Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface

Abstract

The hard disk data storage surfaces of magnetic storage devices are artificially roughened, and this phenomena induces an equation with a rapidly oscillating coefficients. In this work we give homogenization results for both continuum and slip flow problems. Proofs are based on a double-scale convergence and a new homogenized problem is given for the slip flow problem. The existence and uniqueness of the limit solutions are given and some numerical results are presented.