Thermal decomposition of unsteady non-Newtonian MHD Couette flow with variable properties. Issue 2 (2nd March 2015)

• Record Type: Journal Article
• Authors: Makinde, Daniel Oluwole; Franks, Oswald
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 25:Issue 2(2015)
• Page Start: 252
• Page End: 264
• Publication Date: 2015-03-02
• Subjects: Magnetic field -- Thermal stability -- Finite difference technique -- Third grade fluid -- Unsteady Couette flow -- Variable properties; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-12-2013-0342
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: – 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. Design/methodology/approach: – 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. Findings: – 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. Originality/value: – 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.