Law of the wall in the presence of pressure gradient

yidongxia · August 2, 2012, 22:12

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!

yidongxia · August 4, 2012, 20:40

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

Shenren_CN · August 5, 2012, 14:40

check "frank white viscous fluid flow"

August 2, 2012, 22:12	Law of the wall in the presence of pressure gradient	#1
yidongxia New Member Yidong Join Date: Nov 2011 Posts: 23 Rep Power: 14	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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August 4, 2012, 20:40		#2
yidongxia New Member Yidong Join Date: Nov 2011 Posts: 23 Rep Power: 14	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

August 5, 2012, 14:40		#3
Shenren_CN Member Shenren Xu Join Date: Jan 2011 Location: London, U.K. Posts: 67 Rep Power: 15	check "frank white viscous fluid flow"