Shliomis Model Based Ferrofluid Lubrication of Squeeze Film in Rotating Rough Curved Circular Disks with Assorted Porous Structures

Jimit R. Patel^1, and Gunamani Deheri¹

¹Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, India

Cite this paper:
Jimit R. Patel and Gunamani Deheri. Shliomis Model Based Ferrofluid Lubrication of Squeeze Film in Rotating Rough Curved Circular Disks with Assorted Porous Structures. American Journal of Industrial Engineering. 2013; 1(3):51-61. doi: 10.12691/ajie-1-3-3

Abstract

An endeavour has been made to analyze the effect of various porous structures on the performance of a Shliomis model based ferrofluid lubrication of a squeeze film in rotating rough porous curved circular plates. Employing the method of Christensen and Tonder’s stochastic model, the roughness has been characterized by a stochastic random variable. Kozeny- Carman’s model and Irmay’s model for porous structures are adopted. The associated stochastically averaged Reynolds type equation has been numerically solved to obtain the pressure distribution and thus, paving the way for the calculation of load carrying capacity. The results indicate that Shliomis model based ferrofluid lubrication turns in a relatively enhanced performance as compared to Neuringer- Rosensweig model at least in the case of Kozeny- Carman’s model. This investigation underlines that for the improvement in bearing performance the Kozeny- Carman’s model needs to be preferred from design point of view. By suitably choosing curvature parameters and rotational inertia, the adverse effect of transverse roughness can be overcome by the positive effect of ferrofluid lubrication in the case of negatively skewed roughness when Kozeny- Carman’s model is deployed.

Keywords:
curved circular plates squeeze film roughness magnetic fluid Rotation porous structures

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