Effects of Thermal Diffusion and Viscous Dissipation on Unsteady MHD Free Convection Flow Past a Vertical Porous Plate Under Oscillatory Suction Velocity with Heat Sink

B. Prabhakar Reddy

doi:10.2478/ijame-2014-0020

2/2014 vol. 19

ORIGINAL PAPER

Effects of Thermal Diffusion and Viscous Dissipation on Unsteady MHD Free Convection Flow Past a Vertical Porous Plate Under Oscillatory Suction Velocity with Heat Sink

B. Prabhakar Reddy ¹

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Department of Mathematics (S & H) Geethanjali College of Engineering and Technology Cheeryal (V), Keesara (M) Ranga Reddy (Dist) - 501 301, (AP), INDIA

Online publication date: 2014-08-30

Publication date: 2014-05-01

International Journal of Applied Mechanics and Engineering 2014;19(2):303-320

DOI: https://doi.org/10.2478/ijame-2014-0020

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References (14)

KEYWORDS

MHD

vertical plate

oscillatory suction velocity

heat sink

Galerkin FEM

ABSTRACT

The thermal diffusion and viscous dissipation effects on an unsteady MHD free convection heat and mass transfer flow of an incompressible, electrically conducting, fluid past an infinite vertical porous plate embedded in a porous medium of time dependent permeability under oscillatory suction velocity in the presence of a heat absorbing sink have been studied. It is considered that the influence of a uniform magnetic field acts normal to the flow and the permeability of the porous medium fluctuates with time. The dimensionless governing equations for this investigation have been solved numerically by using the efficient Galerkin finite element method. The numerical results obtained have been presented through graphs and tables for the thermal Grashof number (Gr > 0) corresponding to the cooling of the porous plate and (Gr < 0) corresponding to heating of the porous plate to observe the effects of various material parameters encountered in the problem under investigation. Numerical data for skin-friction, Nusselt and Sherwood numbers are tabulated and then discussed.

REFERENCES (14)

Acharya M., Dash G.C. and Singh L.P. (2000): Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux. - Indian J. Pure and Appl. Math., vol.31, pp.1-18.

Google Scholar

Cookey C.I., Ogulu A. and Omubo-Pepple V.B. (2003): Influence of viscous dissipation and radiation on unsteady MHD free convection flow past an infinite heated vertical plate in a porous medium with time dependent suction. - Int. J. Heat and Mass Transfer, vol.46, pp.2305-2311.

Google Scholar

Hossain M.A. and Mandal A.C. (2007): Effects of mass transfer and free convection on the unsteady MHD flow past a vertical porous plate with constant suction. - Int. J. Energy Research., vol.10, pp.409-416.

Google Scholar

Prabhakar Reddy B. and Anand Rao J. (2011): Numerical solution of thermal diffusion effect on an unsteady MHD free convective mass transfer flow past a vertical porous plate with Ohmic dissipation. - Int. J. Appl. Math and Mech., vol.7(8), pp.78-97.

Google Scholar

Prabhakar Reddy B. and Anand Rao J. (2011): Radiation and thermal diffusion effects on an unsteady MHD free convection mass transfer flow past an infinite vertical porous plate with the Hall current and a heat source. - J. of Eng. Physics and Thermphysics, vol.84, No.6, pp.1369-1378.

Google Scholar

Raji Reddy S. and Sri Hari K. (2009): Numerical solution of unsteady flow of a radiating and chemically reacting fluid with time dependent suction. - Indian J. Pure and Appl. Phys., vol.47, pp.7-11.

Google Scholar

Ramachandra Prasad V. and Bhaskar Reddy N. (2008): Radiation and mass transfer effects on an unsteady MHD convection flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with viscous dissipation. -Indian J. Pure and Appl. Phys., vol.46, pp.81-96.

Google Scholar

Ramana Reddy G.V., Ramana Murthy Ch.V. and Bhaskar Reddy N. (2011): MHD flow over a vertical moving porous plate with heat generation by considering double diffusive convection. - Int. J. Appl. Math and Mech., vol.7(4), pp.53-69.

Google Scholar

Sahoo P.K., Datta N. and Biswal S. (2003): MHD unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. - Indian J. Pure and Appl. Math., vol.34(1), pp.145-155.

Google Scholar

10.

Seddek M.A. and Salama F.A. (2007): The effects of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past an infinite porous moving plate with variable suction. - Int. J. Computational Material Sci., vol.40, pp.186-192.

Google Scholar

11.

Singh A.K., Singh A.K. and Singh N.P. (2003): Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. - Indian J. Pure and Appl. Math., vol.34 (3), pp.429-442.

Google Scholar

12.

Singh N.P., Singh A.K. Yadav M.K. and Singh A.K. (1999): Hydromagnetic free convection and mass transfer flow of a viscous stratified liquid. - J. Energy Heat and Mass Transfer, vol.21, pp.111-115.

Google Scholar

13.

Soundalgekar V.M. (1972): Viscous dissipation effects on unsteady free convective flow past an infinite vertical porous plate with constant suction. - Int. J. Heat and Mass Transfer, vol.15, pp.1253-1261.

Google Scholar

14.

Sreekanth S., Venkataramana S. and Ramakrishna S. (1996): The effect of mass transfer on unsteady free convection flow past infinite vertical porous plate. - Acta Siencia Indica, vol.22 M, pp.267-275.

Google Scholar

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