Effect of quadratic density variation on mixed convection stagnation point heat transfer and MHD fluid flow in porous medium towards a permeable shrinking sheet

This investigation deals with the analysis of stagnation point heat transfer and corresponding flow features of hydromagnetic viscous incompressible fluid over a vertical shrinking sheet. The considered sheet is assumed to be permeable and subject to addition of stagnation point to control the generated vorticity in the boundary layer. The sheet is placed on the right side of the fluid-saturated porous medium, which has permeability of specified form. Nonlinear convection waves in the flow field are realized due to the envisaged nonlinear relation between density and temperature. The equations governing the quadratic density dependence convection boundary layer flow are modeled and simplified using similarity transformations. The economized equations are solved for numerical solutions by employing the implicit finite difference scheme, also known as the Keller-box method. The influence of the associated parameters of the problem on velocity and temperature distributions, skin friction, and rate of heat transfer are presented through graphs and tables and qualitatively discussed. The study reveals that interaction among magnetic field, porous medium permeability, and quadratic density temperature parameters substantially enhances the solution range and thus endorses their control to sustain the boundary layer flow. © 2016 by Begell House, Inc.