Reiterated homogenization applied in hydrodynamic lubrication

Reiterated Homogenization in BV via Multiscale Convergence

Multiple-scale homogenization problems are treated in the space BV of functions of bounded variation, using the notion of multiple-scale convergence developed in [35]. In the case of one microscale Amar’s result [3] is recovered under more general conditions; for two or more microscales new results are obtained. AMS Classification Numbers (2010): 49J45, 35B27, 26A45

On hierarchical structures and reiterated homogenization

In this paper we consider the concept of reiterated homogenization, introduced on the physical level by Bruggeman in the 30's and justi ed mathematically by Bensoussan, Lions and Papanicolaou in 1978. We present and discuss some recent developments of this theory and also give some applications to linear and nonlinear problems.

Hydrodynamic and Elastohydrodynamic Lubrication

Contents 1. Introduction 2. Stress-induced lubricant degradation 3. Basic equations governing the fluid elastohydrodynamic lubrication (EHL) of line and point contacts 3.1. Equations of fluid motion 3.2. Contact surface displacements in line and point lubricated contacts 4. Steady isothermal EHL problems for lightly loaded non-conformal line contacts 5. Steady isothermal EHL problems for heavil...

On Turbulence in Hydrodynamic Lubrication

The contribution deals with a self-consistent description of time-mean turbulent lubricant flow, i.e. flow through a wedgeshaped gap confined by counter-sliding solid surfaces. The methods adopted are matched asymptotic expansions, where the slenderness or aspect ratio of the gap and the accordingly defined Reynolds number represent the perturbation parameters. As a remarkable finding, a load-b...

Hydrodynamic Lubrication of Sliding Vanes