Nonlinear Reynolds equation for hydrodynamic lubrication
Classical Analysis and ODEs
2017-11-16 v1 Fluid Dynamics
Abstract
We derive a novel and rigorous correction to the classical Reynolds lubrication approximation for fluids with viscosity depending upon the pressure. Our analysis shows that the pressure dependence of viscosity leads to additional nonlinear terms related to the shear-rate and arising from a non negligible cross-film pressure. We present a numerical comparison between the classical Reynolds equation and our modified equation and conclude that the modified equation leads to the prediction of higher pressures and viscosities in the flow domain.
Keywords
Cite
@article{arxiv.1502.05993,
title = {Nonlinear Reynolds equation for hydrodynamic lubrication},
author = {Tom Gustafsson and K. R. Rajagopal and R. Stenberg and J. Videman},
journal= {arXiv preprint arXiv:1502.05993},
year = {2017}
}