Abstract
The combined effects of radiation and mass transfer on a steady MHD two-dimensional Marangoni convection flow over a flat surface in presence of Joule heating and viscous dissipation under influence of suction and injection is studied numerically. The general governing partial differential equations are transformed into a set of nonlinear ordinary differential equations by using unique similarity transformation. Numerical solutions of the similarity equations are obtained using the Runge-Kutta method along with shooting technique. The effects of governing parameters on velocity, temperature, and concentration as well as interface velocity, the surface temperature gradient, and the surface concentration gradient were presented in graphical and tabular forms. Comparisons with previously published work are performed and the results are found to be in excellent agreement.
Highlights
In recent years, many researchers have investigated the Marangoni convection and applied such convection to their problems
Nishino and Kawamura [1] stated that Marangoni convection negatively affects the quality of silicon crystals for semiconductors and the convection occurs in heat pipe for heat radiation devices of personal computers
The effects of viscous dissipation and Joule heating are usually characterized by the Eckert number and the product of the Eckert number and magnetic parameter, respectively, and both have a very important part in geophysical flow and in nuclear engineering that was studied by Alim et al [16], the effects of suction or injection on boundary layer flow have a huge influence over the engineering application and have been widely investigated by numerous researchers
Summary
Many researchers have investigated the Marangoni convection and applied such convection to their problems. The effects of viscous dissipation and Joule heating are usually characterized by the Eckert number and the product of the Eckert number and magnetic parameter, respectively, and both have a very important part in geophysical flow and in nuclear engineering that was studied by Alim et al [16], the effects of suction or injection on boundary layer flow have a huge influence over the engineering application and have been widely investigated by numerous researchers. The object of the present paper is to analyze the combined effects of radiation and mass transfer on steady MHD laminar Marangoni convection boundary layer flow of an electrically conducting fluid past a flat surface, by taking Joule heating and viscous dissipation under influence of suction or injection. The comparison results show a good agreement and we are confident that our present numerical results are accurate
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