A boundary element formulation for thermohydrodynamic lubrication problem
Abstract
An approach to modeling thermohydrodynamic lubrication is presented beginning with formulation of equivalent integral equations that give the velocity, pressure, and temperature distribution in the flow domain and its boundary. The features pertinent to the lubrication field are then introduced into the model by creating specialized modules that handle the numerical integration or that calculate appropriate boundary conditions. This paper presents an all direct integral equation formulation and numerical solution of the complete equations that are fully compatible with the assumption of incompressible thermoviscous flow of a Newtonian fluid used in lubrication theory. The use of the boundary element method (BEM) permits a natural approach in modeling such a surface phenomena as lubrication. In the present implementation, an isoparametric quadratic boundary elements formulation is used and conforming as well as nonconforming elements are utilized as required by the geometric features of each domain. Specialized polynomial transformations are employed to handle the different kinds of singularities.
 Publication:

13th Canadian Congress of Applied Mechanics
 Pub Date:
 May 1991
 Bibcode:
 1991ccam.proc..640G
 Keywords:

 Boundary Element Method;
 Hydrodynamics;
 Integral Equations;
 Lubrication;
 Mathematical Models;
 Thermodynamics;
 Flow Distribution;
 Pressure Distribution;
 Temperature Distribution;
 Velocity;
 Mechanical Engineering