Lecture 22 Forced Convection 3

Lecture 22 Forced Convection 3 - 1 MECE 4364 Heat Transfer...

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MECE 4364 Heat Transfer Prof. Dong Liu Department of Mechanical Engineering University of Houston 1 Lecture 22 – Nov 02, 2010 Lecture 22 Forced Convection 2
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Lecture 22 Thermally Fully Developed Flow ± Consider dimensionless temperature difference ± Assuming steady flow and constant properties, the flow is thermally fully developed when the relative thermal conditions, such as the dimensionless temperature profile, are invariant with x. ( ) ( ) () () , s sm Tx Trx Tx T x 3 ( ) ( ) () , 0 s s s m TT f x xTx Tx T T ⎡⎤ ∂− =⇒ ⎢⎥ ⎣⎦ Lecture 22 Fully Developed Flow ± The effect of the thermally fully developed conditions on the convection coefficient o o rr s T r f x rT T = = −∂ =≠ Assuming constant properties o x T r qk h f xh f x TT k = −∂ ′′ == −− entrance region fully developed region 4 ± Under thermally fully developed conditions, the convection coefficient is a constant
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Lecture 22 Thermally Fully Developed Flow ± Uniform surface heat flux: both h and q s ’’ are constant ± Uniform surface temperature 5 ( ) ( ) () , 0 s sm Tx Trx xTx Tx ⎡⎤ = ⎢⎥ ∂− ⎣⎦ ,, , , ssssm fdt T dT T TdT xd xT T d T d x =− + From TT T d T T d x = ( )
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Lecture 22 Forced Convection 3 - 1 MECE 4364 Heat Transfer...

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