Mathematics and Statistics Vol. 3(2), pp. 25 - 31
DOI: 10.13189/ms.2015.030201
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Numerical Solution of Two Dimensional Stagnation Flows of Newtonian Fluid towards a Shrinking Sheet

Mohammad Shafique ^1,*, Fatima Abbas ¹, Atif Nazir ^2
1 Department of Mathematics, Gomal University, Pakistan
² Mathematics Group, Yanbu Industrial College, Saudi Arabia

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 and if the flows towards a stretching sheet. The numerical results for Newtonian fluids are found in good agreement with those obtained previously.

KEYWORDS
Newtonian Fluids, Shrinking Sheet and SOR Iterative Procedure

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mohammad Shafique , Fatima Abbas , Atif Nazir , "Numerical Solution of Two Dimensional Stagnation Flows of Newtonian Fluid towards a Shrinking Sheet," Mathematics and Statistics, Vol. 3, No. 2, pp. 25 - 31, 2015. DOI: 10.13189/ms.2015.030201.

(b). APA Format:
Mohammad Shafique , Fatima Abbas , Atif Nazir (2015). Numerical Solution of Two Dimensional Stagnation Flows of Newtonian Fluid towards a Shrinking Sheet. Mathematics and Statistics, 3(2), 25 - 31. DOI: 10.13189/ms.2015.030201.