How the Reynolds equation is related to the Stokes equations
Abstract
The Reynolds equation, which gives the pressure distribution in a thin layer of lubricating fluid, is usually motivated in a rather heuristic way. An attempt is made to clarify how the Reynolds equation can be viewed as an asymptotic solution of the Stokes equations.
 Publication:

Applied Mathematics Optimization
 Pub Date:
 October 1983
 Bibcode:
 1983ApMaO..10..267C
 Keywords:

 Computational Fluid Dynamics;
 Fluid Films;
 Lubrication;
 NavierStokes Equation;
 Pressure Distribution;
 Reynolds Equation;
 Asymptotic Methods;
 Flow Equations;
 Incompressible Flow;
 Perturbation Theory;
 Stream Functions (Fluids);
 Viscous Flow;
 Fluid Mechanics and Heat Transfer