il l moing on is on ln king ino on h hml iffsion ff hn i h on sf imlsil s moing in is on ln n ii i s nifoml l. Nmil sis fom h shs in [] o xmin h s H f onion Wlilk J Si & h : -.
2 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. n mss nsf fli flo hogh moing oos mim ih hml iffsion n iffsionhmo s smi-infini il oos l in oing ssm. hml iffsion n h gnion ffs on s omin f-fo onion n mss nsf flo s smi-infini il oos fl l m in oos mim si nmill in []. h olmi h gnion m m h x song infln on h h nsf n lso s onsqn on h fli flo. h fo n So ffs on ns H f onion n mss nsf flo s n imlsil s infini il oos fl l m in oos mim n h infln of nssl li mgni fil si nmill in []. An nlil s of H foni n mss nsf flo s moing infini il l in oing fli s sn sh in [] king h hml iffsion ff ino on. h l s ssm o moing on is on ln ih i loi. h ffs of omin on fos fom mss n hml iffsion nl onion flo foming il sf insig shs in []. h ho in [] i nmil solions of h n mss nsf ffs of n ns H f oni flo s n infini il l ih onsn sion. h ho in [] si h f onion n mss nsf flo of n inomssil isos n lill oning fli s oninosl moing infini il oos l in h sn of lg sion n n h infln of nifom mgni fil onsiing h so n hml iffsion. h olm of hml iffsion n mgni fil ffs on omin f-fo onion n mss nsf flo s il oos fl l in h sn of h gnion s si h ho in []. h olm of ol h n mss nsf nl onion fom smi-infini inlin fl l in h sn of n xnl mgni fil n innl h gnion o soion ffs s foml n si h hos in []. h l sf h ol iion of oh ll m n onnion n s ml o llo fo ossil fli ll sion o loing. Ho in oni h n mss nsf osss iffsion s n l mnosl hmil ions. h ff of hmil ion ns on hh h ion is hognos o homognos. his lso ns on hh h o n inf o s singl hs olm ion. A ion is si o of h o n if h ion is ooionl o h n h o of h onnion. In il ion is si o of h fis o if h of h ion is il ooionl o h onnion islf. In n h sn of i o is no ossil. Som foign mss m sn ih nll o mix ih h i o h ss som kin of hmil ion. h s of sh s of hmil ion osss is sfl fo imoing nm of hmil hnologis sh s foo ossing n olm oion. ss nsf ffs on moing isohml il l in h sn of hmil ion si h hos in []. Sl hos in [] si h ffs of hmil ion on ns H flo hogh n imlsil s smi-infini il l. h ffs of hmohosis n hmil ion on n ns ho mgni f onion n mss nsf flo s n imlsil s infini inlin oos l in h sn of h gnion o soion si nmill h hos in []. I s onl h ll of h honmi hml n onnion on ls s ih h insing ls of sion m. Boh h loi n m isiion ins ih h insing ls of h h gnion m h oosi ffs os in h s of Pnl nm. h onnion on l ins ih h insing ls of h hmil ion m. h shs in [] nl h ffs of hmil ion hml iion n h gnion o soion on ns f oni h n mss nsf long n infini il oos l in h sn of nss mgni fil n Hll n. Using fini lmn mho h sh in [] si h ffs of hmil ion il isosi hmohosis n h gnion/soion on on-l ho mgni flo ih h n mss nsf o h sf. Wlilk J Si & h
3 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. Ho mos of h insigos onfin hmsls o -imnsionl flos. h m siions h h flo fils ssnill -imnsionl fo xml hn iion in h sion loi isiion is nss o h onil flo. h shs in [] lo oml - imnsionl mhmil mol goning h s lmin flo of n inomssil fli sj o mgni fil inling innl hing o h Jol ff h nsf o onion n hmll in on fos. Rsls of s ss ih hmll in on mons h siliing ff of h mgni fil on h -iling flos. h hos in [] si h ff of ioi mili on h f oni flo of isos inomssil fli hogh highl oos mim. h oos mim s on n infini il oos l. h olm m h-imnsionl o mili iion. h hos in [] nl h ffs of mgni fil on h h imnsionl flo of n inomssil isos fli s oos l. A hoil nlsis of o flo of isos inomssil fli hogh oos mim n infini hoionl lll oos fl ls s sn h hos in []. h sion l n h l in nifom moion sil sj o nss sinsoil