Numerical modeling of MHD micropolar fluid flow and melting heat transfer under thermal radiation and Joule heating

Abstract

The purpose of this paper is to discuss the melting heat transfer and flow of a micropolar fluid due to an exponentially stretching sheet, analogous to ordinary fluid. The impacts of slip parameter, viscous dissipation, Joule heating, heat source, and thermal radiation are anticipated. The transport of heat, momentum, and angular momentum is expressed mathematically using a set of partial differential equations (PDEs). The PDEs are turned into a set of dimensionless ordinary differential equations by employing similarity variables adequately and interpreted numerically utilizing a well-known computer language in-built software bvp4c solver in MATLAB. It is noticed that the impacts of several parameters (Prandtl number, Eckert number, magnetic, heat generation parameters, etc.) on physical quantities and flow fields (velocity, temperature, and microrotation profiles) are remarkable and which are exhibited graphically and discussed in details. It is detected that, by enhancing the melting parameter, the microrotation profile appears to be dwindling near the wall; however, it is eventually lifted. Increasing the slip parameter depletes the velocity and microrotation fields, whereas it has reverse effect on the thermal field. Moreover, the thermal field is positively affected by viscous dissipation and heat generation, but slightly more enhancement has been seen for ordinary fluid compared to micropolar fluid.