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Closing on wall functions - part 7: starting from a profile

Posted April 26, 2022 at 12:12 by sbaffini (NuTBox)
Updated April 27, 2022 at 18:57 by sbaffini

It might happens that one doesn't have a turbulent viscosity profile but actually has just an equilibrium profile for velocity or temperature. More specifically:

T^+ = Pr \left(\frac{{s_T^{-1}}^+}{y^+}\right)  y^+

with its obvious extension to the velocity case. In order to go back to the framework presented here one should notice that:

\frac{d}{dy^+}\left({s_T^{-1}}^+\right) = \frac{1}{1+\frac{Pr}{Pr_t}\frac{\mu_t}{\mu}}...
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