injion n nifom sion of h fli. h ffs of nss sinsoil injion loi isiion on h -imnsionl f onion o flo non-mgni s of isos inomssil fli ih nsiion ooling in h sn of h so n fis o loi sli oniions insig h shs in []. h hos in [] insig h h-imnsionl f onion flo n h nsf long il oos l ih nss sinsoil sion loi isiion. Som hos in [] nl h imnsionl o flo of isos inomssil lill oning fli n infini hoionl lll oos fl ls in h sn of nss mgni fil. I s os h h mgni m s ing fo on h min loi n s n ling fo on h oss loi of h flo fil. h sion m h ing ff on h min loi s ll s on h m fil. h Pnl nm h m n ins h of h nsf h ll. h hos in [] sn n nlsis of -imnsionl o flo n hoionl lll oos fl ls of n lill oning isos inomssil fli. h sion l s sj o nss sinsoil injion of h fli n is osoning mol onsn sion hogh h oh l in nifom moion. So ffs on H h imnsionl f onion o flo ih h n mss nsf in h sn of h soion s sn h shs in []. No nion hs n i o h olm of hmil ion n So ffs on imnsionl ho mgni f onion flos ih h n mss nsf. h ffs of hmil ion n hmo-iffsion on imnsionl f onion o flo of isos inomssil n lill oning fli in h sn of nifom mgni fil nl in his. h ls inol il. h mgni fil is li noml o h ls. h qions goning h fli flo sol sing ion hniq. imnsionlss loi m n onnion ofils nl hogh ghs fo iffn ls of ms ning ino h olm lik Pnl nm P Rnols nm R gni m Gshof nm fo h nsf G Gshof nm fo mss nsf Sli m h H soion m A Shmi nm S So nm So n hmil ion Pm. Finll h osoning iions in skin fiion Nssl nm n Shoo nm s l hih of hsil ins i n si hogh h ls. hmil fomlion h ffs of hmo-iffsion n hmil ion on imnsionl f onion o flo of isos inomssil n lill oning fli in h sn of h soion onsi in his. A nifom mgni fil is li noml o h ln of h ls. A ooin ssm ih h ls ling ill long h x ln is hosn sh h h x - xis Wlilk J Si & h
4 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. is oin long h lngh of h ls in h iion of h on fo n h - xis is nil o h ln of h ls n i ino h fli gion s shon in Fig. In h nlsis of h olm h folloing ssmions m: h hnnl is long nogh in h x - iion so h ll h fli ois ssm o innn of x x fo h ss. In mgni fil n li li fil ngl. Visos issiion n Jols issiion ngl. h l s is sj o nss sinsoil injion loi isiion of h fom: V ε os > n < ε <. H V is h nis of h injion loi is h lngh of h ioi injion loi n ε is fn m. h oh l hs nifom moion U n is sj o onsn sion V n fis o loi sli oniions. Wiho loss of gnli h isn n h ls m kn ql o h lngh of h injion loi. Ho h flo oms imnsionl o h fom of h injion loi isiion n h onsn sion h si ls s ssm o. L q i j k h loi of h fli h oin x h i j k h ni os long h x - xis - xis n - xis sil. Wlilk J Si & h
5 hmo iffsion n hmil Rion Effs on H Jgish PRAKASH l. h://js...h Wlilk J Si & h Flo g x B Fig h flo onfigion. Wih h fogoing ssmions folloing h qions goning h flo onini qion: omnm qions ρ σ υ β β B g g υ ρ B A S E
6 hmo iffsion n hmil Rion Effs on H Jgish PRAKASH l. h://js...h Wlilk J Si & h ρ σ υ ρ B Eng qion Q k ρ ρ ss nsf qion h n h omonns of imnsionl loiis long h x n iions sil. g is h lion o gi. β is h offiin of olm xnsion fo h h nsf n β is h olmi offiin of xnsion ih sis onnion. is h fli m n is h qiliim m of h fli. is h mol sis onnion of h fli n is h qiliim mol sis onnion of h fli. is h sifi h onsn ss. P is h fli ss. υ is h kinmi isosi. ρ is h fli nsi n σ is h fli lil onii. B is h mgni fil omonn long xis. k is h hml onii. Q is h imnsionlss h soion offiin. is h hmil moll iffsii. is h offiin of hml iffsii n is h hmil ion onsn. h osoning on oniions os V L U V ε h is h m of h fli h l s n is h m of h fli h l in moion. is h mol sis onnion of h fli h s l n is h mol sis onnion of h fli h l in moion. L L m m h L is h mn f h n m is xll s flion offiin.
