prob.viiii-2

# prob.viiii-2 - m be C he 5 d or 1 MomentumﬁEquotion for...

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Unformatted text preview: m be C. he 5': d or: 1. MomentumﬁEquotion for compressible ﬂow 13:15r : .‘ﬁ'P + 4- Dt tLiq 4—9ﬂh} where. _' oi = 1: + E? r Dt dt For greatly atnte. a—v- — _. Fit 1] Ftu developed laminar ﬂow implies that the women)! at anyr point is in the it axis direction. '5“; = 1""3: = D 2] For fullyr developed laminar flow. the pressure gradient in y and z direerion are If]. 3P 3P 3321.111 33 E32 and a; dit Sinee gravin doesn't affect Fluid flow in it direction, Eq 4-90b becomes: oin = _ EE+I Sigh + 325*; + 3%, at dx ,de Ely1 3:3 {1} VI. _ — o a: 4} Fror_n the continuity equation for the ineompreesihie ﬂow1 v'“ 3 0 9n = a): 11.311 Problem 5:: #9 Solution Fae: 'm 'J-llf 'H'l iﬂLl 1| ire-fore, Equation (1) bCCﬂrnes z day! (2.} Imagrute Equation [2} _ _ 1 .- VI'EH I + C1}! + C3 .. {3} .:__”F'1'~313‘~'€l'ﬁgﬂ flaw velocity J‘ Prnhlem 9-1 It inn {1 Substituting Equation E4} to Equation {3L “xii-’3 =-‘ .1” I I JV—f-l 2' n1 _ [5‘] 3. me Equation {4). _ dB = lapqtzﬂ dtt 5% WW 3 (a) As pmposad by Darcy. Equatzttn {61cm ht: written as fullnwrt. - :tP. = Lﬁ dtt [3'it 2 [1} where. = : 1-2325 = J I: PW 2 fr": (3} Equating Equatinn [6] and [TL ti: 3&1 2 ] DE me Substituting Equationﬁ} to Equation {9}. +‘.=ﬂ-LL=95-—“_=95- ’1 9"“ng pvm4ya pvaJc 22.312 Pmttlcm Set #9 Saintion Page 4 ...
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prob.viiii-2 - m be C he 5 d or 1 MomentumﬁEquotion for...

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