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2015, vol. 43, iss. 2, pp. 144-153
Jenkins model based magnetic squeeze film in curved rough circular plates considering slip velocity: A comparison of shapes
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India
An endeavour has been made to compare the performance of a Jenkins model based magnetic squeeze film in curved rough circular plates considering slip velocity for different shapes of the surfaces. Three different shapes (exponential, hyperbolic, secant) have been taken for comparison. Beavers and Joseph's slip model has been considered to analyze the effect of slip. The statistical averaging model of Christensen and Tonder has been adopted to study the effect of surface roughness. The concerned generalized Reynolds type equation is solved to obtain pressure distribution leading to the calculation of load carrying capacity. The results presented in graphical forms establish that Jenkins model modifies the performance in the case of Neuringer-Rosensweig model. The Jenkins model based ferrofluid lubrication moves to a certain extent in reducing the adverse effect of roughness and slip velocity. The extent is more in the case of exponential shape. It is interesting to note that for the exponential shape the combined effect of magnetism and negatively skewed roughness is relatively more, even for higher values of slip parameter.
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