Abstract
The steady two-dimensional stagnation-point flow and heat transfer past a permeable stretching/shrinking sheet with effects of viscous dissipation, Joule heating and partial velocity slip in the presence of a magnetic field is investigated. The partial differential equations are reduced to nonlinear ordinary differential equations by using a similarity transformation, before being solved numerically by shooting technique. Results indicate that the skin friction coefficient and the local Nusselt number increase as magnetic parameter increases. It is found that for the stretching sheet the solution is unique while for the shrinking sheet there exist nonunique solutions (dual solutions) in certain range of parameters. The stability analysis shows that the upper branch solution is stable while the lower branch solution is unstable.
Highlights
Flow and heat transfer over a stretching/shrinking sheet near a stagnation point has attracted the interest of many researchers
A stability analysis is performed to investigate the stability of the dual solutions and determine which solution is stable and physically realiable
Consider a steady two dimensional, electrically conducting viscous and incompressible fluid over a permeable stretching/shrinking sheet coinciding with the plane y = 0, and the flow being confined to y > 0. This problem considers the effect of viscous dissipation, Joule heating and partial slip
Summary
Flow and heat transfer over a stretching/shrinking sheet near a stagnation point has attracted the interest of many researchers. Das[15] considered a steady two dimensional laminar boundary layer stagnation point flow in a micropolar fluid towards a shrinking sheet in the presence of magnetic field. The aim of this study is to investigate the effects of viscous dissipation, Joule heating and partial velocity slip of a viscous, incompressible and electrically conducting fluid near the stagnation point on a stretching/shrinking sheet in the presence of magnetic field near the stagnation point when suction and injection is taken into consideration. Consider a steady two dimensional, electrically conducting viscous and incompressible fluid over a permeable stretching/shrinking sheet coinciding with the plane y = 0, and the flow being confined to y > 0 This problem considers the effect of viscous dissipation, Joule heating and partial slip.
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