Homotopy perturbation method for analysis of squeezing axisymmetric flow of Newtonian fluid under the effects of slip and magnetic field

Sobamowo, Gbeminiyi and Alaribe, K. C. and Yinusa, A. (2018) Homotopy perturbation method for analysis of squeezing axisymmetric flow of Newtonian fluid under the effects of slip and magnetic field. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 13 (1-2). pp. 53-67. ISSN 1586-2070

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Abstract

In this paper, a steady two-dimensional axisymmetric flow of an incompressible viscous fluid under the influence of a uniform transverse magnetic field with slip boundary condition is studied. Using suitable similarity variables, the developed nonlinear partial differential equation of the flow phenomena is converted to a nonlinear ordinary differential equation which is solved analytically using homotopy perturbation method. By comparing the results of approximate analytical methods in this work with the results of numerical method using Runge-Kutta coupled with shooting method, the verification and the accuracy of approximate analytical solution are established. Thereafter, through the developed analytical solutions, the effects of pertinent flow, magnetic field and slip parameters on the steady two-dimensional axisymmetric flow of the viscous fluid are investigated, graphically illustrated and discussed. It is observed from the results that the velocity of the fluid increases with increase in the magnetic parameter under slip condition while the velocity decreases with increase in the magnetic field parameter under the no slip condition. By increasing the slip parameter, the velocity of the fluid increases and the fluid velocity decrease as the Reynolds number increases. It is hoped that this study will enhance and advance the understanding of axisymmetric squeezing flow of viscous fluid under no-slip and slip conditions.

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