Differential Equations and Nonlinear Mechanics 
Volume 2006 (2006), Article ID 52765, 9 pages
doi:10.1155/DENM/2006/52765

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

Maryem Amkadni and Adnane Azzouzi

 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

Abstract

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.