An Empirical Wall Law for the Mean Velocity in an Adverse Pressure Gradient for RANS Turbulence Modelling

Abstract An empirical wall law for the mean velocity in an adverse pressure gradient is presented, with ultimate goal of aiming at improvement RANS turbulence models and functions. For this purpose a large database turbulent boundary-layer flows gradients from wind tunnel experiments considered, inner layer analysed. The log found to be robust feature. extent log-law region reduced ratio boundary thickness increasing strength gradient. extended emerges above law, extending up outer edge layer. correlation describe reduction proposed, depending on pressure-gradient parameter Reynolds number viscous scaling, whose functional form motivated by similarity scaling arguments. Finally, there discussion conjecture existence velocity, which governed mainly local parameters leading order effects are number, but details can perturbed higher-order history effects.