• DERIVATION OF MODIFIED MHD-STOCHASTIC REYNOLDS EQUATION WITH CONDUCTING COUPLESTRESS FLUID ON THE SQUEEZE FILM LUBRICATION OF POROUS ROUGH ELLIPTICAL PLATES

Abstract

The surface roughness effects on the squeeze film characteristics of porous elliptical plates with combined effect of conducting couplestress fluid (CCSF) and transverse magnetic field is analysed. Based upon the Christensen’s Stochastic model, the MHD-Stochastic Reynolds-type equation is derived to take account of the presence of CCSF and MHD in the presence of roughness. The closed form expressions are obtained for the MHD squeeze film pressure, load carrying capacity and squeeze film time. The results are presented for different values of operating parameters. It is observed, that the combined effect of surface roughness and transverse magnetic field on the squeeze film lubrication between porous elliptical plates with CCSF is to increase the load carrying capacity significantly and to delay squeeze film time as compared to corresponding Non-conducting Newtonian fluid (NCNF).