International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 702458, 12 pages
Research Article

The Solution of a Coupled Nonlinear System Arising in a Three-Dimensional Rotating Flow Using Spline Method

Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat 395001, India

Received 30 March 2012; Revised 28 May 2012; Accepted 26 June 2012

Academic Editor: Theodore E. Simos

Copyright © 2012 Jigisha U. Pandya. 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 behavior of the non-linear-coupled systems arising in axially symmetric hydromagnetics flow between two horizontal plates in a rotating system is analyzed, where the lower is a stretching sheet and upper is a porous solid plate. The equations of conservation of mass and momentum are transformed to a system of coupled nonlinear ordinary differential equations. These equations for the velocity field are solved numerically by using quintic spline collocation method. To solve the nonlinear equation, quasilinearization technique has been used. The numerical results are presented through graphs, in which the effects of viscosity, through flow, magnetic flux, and rotational velocity on velocity field are discussed.