# zero equation model for flat plate boundary layer

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 June 17, 2008, 03:35 zero equation model for flat plate boundary layer #1 Amir Guest   Posts: n/a Hello, I want to solve a turbulent boundary layer over flat plate. I want to use zero equation turbulence model. In the equation for mixing length (l=ky(1-exp(-y+/A+)) how can I find y+ because there exists wall shear stress in the y+ relation. Is there any simpler way to calculate the mixing length? thanks

 June 17, 2008, 04:09 Re: zero equation model for flat plate boundary la #2 Praveen. C Guest   Posts: n/a y+ = y u_\tau / \nu where u_\tau is the friction velocity. It comes from \tau_wall = \rho u_\tau^2 where \tau_wall is the shear stress at the wall and found from \tau_wall = \mu du/dy (y is assumed to be wall normal direction)

 June 17, 2008, 05:31 Re: zero equation model for flat plate boundary la #3 Amir Guest   Posts: n/a i wanna solve turbulent boundary layer eq. by finite difference method. should I write difference form of du/dy in \tau_wall = \mu du/dy? du/dy is velocity gradient at the wall, isn't it? How can I write the difference form of du/dy at the wall?

 June 17, 2008, 16:42 Re: zero equation model for flat plate boundary la #4 Praveen. C Guest   Posts: n/a Yes. Use a one-sided finite difference. Experiment with different finite difference formulae and see how the results change. You can compare your solution with experiments.

 June 18, 2008, 11:16 Re: zero equation model for flat plate boundary la #5 Amir Guest   Posts: n/a thanks alot

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