Title: Shliomis model-based magnetic squeeze film in rotating rough curved circular plates: a comparison of two different porous structures

Authors: Jimit R. Patel; Gunamani Deheri

Addresses: Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, 388120, India ' Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, 388120, India

Abstract: This study aims to analyse the effect of different porous structures on the performance of a Shliomis model-based magnetic squeeze film in rotating rough porous curved circular plates. For porous structures Kozeny-Carman's formulation and Irmay's model have been adopted. A Shliomis model-based magnetic fluid flow is considered. The stochastically averaging models of Christensen and Tonder have been used for characterising the effect of transverse roughness. The associated stochastically averaged Reynolds type equation is solved to obtain the pressure distribution leading to the calculation of the load carrying capacity. The results presented in graphical form show that the adverse effect of transverse roughness can be compensated by the positive effect of magnetisation in the case of negatively skewed roughness, suitably choosing the rotation ratio and the curvature parameters. Further, this compensation appears to be more in the case of Kozeny-Carman's formulation as compared to that of Irmay's model, which makes the Kozeny-Carman's model a superior choice.

Keywords: porous structures; magnetic fluids; curved circular plates; magnetic squeeze film; transverse roughness; rotation; fluid flow.

DOI: 10.1504/IJCMSSE.2014.063760

International Journal of Computational Materials Science and Surface Engineering, 2014 Vol.6 No.1, pp.29 - 49

Received: 12 Dec 2013
Accepted: 22 Apr 2014
Published online: 30 Jul 2014 *

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