Conv_hw7_sol - EML 6155 Homework 7 I ) Turbulent flow...

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---- EML 6155 Homework 7 I) Turbulent flow occurs in a 60 em diameter smooth pipe with mean velocity Um=IO mls and Ren=4x 10 4 . What is the centerline velocity? What is the thickness ofthe viscous sublayer? 2) Given turbulent flow in a duct, . T -Tb detennme and compare this result with the corresponding case for laminar flow. W Tw-Tc 3) Consider the problem ofturbulent flow in a smooth pipe. Assume that u + = 2.5Iny+ +5.5 Empirical observations reveal: U m =U max -4.07u·. Derive an expression for Cras a function ofRen. 4) Use the concept ofthe viscous sublayer, buffer layer, and log layer to determine the Von Karma n solution to turbulent heat transfer, St = h _ C f J pC,u. - 2 1+5jC fI (Pr_1 J +ID(5pr+1 J } 2 6 Note: in buffer layer,
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r , / , 1'\ ~ 'Q. W\ ! It'-CA-t' <;-'. .LtJ leU/r j I;)
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- ----- - --- - - ---- r ('0 r- II.\; 0 2- -,. ( 1- V1. ;'d h tlf6 fi ~ 1- 2 (1 R II \; ~~' (T", _ T(d) et(rHr!r ,\ 0 (VT,) ( ~) 1 ld I-~) 1 rdr 1 (' \ 7.11 - VcR (lW-I~)) (l-~) ~d~ o '/ ql 2--/ ~c:: 1-2. q 2:::(1-1)7 d1. .~-~ll-rd'd1 =-~lIlR'ltlw-r')\1 o I_Z 1 / Q olz ~ '1-:4 U,It-"-cr",-T,) : VJ- -r I) <> --:: / f w -f c
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LA~ u V*' ('I2-r) \.A + ::: .--l _- -I -~ '\) '\J . . . .1 + _ "T -4,(;1 \/\ rr" - \/\ (;
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This note was uploaded on 09/09/2010 for the course EML 6155 taught by Professor Dr.jamesklausner during the Spring '10 term at University of Florida.

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Conv_hw7_sol - EML 6155 Homework 7 I ) Turbulent flow...

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