7 hmo iffsion n hmil Rion Effs on H Jgish PRAKASH l. h://js...h Wlilk J Si & h h folloing imnsionlss qniis ino υ ν β β ρ µ υ ρ σ υ υ µ υ ρ R P R Vk Q A n UV g UV g G L h V B So S k V V V V U h is h imnsionlss fli ss. R is h Rnols nm. P is h Pnl nm. S is h Shmi nm. is h mgni fil m. h is h sli m. A is h h soion m. G is h Gshof nm. is h soll Gshof nm. So is h So nm. is h hmil ion m. n is h ll m io n is h ll onnion io. is h imnsionlss m n is h imnsionlss onnion. Using h o ssiions in Eqs. - folloing h qions in non- imnsionl fom G R R R P P R A
8 hmo iffsion n hmil Rion Effs on H Jgish PRAKASH l. h://js...h Wlilk J Si & h So S R h ln on oniions oin fom sing h imnsionlss qniis n h ε : os : ho of solion h mli ε of h injion loi is smll hn sing ion hniq h solion o his flo olm m ssm o s h folloing fom ngling h high os of ε. ε ε ε ε ε ε hn ε h olm s o imnsionl flo n is gon h folloing qions oin fom Eqs. - sing Eq. o R R R G o
9 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. R R P R R A S R SoS R S h n imnsionlss m n onnion of s. Using in h osoning on oniions : : h n sj o h on oniions. Soling h Eqs. - h folloing solions oin. W V P onsn Whn ε ssiing ino h Eqs. - sil n qing h offiins of lik os of ε on oh sis n ngling hos of ε ε. h folloing qions oin. G R Wlilk J Si & h
10 hmo iffsion n hmil Rion Effs on H Jgish PRAKASH l. h://js...h Wlilk J Si & h R R P P R A R So S h n imnsionlss m n onnion of moing ls. h osoning on oniions : os : h oss flo solion h qions goning h oss flo gin n. h solions fo n ssm o h folloing fom. os sin os h nos h iffniion of ih s o. Using h ssiions in h folloing on oniions oin. Aling h o ssiions fo n in Eqs. n n hn soling hm sj o h on oniions h folloing solions oin
11 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. os sin Solions of h min flo m n sis onnion fils h qions goning h min flo h m n h sis onnion fils gin n sil. h solions fo ssm o of h fom os os os h folloing on oniions oin sing h o ssiions in h Aling h o ssiions fo n in Eqs. n n hn soling hm sj o h on oniions h folloing solions oin os os Wlilk J Si & h
12 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. os Ssiing - n - in h solions fo loi m n onnion of h fli oin. Skin fiion h non-imnsionl skin fiion τ xo in h min flo iion h l is gin s τ xo ' ' ε os Nssl nm h imnsionlss h flx N h l is gin s N ' ' ε os Shoo nm h non-imnsionl mss flx h l in ms of Shoo nm Sh is gin s Sh ' ' ε os Rsls n isssion his ims xlining h o flo i.. hn h lo l is s h fli is inj ih sinsoil loi hil h l mos ih nifom loi sj o onsn sion n fis o loi sli oniions. In h sn insigion h ffs of So nm So hmil ion Shmi nm S Rnols nm R Gshof nm fo h nsf G Gshof nm fo mss nsf h soion m A sli m h Pnl nm P n gni m on min flo loi m n onnion os. h Pnl nm fo i o K n m is gin P.. h ls of ε n fix ε. n. nlss ohis s. h ffs of h o s ms ghill shon in Figs -. h infln of on skin fiion n h of mss nsf si n h sls shon in ls n. h ff of A on imnsionlss of h nsf is si. n h sls xhii hogh l. Wlilk J Si & h
13 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. Gnll h fli loi is high n h moing sf n ss o o l f fom h l sf sisfing h f fil on oniion fo ll m ls. In Fig h ff of insing h mgni fil sngh on h momnm on-l hiknss is ills. I is no ll-slish f h h mgni fil sns ming ff on h loi fil ing g fo h ooss h fli moion sing h loi o s. A oml s hnomnon is os in h gion los o h moing l. h infln of hml G n soll on h loi is shon in Fig. h hml Gshof nm signifis h li ff of h hml on fo o h isos honmi fo. h flo is l o h nhnmn in on fo osoning o n ins in h hml Gshof nm. h soll fins h