MHD flow and conductive heat transfer on a permeable stretching cylinder: Benchmark solutions

Abstract

Research is conducted on parametric heat transfer and fluid flow solutions under the influencing factors of the porous stretching cylinder, magnetic field, curvature, permeable media, radiation, Joule heating, viscous dissipation, and heat generation/absorption. High non-linear coupled PDEs are solved and result in high non-linear coupled ODEs. The confluent hypergeometric function solves the energy equation with the PHF (prescribed heat flux) boundary condition. An analysis of physical parameters' effects is presented as tables and figures. According to the results, the variation of radiation parameters and Eckert numbers for the local Nusselt number in the injection area is negligible, while the variation of the heat source/sink parameters is considerable. The suction/injection and curvature parameters directly affect the local skin friction coefficient and Nusselt number. The porous stretching cylinder has a higher skin friction coefficient and heat transfer rate when compared to the porous stretching sheet.