Year
1986
Degree Name
Doctor of Philosophy
Department
Department of Mathematics
Recommended Citation
Yap, Yit-Kim, A Galerkin finite element solution of the time dependent Reynolds equation for the rectangular gas slider bearing, Doctor of Philosophy thesis, Department of Mathematics, University of Wollongong, 1986. https://ro.uow.edu.au/theses/1540
Abstract
The study of gas as a Lubricant between two non-paraUel rigid surfaces in relative motion is a particular case of viscous compressibLe fluid flow under restrictive conditions. MathematicalLy, this physical phenomenon is governed by Reynolds equation which is a non-linear partial di f ferent iai equation of parabolic type. Closed form solutions are rare, excepting special cases, usually of a simplified problem. Previous numerical solutions have mainly used the method of finite differences but recent studies have employed the finite element method to solve the time-independent Reynolds equation. However, as for the time-dependent case, it appears this is the first ever attempt to use the Galerkin finite element technique to solve the transient Reynolds equation. As such, hopefully, a small claim of originality in présentât ion of the solution technique is justified.
Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.