An Application of thek-εModel to Oscillatory Boundary Layers

Abstract

The k-ε model of turbulence is applied to one-dimensional oscillatory turbulent boundary layer flow. Computations are performed over fine meshes extending from the bottom to the outside of the boundary layer. Effects of low Reynolds number are included in the equations of turbulent kinetic energy and turbulent energy dissipation rate. An additional production of turbulent kinetic energy due to the surface roughness is simulated by introduction of a ‘roughness viscosity’ in the production term of turbulent kinetic energy transport equation. Computed turbulent kinetic energy, Reynolds stresses and friction factors are compared with experimental data. Expressions for the friction factor, wave energy dissipation factor and phase shift are obtained.