INTRODUCTION TO HEAT EXCHANGERS
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1 ICM Ha Exangr. Ha Exangr INROCION O HE EXCHNGERS P f upn n w, nrgy ranfrrd fr a flud a ldr flud by vru f praur dffrn. Ha Exangr ar wdly ud n prlu and al ndur, al prng, rfrgran, ang and ar-ndnng.. ubl-pp a xangr and ld flud ar nad by an f a ub wn a ub. flud ay flw n a r pp drn. Cunr flw Paralll flw Ha ranfr ak pla rug nd pp wall by ndun and nvn. Ha ranfr rlan: Oud wall: L( π [Cnvn] P rug wall: kl( P P π [Cndun] lg ( Ind wall: L( Rarrang uan: π [Cnvn] P PF rad w FnPrn pdffary ral vrn p://
2 ICM Ha Exangr L P π kl P P π ( lg L P π ddng: ( k L lg π n: k L ( lg ( π (. Fr a xangr, uually xprd n r f an vrall a ranfr ffn (. ay b bad n r nd r ud ara f nral pp. ( ( L π ( ( L π a : ( ( ( ( L L π π (. Cparng Euan. and.: k lg ( k lg and ( k lg In pra, praur f b and ld flud uually vary rugu lng f xangr. an a avrag, an r rprnav praur dffrn,, a b dfnd. PF rad w FnPrn pdffary ral vrn p://
3 ICM Ha Exangr.. Ha xangr an praur dffrn Cndr a pl paralll flw a xangr: upn: nan rugu xangr Ha apa and flw ra f b flud ran nan Nglgbl a l urrundng v any r-n f xangr, praur f a flud ay b rprnd by a ngl valu. praur drbun n xangr: Fr ln f lng dx (ara d: d d Bu fr a flud: d C d d d d d C C nan C nan d Fr a flud: a flw ra C a apay 3 PF rad w FnPrn pdffary ral vrn p://
4 ICM Ha Exangr S pl f agan fr a flud a rag ln. u grap f agan al a rag ln. S: Bu al, ( ( d d d fr ln ( ( d d ( ( d Ingrang: [ lg ] 0 d ( [ ] 0 lg ( PF rad w FnPrn pdffary ral vrn p:// 4
5 ICM Ha Exangr Cparng w:, lg ( alld Lgar Man praur ffrn (LM and ay b appld ually Cunr Flw xangr... Prdn f ul praur Cndr a dubl-pp a xangr prang undr unr flw ndn. I drd prd ul praur f flud, knwng nly nl praur. l: R-arrangng: ( C fr ld flud lg lg ( ( {( ( } ( ( C ( C ( bu n C ( C ( C C R [Capaan Ra] lg C ( R xp C ( R (.. Bu fr rlan dfnng R (.. R Elnang ( ( R R R xp [ xp ( R C ] ( ( R C ra R drnd fr a flw ra and a apa f w ra. vrall a ranfr ffn ay b alulad fr lal a ranfr ffn and, drnd fr andard a ranfr rrlan; Nu f [R, Pr] PF rad w FnPrn pdffary ral vrn p:// 5
6 ICM Ha Exangr lar drvan a abv ay b plyd fr an xangr prang undr paralll flw ndn, n: { R xp[ ( R C] } R{ xp[ ( R C] } ( R xp ( R C ( In b a, addnal ul praur drnd fr:.3. Fulng far ( C ( C & urng pran f a xangr, dp f dr, nral ar and baral ang an auula n a ranfr urfa. llwan fr an b ad n ba f pral fulng far. Nglng ndun ran, fr a lan ub: ( pral fulng far ar ply nludd a fllw; ( f R wr R d and R d ar fulng ran fr nd and ud urfa rpvly. 3. Sll and ub Ha Exangr ubl-pp a xangr ar nly ud fr rlavly all flw ra and lw a ranfr du. Wn gr a ranfr ra ar rurd, u r a ranfr urfa ara rurd. an b prvdd ung a bundl f ub nd an ur annular ll. d R d ypally nubr f ub rang bwn 0 and 000. Baffl ar ud dfl flw a prdu gd a ranfr na bwn flud and ub. gn f baffl vary nlud (a gnal baffl, (b d and dugnu baffl, ( rf baffl. PF rad w FnPrn pdffary ral vrn p:// 6
