International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 4, Issue 1, 2012 pp 06-09
MHD Accelerated Motion on A Body Placed Symmetrical to the Flow in the Presence of A Transverse Magnetic Field Fixed Relative to the Fluid
Department of Mathematics, University of Rajasthan, Jaipur-302055, Rajasthan, INDIA.
Academic Editor: Dr. Dase R.K.
An analysis is performed for a two dimensional boundary layer flow of an electrically conducting fluid due to an unsteady external flow velocity, whose acceleration is governed by a power law, on a body placed symmetrical to the flow in the presence of an externally applied transverse magnetic field fixed relative to the fluid. The boundary layer equations have been solved by using a method previously developed by Bianchini, based on expressing the unknown velocity in terms of an error function and using differential and integral relations obtained from the governing equations. As an example, the impulsive flow past a circular cylinder is considered. The flow field is divided into two regions namely MHD Rayleigh region and MHD Blasius region. It is found that the effect of the magnetic field is to delay separation which stabilizes the flow. The results are in good agreement with the numerical data available in the literature.