Soret and Radiation Effects on a Transient MHD Mass Transfer Flow Past an Infinite Vertical Porous Plate in a Rotating System with Hall Current

Soret and Radiation Effects on a Transient MHD Mass Transfer Flow Past an Infinite Vertical Porous Plate in a Rotating System with Hall Current

Ahmed N. Sarma K. Deka H. 

Department of Mathematics, Gauhati University, Guwahati, Assam, Pin-781014, India

Department of Mathematics, Cotton College, Guwahati, Assam, Pin-7810001, India

Page: 
109-116
|
DOI: 
https://doi.org/10.18280/ijht.310114
Received: 
N/A
|
Accepted: 
N/A
|
Published: 
30 June 2013
| Citation

OPEN ACCESS

Abstract: 

This problem presents the effects of thermal diffusion and radiation on a transient free convective flow of a viscous incompressible electrically conducting fluid past an infinite vertical porous plate in a rotating system with Hall current, when the temperature and concentration at the plate vary periodically with time. A uniform magnetic field is assumed to be applied along the normal to the plate directed into the fluid region. The magnetic Reynolds number is assumed to be so small that the induced magnetic field can be neglected. Assuming the medium to be non-scattered and the fluid to be non gray having emitting-absorbing and optically thin radiation limit properties, the governing equations are solved analytically. The expressions for the primary and secondary velocity fields, temperature and concentration, skin frictions at the plate due to primary and secondary velocity fields, Nusselt number and Sherwood number at the plate are obtained in non-dimensional forms. The temperature distribution, species concentration, the velocity fields and the skin frictions at the plate are demonstrated graphically and the effects of thermal radiation, thermal diffusion, magnetic field, Hall current and rotation on these fields are discussed.

Keywords: 

free convection, hall current, MHD, soret effects, thermal radiation

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