Boundary Layer for a Non-Newtonian Flow over a Rough Surface
Analysis of PDEs
2015-11-05 v1
Abstract
We analyze the effect of a rough surface on shear thinning and shear thickening fluids, modeled by power law stress tensors. The roughness is modeled by a small wavelength and small amplitude oscillation, parametrized by eps. We study the boundary layer corrector near the rough surface, and provide error estimates in terms of eps for the associated wall laws. With regards to previous studies, Mathematical difficulties arise from the nonlinearity of the corrector equations.
Keywords
Cite
@article{arxiv.1511.01252,
title = {Boundary Layer for a Non-Newtonian Flow over a Rough Surface},
author = {David Gérard-Varet and Aneta Wróblewska-Kaminska},
journal= {arXiv preprint arXiv:1511.01252},
year = {2015}
}