Effect of temperature dependent viscosity on revolving axi-symmetric ferrofluid flow with heat transfer

P. RAM;V. KUMAR

doi:10.1007/s10483-012-1634-8

Applied Mathematics and Mechanics >

2012 , Vol. 33 >Issue 11: 1441 - 1452

DOI: https://doi.org/10.1007/s10483-012-1634-8

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Effect of temperature dependent viscosity on revolving axi-symmetric ferrofluid flow with heat transfer

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Department of Mathematics, National Institute of Technology, Kurukshetra, Haryana 136119, India

Received date: 2011-11-08

Revised date: 2012-07-11

Online published: 2012-11-10

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Abstract

The prime objective of the present study is to examine the effect of temperature dependent viscosity μ(T) on the revolving axi-symmetric laminar boundary layer flow of an incompressible, electrically non-conducting ferrofluid in the presence of a stationary plate subjected to a magnetic field and maintained at a uniform temperature. To serve this purpose, the non-linear coupled partial differential equations are firstly converted into the ordinary differential equations using well-known similarity transformations. The popular finite difference method is employed to discretize the non-linear coupled differential equations. These discretized equations are then solved using the Newton method in MATLAB, for which an initial guess is made with the help of the Flex PDE Solver. Along with the velocity profiles, the effects of temperature dependent viscosity are also examined on the skin friction, the heat transfer, and the boundary layer displacement thickness. The obtained results are presented numerically as well as graphically.

Key words： ferrofluid; temperature dependent viscosity; boundary layer; axi-symmetry; magnetic field; gas particle two-phase flow; round jet; large vortex stucture; particle dispersion

Cite this article

P. RAM;V. KUMAR . Effect of temperature dependent viscosity on revolving axi-symmetric ferrofluid flow with heat transfer[J]. Applied Mathematics and Mechanics, 2012 , 33(11) : 1441 -1452 . DOI: 10.1007/s10483-012-1634-8

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