A new investigation on MHD Stoke’s flow with induced magnetic field effect

Ghosh Swapan Kumar *

Department of  Mathematics, Narajole Raj College, Narajole, Dist- Paschim Midnapore – 721211 West Bengal, India.
 
Research Article
Global Journal of Engineering and Technology Advances, 2019, 01(01), 049-056.
Article DOI: 10.30574/gjeta.2019.1.1.0011
Publication history: 
Received on 13 December 2019; revised on 26 December 2019; accepted on 27 December 2019
 
Abstract: 
Unsteady MHD Stoke’s flow of a viscous incompressible electrically conducting fluid past a flat plate under the influence of a transverse magnetic field is studied. The induced magnetic field produced by the motion of an electrically conducting fluid which perturb the original magnetic field. Since the plate is considered perfectly conducting, the magnetic field does not penetrate outside the region space. This problem is solved by employing Laplace transform method. The effect of induced magnetic field plays an important role in determining the MHD Stoke’s flow behaviour. Numerical results of velocity distributions, induced magnetic field distributions and the shear stress at the plate are depicted graphically for various values of flow parameters. This gives a physical interpretation obtained by the numerical results.
Keywords: 
Unsteady flow; MHD Stoke’s flow; Induced magnetic field; Laplace transform method; Perfectly conducting plate
 
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