Abstract
In this paper, the magnetohydrodynamic (MHD) axisymmetric stagnation-point flow of an unsteady and electrically conducting incompressible viscous fluid in with temperature dependent thermal conductivity, thermal radiation and Navier slip is investigated. The flow is due to a shrinking surface that is shrunk axisymmetrically in its own plane with a linear velocity. The magnetic field is imposed normally to the sheet. The model equations that describe this fluid flow are solved by using the spectral relaxation method. Here, heat transfer processes are discussed for two different types of wall heating; (a) a prescribed surface temperature and (b) a prescribed surface heat flux. We discuss and evaluate how the various parameters affect the fluid flow, heat transfer and the temperature field with the aid of different graphical presentations and tabulated results.
Highlights
The study of an unsteady fluid flow toward a stretching/shrinking sheet has great importance due to its various applications in science and engineering
The temperature gradient in the prescribed surface temperature (PST) case and the wall temperature in the prescribed wall heat flux (PHF) case decrease with increases in the thermal conductivity parameter
We observe that j−θ0(0)j and j g(0) j decrease as α increases in both the PST and the PHF cases
Summary
The study of an unsteady fluid flow toward a stretching/shrinking sheet has great importance due to its various applications in science and engineering. Some often given examples in this regard include metal rolling, drawing and pultrusion. Heat transfer in such flows with both constant and variable wall temperature was investigated by Gupta and Gupta [1] and investigated by Carragher and Crane [2]. MHD free convection of unsteady flow in a porous medium with Newtonian heating and constant mass diffusion was studied by Hussanan [7]. Pavlov [8] studied exact similarity solution of the steady two-dimensional boundary layer flow equations in presence of magnetic field of an electrically conducting fluid due to the stretching of an elastic
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