Delineating impact of viscous dissipation and non-uniform heat source/sink on viscous fluid flow towards a stretching surface

Abstract

The proposed model is applicable to a wide range of engineering and technological activities, including polymer manufacturing, chemical production, nuclear energy, electronics, and aerodynamics. The current work is being performed as a result of such applications. This paper deals with the mechanism of heat transport in magnetohydrodynamics flow of an electrically conducting viscous fluid along with a permeable stretching sheet. Further, an analysis has been carried out to discuss the effects of Ohmic heating, viscous dissipation, and non-uniform heat source/sink near the stagnation point. Implementing similarity transformations, the governing boundary-layer equations corresponding to the momentum and energy are reduced to a set of self-similar non-linear ordinary differential equations and then solved numerically by using the shooting technique. The influence of pertinent parameters on dimensionless velocity, temperature distribution, skin friction coefficient, and local Nusselt number are displayed graphically and the physical aspects are discussed comprehensively. It is worthy to note that higher values of Hartmann number and velocity ratio parameter enhance the velocity profiles. Moreover, the heat transfer rate is decreased by Eckert number, and reverse behavior is seen for Prandtl number. Comparisons are made with previously published studies, and the results are found to be very similar.

Keywords

Viscous dissipation magnetohydrodynamics flow non-uniform heat source/sink shooting method stretching sheet

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