MHD micropolar fluid flow over a stretching/shrinking sheet with dissipation of energy and stress work considering mass transpiration and thermal radiation

Abstract

An inclined MHD (Magnetohydrodynamics) micropolar fluid flow due to stretching/shrinking sheet in the presence of mass transpiration and thermal radiation is examined in the present analysis. The governing non-linear PDEs (Partial differential equations) are altered into ODEs (Ordinary differential equations) by using similarity variables. These types of flow problems have many industrial applications such as polymer extrusion, glass blowing and so on. The flow and heat problems were examined analytically especially heat transfer analysis is examined under two different cases namely PST (Prescribed surface temperature) and PHF (Prescribed heat flux) cases, then these solutions are expressed in terms of Kummer's function. Thermal radiation is also taken into account in heat equation and the analysis is carried out by using the microrotation parameter throughout the equation. Coefficient of Skin friction and local Nusselt number are also examined, analytically. Furthermore, graphical scenario have been considered by using different physical parameters namely Prandtl number, Chandrasekhar's number, radiation parameter, mass transpiration and so on. By using these results, it is cleared that microrotation parameter helps to increase Nusselt number, but dual nature behavior is observed for shrinking sheet condition. The induces magnetic field slightly increases the surface skin friction and slightly reduces the surface mass transfer.