Numerical modelling of Shliomis model based ferrofluid lubrication performance in rough short bearing

Abstract

This paper has attempted to scrutinize the bearing performance of a rough short bearing assisted by a ferrofluid with the help of numerical modelling of the Shliomis model. The transverse roughness is calculated stochastically by averaging the Christensen and Tonder models. A non-zero mean is assumed for the probability density function for the random variable that determines the roughness of the bearing which is symmetrical. This attempt is made to create a more pragmatic and applicable situation. Expressions that can signify a dimensionless form of pressure and bearing load carrying capacity are found using Reynolds' equation. The load carrying capacity equation is then solved numerically with the help of Simpson's 1/3 rule to analyze the impact on the bearing system. From the graphical representation, it can be concluded that ferrofluid lubrication based on the Shliomis model can significantly neutralize the negative effects of the bearing roughness on its load carrying capacity.

Structural Design and Lubrication Properties under Different Eccentricity of Magnetic Fluid Bearings

“…According to the rotational viscosity theory of Shliomis [26,27] and Langevin's theory, the relationship between the incremental viscosity ∆η h of the magnetic fluid and the viscosity of the base carrier fluid is given by:…”