Orbitally shaken shallow fluid layers. II. An improved wall shear stress model

Paola Alpresa, Spencer Sherwin, Peter Weinberg, Maarten van Reeuwijk

Physics of Fluids · 2018

Abstract

A new model for the analytical prediction of wall shear stress distributions at the base of orbitally shaken shallow fluid layers is developed. This model is a generalisation of the classical extended Stokes solution and will be referred to as the potential theory-Stokes model. The model is validated using a large set of numerical simulations covering a wide range of flow regimes representative of those used in laboratory experiments. It is demonstrated that the model is in much better agreement with the simulation data than the classical Stokes solution, improving the prediction in 63% of the studied cases. The central assumption of the model—which is to link the wall shear stress with the surface velocity—is shown to hold remarkably well over all regimes covered. Published by AIP Publishing. https://doi.org/10.1063/1.5016343