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Law of the wall in the presence of pressure gradient

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Old   August 2, 2012, 22:12
Default Law of the wall in the presence of pressure gradient
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Yidong
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I'm a beginner in study of turbulence. In classic textbooks, law of wall is given in an incompressible, constant-pressure boundary layer, and yields

U^+ = 1/k*ln(y^+) + C

But if the pressure gradient is considered, what the law of the wall will become? If you happen to know how to derive or any reference book has the detail on it, please let me know. Thanks!
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Old   August 4, 2012, 20:40
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I see in the help document of FLUENT, there is introduction to the non-equilibrium wall function sensitized to pressure gradient. Anyway, that is only about the function itself, but no detail how it is derived. Maybe it is a tough topic. I just wish anyone might give me any clue
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Old   August 5, 2012, 14:40
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Shenren Xu
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check "frank white viscous fluid flow"
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