Glasnik matematički, Vol. 39 No. 1, 2004.
Original scientific paper
Derivation of the Reynolds type equation with memory effects, governing transient flow of lubric
Antonija Duvnjak
Abstract
In this paper we derive the Reynolds type lubrication equation with memory effects for lubrication of a rotating shaft. Starting from the nonstationary Stokes equations and using the asymptotic expansion we obtain a law that is nonlocal in time and gives a linear connection between velocity and pressure gradient. Our law tends to the classical Reynolds equation when time tends to infinity. We prove a convergence theorem for velocity and pressure in appropriate functional space.
Keywords
Nonstationary Stokes system; nonlocal Reynolds equation
Hrčak ID:
1265
URI
Publication date:
1.6.2004.
Visits: 5.806 *