Numerical Investigation of the Dufour and Soret Effects on Unsteady MHD Natural Convection Flow Past a Vertical Plate Embedded in a Non-Darcy Porous Medium

Mohammed  Q Al-Odat; Abdalmajeed Al-Ghamdi

doi:10.3879/j.issn.1000-0887.2012.02.005

Volume 33 Issue 2

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Mohammed Q Al-Odat, Abdalmajeed Al-Ghamdi. Numerical Investigation of the Dufour and Soret Effects on Unsteady MHD Natural Convection Flow Past a Vertical Plate Embedded in a Non-Darcy Porous Medium[J]. Applied Mathematics and Mechanics, 2012, 33(2): 195-209. doi: 10.3879/j.issn.1000-0887.2012.02.005

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Numerical Investigation of the Dufour and Soret Effects on Unsteady MHD Natural Convection Flow Past a Vertical Plate Embedded in a Non-Darcy Porous Medium

doi: 10.3879/j.issn.1000-0887.2012.02.005

Mohammed Q Al-Odat^1,2,
Abdalmajeed Al-Ghamdi¹

¹Mechanical Engineering Department, Faculty of Engineering, Umm Al-Qura University, Mekkah, Kingdom of Saudi Arabia;²Mechanical Engineering Department, Al-Huson University College Al-Balqa Applied University, Irbid, Jordan

Received Date: 2011-05-20
Rev Recd Date: 2011-11-10
Publish Date: 2012-02-15

Abstract

Abstract

The Dufour and Soret effects on unsteady, two-dimensional, magnetohydrodynamics (MHD) double-diffusive free convective flow of an electrically-conducting fluid past a vertical plate embedded in a non-Darcy porous medium were investigated numerically. The governing non-linear dimensionless equations were solved using an implicit finite difference scheme of Crank-Nicolson type with a tri-diagonal matrix manipulation. The effects of various parameters entering into the problem on the unsteady dimensionless velocity, temperature and concentration profiles were studied in detail. Furthermore, the time variation of the skin friction coefficient, the Nusselt number and the Sherwood number were presented and analyzed. The results of the present investigation show that the unsteady velocity, temperature and concentration profiles are substantially influenced by the Dufour and Soret effects. As the Dufour number increases or the Soret number decreases, both the skin friction and the Sherwood number decrease, while the Nusselt number increases. It is found that, when the magnetic parameter increases, the velocity and temperature decrease in the boundary layer.
- transient free double-diffusive,
- non-Darcy model,
- MHD,
- porous medium,
- Dufour effect,
- Soret effect,
- numerical solution

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References(27)

References

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