io of h sis on fo o h isos honmi fo. I is noi h h loi inss ih insing ls of h. A oml s hnomnon is os in h gion los o h moing l. Usll So ls h fli loi. I is os h inss s So inss in h gion of h hnnl oximl gin.. Ho his n ss omll in h gion los o h moing l s shon in Fig. Fig shos h loi fo iffn ls of hmil ion m. I is os h h loi inss ih h ins of h hmil ion m in h gion of h hnnl oximl gin.. Ho his n ss in h gion los o h moing l. h flo loi inss fo inss in S o R s xhii hogh Fig in h gion of h hnnl oximl gin.. Ho his n ss in h gion los o h moing l. Fom Fig i is os h n ins in h ls o s in. Fom Fig h ffs of ll m n onnion ios on loi of h fli si. As ll m io n o ll onnion io inss h loi inss. Ho his n ss in h gion los o h moing l. h ffs of A R n P on h m of h fli i hogh Figs -. Fom hs figs i is l h n ins in h mgni of h soion m A R n P sl in s of m. h son is h smll ls of P qiln o insing h hml oniiis n hfo h is l o iffs fom h h sf mo il hn fo high ls of P. Hn in h s of smll Pnl nms s h on l is hik h of h nsf is. h ffs of So S R A n P on onnion of h fli si n h sls xhii hogh Figs -. inss ih inmns in So S R A n P s shon in Figs P. R. So G S. A -. h. n.... Fig Vloi ofils ih iions in. Wlilk J Si & h
14 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l... P. R.. S. G So G G h. n G G A Fig Vloi ofils ih iions in G n... So So So.... P. R. G S. A -. h. n.... Fig Vloi ofils ih iions in So P. R. G S. So A -. h. n.... Fig Vloi ofils ih iions in. Wlilk J Si & h
15 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l S. R. S. R. S. R. S. R. S. R Fig Vloi ofils ih iions in S n R. P. G So h. n A -... h. h. h..... P. R. G S. A -. So n.... Fig Vloi ofils ih iions in h n n n n n. P. R. S. So h. A -. G Fig Vloi ofils ih iions in n n. Wlilk J Si & h
16 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l.. P. R. G S. So h. n... A -. A -. A Fig m ofils ih iions in A.. P. A -. G S. So h. n... R. R. R Fig m ofils ih iions in R.. R. G A -. S. So h. n Fig m ofils ih iions in P. Wlilk J Si & h
17 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l.... So So So R. G A -. S. P. h. n.... Fig onnion ofils ih iions in So.. R. G A -. S. So P. h. n Fig onnion ofils ih iions in S. R. A -. P. S. R. A -. P. S. R. A -. P. S. R. A -. P. S. R. A -. P G So h. n Fig onnion ofils ih iions in S R A P. Wlilk J Si & h
18 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. l Nmil ls of skin fiion offiin fo iffn ls of R n. R τ XO. τ XO. τ XO l Nmil ls of Shoo Nm fo iffn ls of R n. R Sh. Sh. Sh h hio of h fnions of τ XO n Sh n h infln of gins insing R is mons hogh ls n. W n onl h n ins in ss oh τ τ XO n Sh o ins. Fo gin l of XO n Sh ins ih insing R. Fh l is h n of N n h infln of A gins insing R. I is sn h n ins in h mgni of h soion m A i.. n ins in A ss N o s gins insing R. I n lso no h h infln of A on N is signifin fo smll ls of R. Ho h ff of A on N ssms signifin hn h inil fos n isos fos of nl oml mgnis. Also N is high in h sn of h soion. l Nmil ls of Nssl nm fo iffn ls of R n A. R N A N A -. N A Wlilk J Si & h
19 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. onlsions In his : W h si hmo-iffsion n hmil ion ffs on imnsionl f onion o flo of isos inomssil n lill oning fli in h sn of nifom mgni fil n h soion. A ion hniq s mlo o sol h sling ol il iffnil qions. I s fon h h loi ofils ins o ins in hmo-iffsion m hmil ion m h Shmi nm hml Gshof nm mss Gshof nm Rnols nm n Pnl nm. An ins in h R n P l o s in h m ofil n n ins in h onnion ofil. Also i s fon h h onnion ofil ins o inss in h hmoiffsion m So n h. An ins in hmil ion m ss oh skin