Revisiting compressible boundary layers over wavy walls

The influence of rigid wavy walls on surface pressure, heat flux, and shear stress in compressible laminar and turbulent boundary layers is revisited. The full compressible RANS equations are linearized about a parallel baseflow, including the linearization of the turbulence model. This contrasts with the previous work of Lekoudis et al. (Physics of Fluids, 1976), where the eddy viscosity was held constant. The experimental results of Inger and Williams (AIAA Journal, 1972) are reconsidered, where their wall amplitudes are found to be outside the linear regime, invalidating previous comparisons to linear theory. Using nonlinear RANS simulations, the experimental surface pressure results are reproduced and new linear-limit data is generated for verifying linear models. The effects of freestream conditions (M, Re, T₀, p₀) and surface wavelength and orientation (α, β) on surface quantities are characterized. Finally, the Hanratty correction (Journal of Fluid Mechanics, 1985), a turbulence model modification developed for incompressible flows, is extended to compressible flows and assessed through comparison with nonlinear RANS simulations.