Abstract
Wall function boundary conditions that include the effects of compressibility and heat transfer are developed for transport-type turbulence models. The wall functions are based on coupled velocity and temperature profiles valid in both the viscous sublayer and the log layer. The wall function boundary conditions are developed within a rigid set of assumptions so that a consistent set of relationships are derived for the wall shear stress, wall heat transfer, and the turbulence quantities at the first point off the wall. The new boundary conditions are incorporated into a Navier-Stokes CFD code that includes the Spalart-Allmaras and SST turbulence models. The wall function boundary conditions produce reasonable engineering solutions for the test cases presented here for initial wall spacings of y + less than or equal to 100.
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