7 ICM Ha Exangr p plx flw parn f ll flud, dv abv apprxa a pl unr flw a xangr. I dgnad a a n ll pa, n ub pa (- a xangr. In rdr nra a ranfr ffn n ub flw (by nrang vly fr a gvn a ranfr ara, ub flud ay b arrangd pa w rug ll. abv a (- a xangr n ll pa, w ub-pa. agraaally, (- xangr ay b rprnd a fllw: Bau, n a, flw par paralll flw and par unr flw, prfran nfrr a f a ru unr flw, a xangr. I wa plad alula a rprnav fr a. In pra, a rrn far F appld dfy nvnnal Lgar Man praur ffrn (LM. F F alulad n r f w praur far R and S. N.B. In rdr dngu bwn ll and ub flud, ybl and ar ud fr praur. ln C R & C R fn rfrrd a Capaan Ra N.B. fr ld flud a ub flud. If flud n ub: C R & C PF rad w FnPrn pdffary ral vrn p:// 7
8 ICM Ha Exangr S S In d, alway drb ll flud praur and alway drb ub flud praur. ( ( ( ( wr ln ( LM unrflw lg ( lg ( ( ( n wr F ud urfa ara f ub ln Fr parular a f a xangr a av ll pa and r r ub pa rrn far F ay b wrn n analy fr. ( drvan lngy! F ( R ( R lg / lg [( S ( RS ] ( R ( R / S ( S R ( R / funn pl a fllw: fr f funn wn n dagra n rg. ( al Fg.. rrn far appra ud wn nl and ul, praur, flw ra and flud prpr ar pfd. If drd prd ul praur, n varu rlanp ay b bnd n an alrnav fr gv: C ( R / lg / ( R ( R S ( S R ( R / n Brk pld uan a wn n dagra blw. PF rad w FnPrn pdffary ral vrn p:// 8
9 ICM Ha Exangr Fr an xng (, ll and ub a xangr, and C ar knwn, R an b alulad and ay b drvd fr fl ffn and. f abv ar n gv a valu fr S: pndng n w S r flud n pp fr w ub flud ul praur ( an b alulad. rrpndng ul praur fr ll flud an b drnd fr an nrgy balan: C( C( S, f ld ul praur a alrady bn alulad, flud ul praur gvn by: C ( R( C ppra praur ban axu prfran fr a a xangr, ld flud ul praur uld b a g a pbl. alld appra praur and, wn >, a praur r ad ur and valu f F fall rapdly. ndr ruan advanagu u a a xangr w w r r ll pa. PF rad w FnPrn pdffary ral vrn p:// 9
10 ICM Ha Exangr Fr u a, furr uan and ar ar avalabl w gnral fr: ( R S F f, 3.. Ha ranfr Cffn and Flud Frn 3... ub d Fr ub d, andard rrlan an b ud fr alulang lal ffn f a ranfr. u-blr Euan: Nu 0,03 (R 0,8 (Pr n n 0,4 fr flud bng ad, n 0,3 fr flud bng ld rrlan appl fr R and 0,7 Pr 60 wr V Nu R k ν ν µ ρ Flud prpr ar nrally valuad a avrag flud praur,.g. ( / r ( / frnal prur drp fr flw nd ub :- 0,079 0,046 p 4C wr C ( R r C ( R > f 0,5 f R I nary ak nubr f ub-pa n aun, nludng rurn prur drp. ρv N P L pub 4C f 4N P wr N P nubr f ub pa R 0, f L ρv PF rad w FnPrn pdffary ral vrn p:// 0
11 ICM Ha Exangr 3... Sll d ll-flud vly var rugu ll. drn f flw parly alng ub and parly nral ub, dpndng n baffl arrangn. rurd arar lng (fr a ranfr and frn alulad dpndng n ub-p layu. Fr b: ( Flwra 4 [Euvaln dar] Wd Prr 4{ S π ( 4 } Suar: rangular: π ll-d arar ara alulad a: wr: ll nd dar C laran bwn ub B baffl pang S ub-p Carar vly: V ρ baffl-pang 4 {( S ( 0,86S π( 8 } CB S π Nul nubr fr ll d gvn by an pral uan a a bn drvd fr aurn n a nubr f ral a xangr. 0,55 0,33 Nu 0,36 R Pr V 3 6 wr: R ( 0 R 0 ν ν and Pr ( 0, α k [Rynld nubr] [Prandl nubr] {N.B. Prpr ar valuad a avrag flud praur (nl ul/} PF rad w FnPrn pdffary ral vrn p://
12 ICM Ha Exangr Prur drp n ll dpnd n nubr f ll flud r ub bundl. p 4C f ( N B ρv wr N B nubr f baffl (N B nubr f rng C f { 0,576 0,9 lg R } 0,5xp (400 R 0 6 (N.B. prally drnd frn far allw fr nran and x l PF rad w FnPrn pdffary ral vrn p://
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