5 - NRE 4124 HW Set # 5 — Transport Equations for Sin gie...

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Unformatted text preview: NRE 4124 HW Set # 5 — Transport Equations for Sin gie Phase Flow ' I '1. 4.3..paga123 £1me and mi.- 2. 4.9, page 124 .3me and Kama. 3. Prablem 9.2. page 40? of Tam and Kazimi. 4. A Viacom fluid flow. a small circular tube and than downward on the smith—(flee ' Figure). :1. By means of a shell Wm: Balance, shew that far iamimu' flow, neglecting end efibcas, the veiocity Mbmiun it: the fihn is given by: V, a '[I +202 In h. Obtain an expression for the volume me of flow in the film. ‘I «._ -. ~ 9 \ wake-am NRE 4214 HW Set # 5 — Transport Equations for Single Phase Flow Solutions ":' '1'. 4.8, page. 323 sham md-Kazimi. 52¢” " 47m): [’”(£)]' 0) R Q 2 jun". 4110) air (2.) o R 3) - “1.... MW 4! (r) Ar ( VMQM " 1.1.2.: J 2 Subshhhuj U) M (2—) I: a) , we fid- ..3 3 0-.- TLE". ATM :- 7354 ma. M/s Z I Um " J" 4.}.- x 3 1‘0 - z m Average K-E p” and volume R . . Av- E 3 J“ J J- 10} zmr IU" Lk )‘Wj Q (2 f ’3 v R. if A .. , J ‘_ 1") f‘ v» w TIE? (Mun/1) a K’ ha 1 I It 3 t- .r ’ 2 F “W J [*“L‘Efl ($13 4(a) .-= 6.4%“: = Mm (Am, 2. Problem 4.9, page 124 of Todreas and Kazimi. 7. (a) U : x+j +2 N3 5 X—‘j +3 U} : 2X3 +3 Con+,:4,,‘;13 Ecbuu‘h‘m 'Pw an IhcmPV‘esSch ‘Flbh;‘{ -' LHS : \ — \+ O : O : RHS who Vaman dashhfmh‘m amass HM mmwia 5%. 3 ‘FW M {mum-’PY‘CGSW ‘FLULJL'I/l (m MK: in+. k%3 —x32£2 MT: if 2. 2 Bg+§ga+ayj= L321: fixitl +%(xE-3*) 32¢ 33 3% = o -. +1“; augmwym 544;“; w Cm+ur\\m:~ta E7,- {Tvcwx thmPH$9£W 3. Problem 9.2, page 407 of Todreas and Kazimi. For Shag-49) :nwwessn'lth, lammar "PW 0“: at Mahatma FIwLA a I Am- v ham W Parallel Phi—m: Lu _ '__23 C‘Msc’VMH’“ 0f X—mmmhm ‘er 4 Shall at a.“ arby'hfaru ' ta " Md‘w A3 to . 133 L JFa‘LWLJ m limp)- USL-UA 3‘] -—>D ) W'- d’C-gx _ _, if. :53 " FM Wm.“ PM 'tw— 6:5: W _ cu “1.53 dgl dx A“; . ( 4. A viscous fluid flows upward through a small 1,- circular tube and then downward on the outside (see — - - —— 2‘- a Figure). I a. By means of a shell momentum balance, show that for laminar flow, neglecting end effects, the velocity distribution in the film is given by: 2 2 v2 = pg}? 1—[:] + 2a2 in (1—) 4 p R R b. Obtain an expression for the volume rate of flow - R in the film. a R Consider m Wirit‘a—Q Sis-LU. radius "P" ova-vi +L~Cd¢vw “ Ar ”_ uJLtL uL-u . Confitw M‘Hm 0—6 I mmmwb - ab . ) r4115!) guy”: of {Wag} Mum m H Maw-M ml + cad-M3 m +m5t15l-cm) = ‘3 Sl'z-nr L,Trtlr + Q—‘W’WHE _ % zan’Cralny 4. (2m AWth 3 +2-anWL- (’3 :o Nob: PM” 0;]- zzo 4&4 }:L M ccbml “to ambiw Sin/«LC m is lir‘Lma—Pr‘e sgflple I QUE) —— AI- Hana, ‘HA—L CLLr'w-c Crbua‘l'fm Swi-«f’r‘ch-é +13 % :"O I ELL“ £4“ rTr¥iY+Ar “ r7171" = (3%“ ...
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5 - NRE 4124 HW Set # 5 — Transport Equations for Sin gie...

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