Volume 15, Issue 1, May 2015, Pages 122–130
Mohammad Shafique1, Atif Nazir2, and Sajjad Hussain3
1 Ex-AP, Department of Mathematics, Gomal University, D I Khan, Pakistan
2 Mathematics Group Coordinator, Yanbu Industrial College, Yanbu, Saudi Arabia
3 Department of Mathematics, College of Science, Al-Zulfi, Saudi Arabia
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The axisymmetric 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 axisymmetric stagnation flows towards a shrinking sheet when α < 0 and if α > 0 the axisymmetric stagnation flows towards a stretching sheet. The numerical results for Newtonian fluids are found in good agreement with those obtained previously.
Author Keywords: Newtonian fluids, Shrinking Sheet and SOR Iterative Procedure.
Mohammad Shafique1, Atif Nazir2, and Sajjad Hussain3
1 Ex-AP, Department of Mathematics, Gomal University, D I Khan, Pakistan
2 Mathematics Group Coordinator, Yanbu Industrial College, Yanbu, Saudi Arabia
3 Department of Mathematics, College of Science, Al-Zulfi, Saudi Arabia
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The axisymmetric 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 axisymmetric stagnation flows towards a shrinking sheet when α < 0 and if α > 0 the axisymmetric stagnation flows towards a stretching sheet. The numerical results for Newtonian fluids are found in good agreement with those obtained previously.
Author Keywords: Newtonian fluids, Shrinking Sheet and SOR Iterative Procedure.
How to Cite this Article
Mohammad Shafique, Atif Nazir, and Sajjad Hussain, “Numerical solution of axisymmetric stagnation flow of Newtonian fluid towards a shrinking sheet by SOR iterative procedure,” International Journal of Innovation and Scientific Research, vol. 15, no. 1, pp. 122–130, May 2015.
