Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection

doi:10.1088/1674-1056/23/9/090203

Abstract The theoretic transformation group approach is applied to address the problem of unsteady boundary layer flow of a non-Newtonian fluid near a stagnation point with variable viscosity and thermal conductivity. The application of a two-parameter group method reduces the number of independent variables by two, and consequently the governing partial differential equations with the boundary conditions transformed into a system of ordinary differential equations with the appropriate corresponding conditions. Two systems of ordinary differential equations have been solved numerically using a fourth-order Runge-Kutta algorithm with a shooting technique. The effects of various parameters governing the problem are investigated.

Keywords: non-Newtonian fluid stagnation point two-parameter group method variable viscosity

Received: 28 October 2013
Revised: 28 March 2014
Accepted manuscript online:

PACS:	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	02.60.Cb	(Numerical simulation; solution of equations)
	31.15.xh	(Group-theoretical methods)
	44.2.+b

Corresponding Authors: Abeer S. Elfeshawey
E-mail: abeer_elfeshawey@yahoo.com

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H. M. El-Hawary, Mostafa A. A. Mahmoud, Reda G. Abdel-Rahman, Abeer S. Elfeshawey Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection 2014 Chin. Phys. B 23 090203

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Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection

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