Stagnation point flow and heat transfer on a thin porous sheet: Applications to flow dynamics of the circulatory system

The paper is concerned with the modeling and analysis of stagnation point flow and heat transfer on a thin porous sheet under the action of an induced magnetic field. The fluid is considered to be incompressible viscous and electrically conducting. The study is motivated towards exploring some interesting phenomena in the micro-circulatory system. Heat transfer is considered to be governed by the heat equation. In order to take care of the induced magnetism that affects the flow process, the flow equations are coupled with magnetic field variables. The analysis has been performed under the purview of the boundary layer theory, together with the use of similarity transformation. The transformed equations are solved by developing an appropriate numerical method. Numerical results have been computed for a typical situation of the fluid in motion. The results are displayed graphically/in tabular form, which depict the distribution of velocity and temperature under the action of the induced magnetic field and permeability of the porous sheet. The study shows that the flow of the fluid reduces, as the strength of the induced magnetic field increases. However, the reduction in velocity is accompanied by an enhancement of the temperature field.