Three-dimensional magnetohydrodynamics axisymmetric stagnation flow and heat transfer due to an axisymmetric shrinking/stretching sheet with viscous dissipation and heat source/sink

doi:10.1088/1674-1056/23/7/074701

Abstract The present work is concerned with the effects of viscous dissipation and heat source/sink on a three-dimensional magnetohydrodynamic boundary layer axisymmetric stagnation flow, and the heat transfer of an electrically conducting fluid over a sheet, which shrinks or stretches axisymmetrically in its own plane where the line of the symmetry of the stagnation flow and that of the shrinking (stretching) sheet are, in general, not aligned. The governing equations are transformed into ordinary differential equations by using suitable similarity transformations and then solved numerically by a shooting technique. This investigation explores the conditions of the non-existence, existence and uniqueness of the solutions of the similar equations numerically. It is noted that the range of the velocity ratio parameter, where the similarity solution exists, is increased with the increase of the value of the magnetic parameter. Furthermore, the study reveals that the non-alignment function affects the shrinking sheet more than the stretching sheet. In addition, the numerical results of the velocity profile, temperature profile, skin-friction coefficient, and rate of heat transfer at the sheet are discussed in detail with different parameters.

Keywords: axisymmetric shrinking/stretching sheet stagnation-point flow magnetic effect heat transfer

Received: 13 September 2013
Revised: 20 November 2013
Accepted manuscript online:

PACS:	47.15.Cb	(Laminar boundary layers)
	47.65.-d	(Magnetohydrodynamics and electrohydrodynamics)
	44.20.+b	(Boundary layer heat flow)

Fund: Project supported by the C.S.I.R., India in the form of Junior Research Fellowship (JRF) (Grant No. 09/149(0593) /2011-EMR-I).

Corresponding Authors: Dinesh Rajotia, R. N. Jat
E-mail: rajotia.dinesh@gmail.com;khurkhuria_rnjat@yahoo.com

About author: 47.15.Cb; 47.65.-d; 44.20.+b

Cite this article:

Dinesh Rajotia, R. N. Jat Three-dimensional magnetohydrodynamics axisymmetric stagnation flow and heat transfer due to an axisymmetric shrinking/stretching sheet with viscous dissipation and heat source/sink 2014 Chin. Phys. B 23 074701

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Three-dimensional magnetohydrodynamics axisymmetric stagnation flow and heat transfer due to an axisymmetric shrinking/stretching sheet with viscous dissipation and heat source/sink

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