Abstract
The two dimensional stagnation flows towards a shrinking sheet of Newtonian fluids has been solved numerically by using SOR Iterative Procedure. The similarity transformations have been used to reduce the highly nonlinear partial differential equations to ordinary differential equations. The results have been calculated on three different grid sizes to check the accuracy of the results. The problem relates to the flows towards a shrinking sheet when 0 α the flows towards a stretching sheet. The numerical results for Newtonian fluids are found in good agreement with those obtained previously.
Highlights
The two dimensional fluid flow near a stagnation point is among the fundamental problems in fluid mechanics
The study of stagnation point flow has been extended in numerous ways including MHD flow, heat transfer, and porous medium and stretching surfaces
The non-alignment function g has no effect on heat transfer
Summary
The two dimensional fluid flow near a stagnation point is among the fundamental problems in fluid mechanics. The stagnation flow problem is being investigated for shrinking boundaries. The MHD boundary layer flow of fluid over a shrinking sheet has been studied by Hayat et al [2] and Fang [3]. Nadeem et al [4] and Ara et al [5] have been investigated MHD boundary layer flow of fluid over an exponentially permeable shrinking sheet. The steady boundary layer flow and steady two-dimensional flow of a nanofluid past a nonlinearly permeable stretching/ shrinking sheet is numerically studied by Zaimi et al [6, 7]. Sajid and Hayat [8] applied homotopy analysis method for MHD viscous flow due to a shrinking sheet. Wang [10] studied the stagnation flow towards a shrinking sheet
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