Modeling of shear stress and pressure acting on small-amplitude wavy surface in channels with turbulent flow

Simulation results and algebraic models of wall shear stress and pressure forces acting on the wavy surface in channels with turbulent flow are presented in dependence on channel height H, ratio of the wavelength λ to the wave amplitude a and bulk velocity Ub. The models have been designed using results of the set of steady numerical simulations computed by k–∊ V2F turbulence model for various configurations defined by selection of ratio H/λ in range from 0.6 to 1.4, steepness ratio λ/a in range from 20 to 200 and bulk velocity Ub in range of Reynolds number Re=HUb/ν from 3830 to 89,366. The applicability of the k–∊ V2F model is verified by DNS results and derived algebraic models are validated using experimental data and other models. Very good agreement with measurements is observed within a defined range of conditions.