Dual solutions in MHD stagnation-point flow of Prandtl fluid impinging on shrinking sheet

doi:10.1007/s10483-014-1836-9

Abstract

Abstract:

The present article investigates the dual nature of the solution of the magnetohydrodynamic (MHD) stagnation-point flow of a Prandtl fluid model towards a shrinking surface. The self-similar nonlinear ordinary differential equations are solved numerically by the shooting method. It is found that the dual solutions of the flow exist for certain values of the velocity ratio parameter. The special case of the first branch solutions (the classical Newtonian fluid model) is compared with the present numerical results of stretching flow. The results are found to be in good agreement. It is also shown that the boundary layer thickness for the second solution is thicker than that for the first solution.

Key words: Prandtl fluid, magnetohydrodynamic (MHD), shooting method, stagnation-point flow, dual solution, shrinking sheet

2010 MSC Number:

O361.3

N. S. AKBAR;Z. H. KHAN;R. U. HAQ;S. NADEEM. Dual solutions in MHD stagnation-point flow of Prandtl fluid impinging on shrinking sheet. Applied Mathematics and Mechanics (English Edition), 2014, 35(7): 813-820.

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