fiion n Shoo nm o ins. h sls of his s n li in mn hmil ngining osss sh s ing oion onnsion slimion n sl goh s ll s osiion of hin films. hs osss k l in nmos insil liions.g. olm oion mnfing of mis o glss n foo ossing. Aknolgmns h hos hnk hi si mns of hmis h Unisi of Bosn RVR & J ollg of Engining n Si Vnks Unisi fo h xlln sh-simling nionmn. Rfns [] Ah G sh n LP Singh. gni fil ffs on h f onion n mss nsf flo hogh oos mim ih onsn sion n onsn h flx. Inin J. P Al. h. -. [] BK Jh n R Ps. H f-onion n mss nsf flo hogh oos mim ih h so. Asohs. S Si. -. [] P K Shoo N n S Bisl. gnohonmi ns f onion flo s n infini il l ih onsn sion n h sink. Inin J. P Al. h. -. [] B Gh n L P. h n of il onion flos sling fom omin on ffs of h hml n mss iffsion. In. J. H ss n. -. [] GA Gognoolos. Effs of f onion on h ho mgni l flo s il oos limiing sf. Asohs. S Si. -. [] NG Kfossis n EW Willims. hml-iffsion n iffsion-hmo ffs on mix ffo oni n mss nsf on l flo ih m nn isosi. In. J. Eng. Si. -. [] NG Kfossis. H hml-iffsion ffs on f-oni n mss nsf flo o n infini il moing l. Asohs. S Si. -. [] I Nml n Alm. fo n So ffs on s H f onion n mss nsf fli flo hogh oos mim in oing ssm. J. N. Ahi.. Eng. -. [] S Alm Rhmn n A Sm. Nmil s of h omin f fo onion n mss nsf flo s il oos l in oos mim ih h gnion n hml iffsion. Nonlin Anl. ol. on. -. Wlilk J Si & h
20 hmo iffsion n hmil Rion Effs on H h://js...h Jgish PRAKASH l. [] S Alm Rhmn n A Sm. fo n So ffs on ns H f onion n mss nsf flo s il oos l in oos mim. Nonlin Anl. ol. on. -. [] N Nnosis. hml iffsion ffs on H f-oni n mss nsf flo s moing il l in oing fli. Asohs. S Si. -. [] A Hossin n A S Rs. omin h n mss nsf in nl onion flo fom il sf. A h. -. [] V Amhk. Nmil solions of h n mss nsf ffs of n ns H f oni flo s n infini il l ih onsn sion. J. N. Ahi.. Eng. -. [] A K Singh. H f onion n mss nsf flo ih h so n hml iffsion. J. Eng. H ss n. -. [] G Al-Rhmn. hml iffsion n H ffs on omin f- fo onion n mss nsf of isos fli flo hogh oos mim ih h gnion. hm. Eng. h. -. [] AJ hmk A Rhim n A Khl. Simili solions fo ho mgni simlnos h n mss nsf nl onion fom n inlin l ih innl h gnion soion. H ss n. -. [] UN s RK k n V Sonlgk. Effs of mss nsf on flo s n imlsil s infini il l ih hmil ion. Foshng im Ingnisn -. [] R hmsm J hsi n J Pnngn. Uns H flo s n imlsil s smi-infini il l in h sn of hmil ion. In. R. P Al. h. -. [] S Alm Rhmn n A S. Effs of hmohosis n hmil ion on ns ho mgni f onion n mss nsf flo s n imlsil s infini inlin oos l in h sn of h gnion/soion. hmms In. J. Si. h. -. [] AJ hmk A nso n A Al. Uns H f oni h n mss nsf fom il oos l ih Hll n hml iion n hmil ion ffs. In. J. Nm. h. Fli. -. [] A Sk. Fini-lmn mho fo h ffs of hmil ion il isosi hmohosis n h gnion/ soion on on l ho mgni flo ih h n mss nsf o h sf. A h. -. [] S L n S Gog. gno honmi s flo omions in h imnsions. In. J. Nm. h. Fli. -. [] K Singh n R Shm. h imnsionl f oni flo n h nsf hogh oos mim ih ioi mili. Inin J. P Al. h. -. [] G G n R Johi. H h imnsionl flo s oos l. Inin J. P Al. h. -. [] K Singh n R Shm. h imnsionl o flo hogh oos mim ih h nsf. Inin J. P Al. h. -. [] N Jin n P G. h imnsionl f onion o flo ih nsiion ooling. J. Zhjing Uni. Si. A -. [] P Singh VP Shm n UN is. h-imnsionl f onion flo n h nsf long oos il l. Al. Si. Rs. -. [] SS s ohn JP Pn n SK Shoo. Homgni h imnsionl o flo n h nsf. J. N. Ahi.. Eng. -. [] K Singh n R Shm. H h imnsionl o flo ih nsiion ooling. ZA- J. Al h. h. -. [] NA R Rj n SVK Vm. So ffs on H h imnsionl f onion o flo ih h n mss nsf in sn of h sink. In. J. Fli h. -. Wlilk J Si & h
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