Derivation of the Reynolds Type Equation with Memory Effects
by
Antonija Duvnjak
University of Zagreb, Croatia

We consider the lubrication process of slipper bearings.
Starting from the nonstationary Stokes equations in thin 3-dimensional domain and using the asymptotic expansion we obtain the Reynolds type lubrication equation with memory effects governing the 2-dimensional macroscopic flow. The law is nonlocal in time and gives a linear connection between velocity and pressure gradient.
We present a convergence theorem for velocity and pressure in appropriate functional spaces, as the characteristic size of bearings tends to zero.

Date received: March 14, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-91.