Volume 14, Issue 2, April 2015, Pages 259–267
Mohammad Shafique1
1 Ex-AP, Department of Mathematics, Gomal University, D I Khan, Pakistan
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 Magnetohyderodynamic (MHD) viscous flow of micropolar fluid over a shrinking sheet has been solved numerically. 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 solved by using successive over relaxation (SOR) iterative procedure. The results have been calculated on three different grid sizes to check the accuracy of the results. The results for problem relates to the flows over a shrinking sheet are computed for various values of the flow parameters M and s, where M is the magnetic parameter and s is the wall mass transfer parameter. The numerical results for Micropolar fluids are found in good agreement with those of Newtonian fluids.
Author Keywords: Micropolar Fluids, Shrinking Sheet and SOR Iterative Procedure.
Mohammad Shafique1
1 Ex-AP, Department of Mathematics, Gomal University, D I Khan, Pakistan
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 Magnetohyderodynamic (MHD) viscous flow of micropolar fluid over a shrinking sheet has been solved numerically. 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 solved by using successive over relaxation (SOR) iterative procedure. The results have been calculated on three different grid sizes to check the accuracy of the results. The results for problem relates to the flows over a shrinking sheet are computed for various values of the flow parameters M and s, where M is the magnetic parameter and s is the wall mass transfer parameter. The numerical results for Micropolar fluids are found in good agreement with those of Newtonian fluids.
Author Keywords: Micropolar Fluids, Shrinking Sheet and SOR Iterative Procedure.
How to Cite this Article
Mohammad Shafique, “Numerical Solution of MHD Viscous Flow of Micropolar Fluid Over a Shrinking Sheet using SOR Iterative Procedure,” International Journal of Innovation and Scientific Research, vol. 14, no. 2, pp. 259–267, April 2015.
