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Effects of viscous dissipation over an unsteady stretching surface embedded in a porous medium with heat generation and thermal radiation

Falana Ayodeji, Owoeye Samuel Oluyemi, Yussouff Abiodun Abideen, Mumuni Quadri Ademola

International Journal of Applied Mechanics and Engineering

2024

Vol. 29, no. 3

17--31

This work analyzes the impact of viscous dissipation on an unstable stretching surface in a porous medium with heat generation and thermal radiation—an important factor for numerous engineering applications like cooling baths and plastic sheets. Using MATLAB's Runge-Kutta fourth-order approach, the controlling partial differential equations are converted into highly nonlinear ordinary differential equations that can be solved numerically. The findings show that a decrease in the skin friction coefficient, temperature profiles, velocity, and Nusselt number occurs when the unsteadiness parameter is increased. In contrast to the Prandtl number, which rises with temperature profile and reduced Nusselt number, the Eckert number rises with a dimensionless temperature profile and reduced Nusselt number. Reduced Nusselt number and temperature profile affect the heat generation parameter; a decrease in skin friction coefficient and velocity profile correlate with the porosity parameter. Furthermore, the radiation parameter rises as the temperature distribution and Nusselt number decrease.

Heat transfer in a liquid film over an unsteady stretching surface with the effects of viscous dissipation, thermal radiation and non-uniform heat source in the presence of external magnetic field

Abel. M. S., Tawade J. V.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 4

967-992

This paper presents a mathematical analysis of an MHD flow and heat transfer to a laminar liquid film from a horizontal stretching surface. The flow of a thin fluid film and subsequent heat transfer from the stretching surface is investigated with the aid of similarity transformation. The transformation renders it possible to reduce the unsteady boundary layer equations to a system of non-linear ordinary differential equations. A numerical solution of the resulting nonlinear differential equations which agrees well with the analytic solution, is obtained by the efficient shooting technique. The effects of boundary layer thickness on various physical parameters such as the unsteadiness parameter S and magnetic parameter Mn, Prandtl number Pr, Eckert number Ec, thermal radiation parameter Nr and non-uniform heat source/sink parameters which determine the temperature profiles, the heat transfer coefficient are tabulated and plotted in figures. It is shown that the heat fluxes from the liquid to the elastic sheet decreases with S for […] and increases with S for […]. Some important findings reported in this work reveal that the combined effect of thermal radiation and non-uniform heat source have significant impact on controlling the rate of heat transfer in the boundary layer region.