Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated

The determinative objective of this research is to theoretically examine MHD steady flow of the non-Newtonian Maxwell fluid due to a stretching sheet that is embedded in a porous medium with the case of convective boundary condition. The current detailed examination separately highlights the internal heat generation, viscous dissipation, variable conductivity and variable viscosity processes and their effects on evaluating the temperature distribution. Attention was especially concentrated on how to introduce similar solution for our problem which was achieved via our paper. Utilizing an efficient shooting method, the numerical solution for the coupled highly nonlinear ordinary differential equations describing the velocity and temperature is introduced. Accordingly, the important influence of all controlling parameters such as magnetic parameter, Maxwell parameter, Eckert number, the surface-convection parameter and viscosity parameter on the fluid flow becomes evident through diagrams. Further, to explain the present problem more comprehensively and clearly, both the local skin-friction coefficient and the local Nusselt number are discussed. Additionally, there is a noticeable good degree of internal consistency for the numerical results with early published data. Crown Copyright (C) 2021 Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation (IMACS). All rights reserved.

Automated summary

The research focuses on the theoretical analysis of MHD steady flow of non-Newtonian Maxwell fluid due to a stretching sheet in a porous medium with convective boundary condition. Internal heat generation, viscous dissipation, variable conductivity, and variable viscosity processes are examined for their effects on temperature distribution. By introducing similar solution and utilizing a numerical method, the study sheds light on the impact of controlling parameters on fluid flow, with discussions on local skin-friction coefficient and local Nusselt number for a comprehensive explanation of the problem.