Hydromagnetic Squeeze Films between Porous Rectangular Plates with Couplestress Fluids

Abstract

The theoretical investigation made in this paper is to study the effect of transverse magnetic field on the performance characteristics of porous squeeze film lubrication between two rectangular plates with couplestress fluids. A most general modified Reynolds equation is derived using Stokes constitutive equations for couplestress fluids. The fluid in the film region and in the porous region has been modeled as a couplestress fluid. The analysis takes into account velocity slip at the porous interface using Beavers-Joseph criterion. A closed-form expression for pressure, load carrying capacity and squeeze film time are obtained. The results are presented for different operating parameters. It is observed that effect of couplestresses on the MHD squeeze film lubrication between porous rectangular plates is to increase the load carrying capacity significantly and to delay the time of approach as compared to the corresponding non-magnetic case and Newtonian case.

Keywords

• squeeze film
• porous
• rectangular plates
• couplestress fluid
• magnetic field