Abstract
The steady stagnation-point flow and heat transfer of an electrically conducted incompressible viscous fluid are extended to the case where the disk surface is convectively heated and radially stretching. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. The governing momentum and energy balance equations give rise to nonlinear boundary value problem. Using a spectral relaxation method with a Chebyshev spectral collocation method, the numerical solutions are obtained over the entire range of the physical parameters. Emphasis has been laid to study the effects of viscous dissipation and Joule heating on the thermal boundary layer. Pertinent results on the effects of various thermophysical parameters on the velocity and temperature fields as well as local skin friction and local Nusselt number are discussed in detail and shown graphically and/or in tabular form.
Highlights
The study of boundary layer flow over stretching sheet has been a subject of great interest due to its applications in designing cooling systems such as liquid metals, MHD generators, pumps, and flow meters
This work is a worthwhile attempt to study the effects of convective heating, viscous dissipation, and Joule heating on the stagnation-point flow and heat transfer of an electrically conducted fluid towards a radially stretching disk
The accuracy of the spectral relaxation method (SRM) is validated against the MATLAB in-built bkp4c routine for solving boundary value problems
Summary
The study of boundary layer flow over stretching sheet has been a subject of great interest due to its applications in designing cooling systems such as liquid metals, MHD generators, pumps, and flow meters. Hayat et al [5] investigated flow and heat transfer in second grade fluid over a stretching sheet subjected to convective boundary conditions. Shateyi and Motsa [6] numerically analysed variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect. Makinde and Sibanda [7] investigated the effects of chemical reaction on boundary layer flow past a vertical stretching surface in the presence of internal heat generation. Ashraf and Batool [8] carried out a numerical study of an axisymmetric steady laminar incompressible flow from an electrically conducted micropolar fluid over a stretching disk
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