Title: Jenkins model based ferrofluid lubrication of a squeeze film in rough curved circular plates considering slip velocity
Authors: Jimit R. Patel; G.M. Deheri
Addresses: Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology, Changa, Anand – 388421, Gujarat, India ' Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, 388120, Gujarat, India
Abstract: An attempt has been made to study and analyse the combined effect of roughness and slip velocity on the performance of a Jenkins model based magnetic squeeze film in curved rough circular plates taking velocity slip into account. The curvatures of both the plates are described by exponential functions. The stochastic model of Christensen and Tonder has been used to evaluate the effect of surface roughness. The associated stochastically averaged Reynolds type equation has been solved to obtain the pressure distribution leading to the computation of load carrying capacity. The graphical representations of the solution reveal that although Jenkins model modifies the performance as compared to Neuringer-Rosensweig model, the magnetisation may not go too far in reducing the adverse effect of slip velocity and standard deviation associated with roughness because the material constant parameter brings down the load carrying capacity. However, the situation is fairly improved in the case of negatively skewed roughness particularly, when variance (-ve) is involved. This article also ensures that by keeping the slip parameter at minimum and choosing the curvature parameters the magnetic fluid lubrication may lead to an augmented performance.
Keywords: curved circular plates; roughness; Jenkins model; magnetic fluid; slip velocity.
International Journal of Theoretical and Applied Multiscale Mechanics, 2018 Vol.3 No.2, pp.99 - 115
Received: 19 Feb 2015
Accepted: 08 Apr 2015
Published online: 22 Nov 2018 *