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Effect of Porosity and Magnetic Field Dependent Viscosity on Revolving Ferrofluid Flow in the Presence of Stationary Disk

Anupam Bh,ari1, Vipin Kumar2
Department of Mathematics, College of Engineering Studies University of Petroleum and Energy Studies, Dehradun, India. E-mail: pankaj.anupam6@gmail.com
Department of Mathematics, College of Engineering Studies University of Petroleum and Energy Studies, Dehradun, India. E-mail: deshwal.vipin@gmail.com

Fluid Dynamics & Materials Processing 2014, 10(3), 359-375. https://doi.org/10.3970/fdmp.2014.010.359

Abstract

The purpose of this paper is to study the flow characteristics of a ferrofluid revolving through a porous medium with a magnetic-field-dependent viscosity in the presence of a stationary disk. A Finite Difference Method is employed to discretize the set of nonlinear coupled differential equations involved in the problem. The discretized nonlinear equations, in turn, are solved by a Newton method (using MATLAB) taking the initial guess with the help of a PDE Solver. Results displayed in graphical form are used to assess the effect of the variable viscosity and porosity parameters on the velocity components. The displacement thickness of the boundary layer is also calculated for different values of these parameters by the Simpson’s three-eight’s rule of numerical integration. Further, the skin friction coefficients in the tangential and radial direction are determined.

Keywords

MFD viscosity, porosity, boundary layer, ferrofluid, finite difference method, displacement thickness, shear stress.

Cite This Article

Bh,ari, A., Kumar, V. (2014). Effect of Porosity and Magnetic Field Dependent Viscosity on Revolving Ferrofluid Flow in the Presence of Stationary Disk. FDMP-Fluid Dynamics & Materials Processing, 10(3), 359–375.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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