Effect of magnetic field and slip velocity on the performance of bearings lubricated by couple stress fluid on long cylinder and infinite plate — A theoretical analysis

Author:

Vinutha R.1ORCID,Hanumagowda B. N.2ORCID,Vasanth K. R.3ORCID

Affiliation:

1. Department of Mathematics, REVA Independent PU College, Bangalore 560094, Karnataka, India

2. Department of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064 Karnataka, India

3. Nitte (Deemed to be University), Department of Mathematics, N. M. A. M. Institute of Technology, NITTE 574110, Karkala, Karnataka, India

Abstract

In this research, the combined effect of magnetohydrodynamics (MHD) and slip velocity on squeeze film lubrication of long cylinders and infinite plates with couple stress fluid has been studied. Combining the Stokes couple stress theory and the Lorentz force theory yields analytical solutions for the modified Reynolds equation. Using the Reynolds equation, the mathematical expressions for squeeze film pressure, load-carrying capacity and squeeze film time are obtained. The pressure, load carrying capacity and squeeze film time increase with the combined effect of MHD, couple stress fluids and slip velocity.

Publisher

World Scientific Pub Co Pte Ltd

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