prob.xiii-2 - Additions to solutions 13-2 9-5 Ten =...

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Unformatted text preview: Additions to solutions: 13-2 9-5 Ten = Toni} + (172113111 ‘I‘mtzi is. found by integrating the heat equation between 2:3 (Inlet temp} and F: {Tmlizli- :51 constant of Integration is included because Thrive chosen to make the RHS an indefinite integr. -I'Le constant :5 shown here :15 a reminder. even though Ihnv‘ ' “5:... integration." J tnedT = I q'i'z'idz + C m the derivative of Tm must be zero for oi dg'fei dTmm =U=U+E+U+JL ‘31 ITIC Enah s Egg: : :1ssh LIL: mi: t'tttt; =t.fesn[-1::J;&Eh-l .nttlet t'nr q‘tm : (31-01 C zqh‘ I _ '-._ {slot-e: it" vntl ennnse tn make the RHS a definite integral. it rnust be integrated frunt_a=0 to 2:2 . “hm this expression 15 plugved into the Tm equatinu. its derivative must he tnund ustng the ntlametttal thenrern ul' ealeulus. Namely. F L12 .I' II it '...-..-..= drizle' Lia. 'tfl II tries... I dz qtaidl Llibll I I' i F0? 15-15 i‘l'"'lftifim~ dilde =1. ELfld dbt’tls = U. and this reduces dntvrt tn the same espressien :ts : shave. but it is impflnmtt In remember that in the gmetai ease the iimits n!" the tiehntte tntegtal .-. must he eumnensated fer. '- Calenlsttun nt‘t-ntrsnee :1nn esit pressure tlrnps: ..E I Hr . : hipvalfll: Fnt the fluid eeing frntn the plenum tn the red bundle. kt = kcifil. and fur the exiting,Ir fluid. 1;! = lath]. Bets :s the expansintuenntrsetiun ratin given h}'. i Pimp: it Bret chmnc] 3.! Jfls : —4l—.. Apicnum P This equatinn gives a value niapprnsimatelv .55 fer The best method of finding kc and k1 is hi“ Using :1 etsnh similar tn figure 9-36. This figure is fnr a triangular pitch. but it will yrs-11d a Lined appresimate salutten fur nur square matrix. This figure gives values ei. kg=lhg= Limit; .Thcs': “ll-m} “i 1" SEES iii-Pfurm = ESTRPs. This answer is mere seeurste than the answer Elven tn the seultten to problem 9-5. fist 2 at i ...
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prob.xiii-2 - Additions to solutions 13-2 9-5 Ten =...

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