Wall Function Boundary Conditions Including Heat Transfer and Compressibility

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, the wall heat transfer, and the turbulence quantities at the first point off the wall. The new boundary conditions are incorporated into a Navier‐Stokes computational fluid dynamics code that includes the Spalart‐Allmaras and shear stress transport turbulence models. The wall function boundary conditions produce reasonable engineering solutions for the test cases presented for initial wall spacings of y + < 100.