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Thermal decomposition of unsteady non-Newtonian MHD Couette flow with variable properties

Daniel Oluwole Makinde (Faculty of Military Science, Stellenbosch University, Saldanha, South Africa)
Oswald Franks (Faculty of Engineering, Built Environment and Information Technology, Nelson Mandela Metropolitan University, Port Elizabeth, South Africa)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 2 March 2015




The purpose of this paper is to investigate the unsteady magnetohydrodynamic (MHD) Couette flow of an electrically conducting incompressible non-Newtonian third grade reactive fluid with temperature-dependent variable viscosity and thermal conductivity properties under isothermal surface conditions.


The coupled non-linear partial differential equations for momentum and energy balance governing the transient problem are obtained and tackled numerically using a semi-discretization finite difference technique.


The effects of various embedded thermophysical parameters on the velocity and temperature fields including skin friction, Nusselt number and thermal stability conditions are presented graphically and discussed quantitatively.

Practical implications

The approach is applicable to modelling the complex physical phenomenon in MHD lubrications that occurs in numerous areas of engineering and industrial processes.


This paper may be of industrial and engineering interest especially in understanding the combined effects of unsteadiness, variable thermophysical properties and magnetic field on the thermal stability condition for a reactive non-Newtonian third grade fluid under Couette flow scenario.



Makinde, D.O. and Franks, O. (2015), "Thermal decomposition of unsteady non-Newtonian MHD Couette flow with variable properties", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 2, pp. 252-264.



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