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Differential Equations and Nonlinear Mechanics
Volume 2006, Article ID 52765, 9 pages

On a similarity solution of MHD boundary layer flow over a moving vertical cylinder

Faculté de Mathématiques et d'Informatique, Université de Picardie Jules Verne, 33 rue Saint-Leu, Amiens 80039, France

Received 22 March 2006; Revised 2 July 2006; Accepted 26 July 2006

Copyright © 2006 Maryem Amkadni and Adnane Azzouzi. 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 steady flow of an incompressible electrically conducting fluid over a semi-infinite moving vertical cylinder in the presence of a uniform transverse magnetic field is analyzed. The partial differential equations governing the flow are reduced to an ordinary differential equation, using the self-similarity transformation. The analysis deals with the existence of an exact solution to the boundary value problem by a shooting method.