Numerical solution of two dimensional stagnation flows of Micropolar fluids towards a shrinking sheet by using SOR Iterative Procedure

Mohammad Shafique; Atif Nazir; Fatima Abbas

Mohammad Shafique Ex-AP, Department of Mathematics, Gomal University, D I Khan, Pakistan Current: Private Teaching in Mathematics, Scarborough Toronto Ontario, Canada. http://orcid.org/0000-0001-9408-1937
Atif Nazir Mathematics Group Coordinator, Yanbu Industrial College, Yanbu, Saudi Arabia
Fatima Abbas Department of Mathematics, Gomal University, Dera Ismail Khan, Pakistan

Keywords: Micropolar Fluids, Shrinking Sheet and SOR Iterative Procedure.

Abstract

In this paper, the problem of two dimensional stagnation flows of micropolar fluids towards a shrinking sheet has been solved numerically by SOR iterative procedure. The similarity transformations have been used to reduce the highly nonlinear partial differential equations of motion to ordinary differential equations. The resulting equations are then integrated by using appropriate numerical techniques. The results have been calculated on three different grid sizes to check the accuracy of the results. The numerical results have been obtained for various values of the parametera. For, the problem relates to the stagnation flow towards a stretching sheet. For, the problem relates to the flow towards a shrinking sheet. Moreover, the results computed for micropolar case are found in good agreement with those obtained with the Newtonian results.

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