We examine the influence of variable viscosity and thermal conductivity on MHD flow of heat transfer over a stretching/shrinking sheet. By using similarity transformation, the governing flow equations and boundary conditions are transformed into ordinary differential equations which are then solved by using MATLAB BVP4C solver. The impact of various parameters such as magnetic parameter, viscosity parameter, thermal radiation, melting heat, Eckert number, Prandtl number on flow velocity and heat diffusion is shown in respective graphs. Moreover, we analyze the behaviour of the coefficient of Nusselt number and skin friction. It is observed that for higher melting value, the rate of heat transfer is higher. Hence, heat is diffused from lower to higher melting heat transfer. We also observe that shrinking operation makes the fluid temperature warmer than stretching operation. This study has several applications in many industries such as in metal and polymer extrusion, and cooling process in nuclear plant.

thermal radiation, viscous dissipation, melting heat transfer, magnetic field parameter, viscosity parameter

Received: December 6, 2023; Accepted: February 6, 2024; Published: March 14, 2024

How to cite this article: Riken Kaye and Sahin Ahmed, Melting heat transfer and variable viscosity of a hydromagnetic flow over a stretching/shrinking sheet: numerical approach, JP Journal of Heat and Mass Transfer 37(2) (2024), 185-199.
http://dx.doi.org/10.17654/0973576324013

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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