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A Comparison of Magnetic Fluid Flow Models on the Behavior of a Ferrofluid Squeeze Film in Curved Rough Porous Circular Plates Considering Slip Velocity

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Abstract

This study aims to present a comparison of all the three magnetic fluid flow models (Neuringer–Rosensweig model, Shliomis model, Jenkins model) regarding the behaviour of a ferrofluid based curved rough porous circular squeeze film with slip velocity. The Beaver’s and Joseph’s slip model has been adopted to evaluate the effect of slip velocity. Further, the stochastic model of Christensen and Tonder has been used to study the effect of surface roughness. The concerned stochastically averaged Reynolds type equation is solved with appropriate boundary conditions to get the pressure distribution lead thus leading to the calculation of load carrying capacity. The graphical representations ensure that Shliomis model may be preferred for designing the bearing system with enhanced life period. However, for lower to moderate values of slip even Neuringer–Rosensweig model may be adopted. In addition, when the slip is at minimum the Jenkin’s model may be deployed when the roughness is at lower level.

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Acknowledgements

The authors acknowledge with thanks the in depth comments and fruitful suggestions of the reviewers and the editor.

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Authors and Affiliations

  1. Department of Mathematical Sciences, P D Patel Institute of Applied Sciences, Charotar University of Science and Technology, Changa, Anand, Gujarat, 388421, India

    Jimit R. Patel

  2. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, 388120, India

    G. M. Deheri

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  1. Jimit R. Patel
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  2. G. M. Deheri
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Correspondence to Jimit R. Patel.

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Patel, J.R., Deheri, G.M. A Comparison of Magnetic Fluid Flow Models on the Behavior of a Ferrofluid Squeeze Film in Curved Rough Porous Circular Plates Considering Slip Velocity. Iran J Sci Technol Trans Sci 42, 2053–2061 (2018). https://doi.org/10.1007/s40995-017-0365-z

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