Open Access

ARTICLE

Heat Transfer in FHD Boundary Layer Flow with Temperature Dependent Viscosity over a Rotating Disk

Paras Ram^1,2, Vikas Kumar³

1 Department of Mathematics, National Institute of Technology Kurukshetra 136119, Haryana, India. Email: parasram_nit@yahoo.co.in
2 Corresponding Author.
3 Department of Mathematics, National Institute of Technology Kurukshetra 136119, Haryana, India, Email: vksingla.nitkkr@yahoo.com

Fluid Dynamics & Materials Processing 2014, 10(2), 179-196. https://doi.org/10.3970/fdmp.2014.010.179

Abstract

The present study is carried out to examine the effects of temperature dependent variable viscosity on the three dimensional steady axi-symmetric Ferrohydrodynamic (FHD) boundary layer flow of an incompressible electrically nonconducting magnetic fluid in the presence of a rotating disk. The disk is subjected to an externally applied magnetic field and is maintained at a uniform temperature. The nonlinear coupled partial differential equations governing the boundary layer flow are non dimensionalized using similarity transformations and are reduced to a system of coupled ordinary differential equations. To study the effects of temperature dependent viscosity on velocity profiles and temperature distribution within the generated boundary layer, solution of the problem is obtained by employing Finite Difference and Shooting methods, subsequently. Beside the flow profiles, skin friction coefficients, rate of heat transfer at the wall and the boundary layer displacement thickness are also calculated. All of the obtained results are validated, and discussed quantitatively and through graphs giving their physical interpretations.

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Keywords

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