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MHD flow; finite difference technique; porosity; radiative heat transfer; free convection.

The present note deals with the effects of radiative heat transfer and free convection in MHD for a flow of an electrically conducting, incompressible, dusty viscous fluid past an impulsively started vertical non-conducting plate, under the influence of transversely applied magnetic field. The heat due to viscous dissipation and induced magnetic field is assumed to be negligible. The governing linear partial differential equations are solved by finite difference technique. The effects of various parameters (like radiation parameter 𝑁, Prandtl number Pr, porosity parameter 𝐾) entering into the MHD Stokes problem for flow of dusty conducting fluid have been examined on the temperature field and velocity profile for both the dusty fluid and dust particles.

Om Prakash¹ Devendra Kumar² Y K Dwivedi³

1. Department of Mathematics, Hindustan College of Science & Technology, Farah Mathura 281 112, India
2. Department of Mathematics, Sachdeva Institute of Technology, Farah Mathura 281 112, India
3. Department of Mathematics, Ganjdundwara P.G. College, Ganjdundwara, Kashiram Nagar 207 001, India

Published

March 2012

Manuscript received

4 October 2010

Manuscript revised

3 October 2011

Accepted

14 October 2011