Effect of thermal radiation on MHD free convection heat and mass transfer with double diffusion from vertical surfaces in porous media

• Autorzy: Tak S. S. , Khan A. , Lodha A.
• Języki publikacji: EN

Abstrakty

EN

The effect of thermal radiation on heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated Darcian porous medium subjected to a magnetic field is studied taking into account the Soret and Dufour effects. The Rosseland approximation for the radiative heat flux is used in the energy equation. It is found that the similarity solution exists in the present case. The resulting set of coupled non-linear ordinary differential equations is solved numerically using the shooting technique. Dimensionless velocity, temperature and concentration profiles are presented graphically for various values of the radiation parameter and the Nusselt and Sherwood numbers are tabulated for different values of the involved parameters. It is found that the Nusselt number increases and Sherwood number decreases as the radiation parameter increases but both the Nusselt number and Sherwood number decrease as the magnetic field parameter increases.

Słowa kluczowe

EN

free convection; radiation; magnetic field; porous media

PL

konwekcja swobodna; promieniowanie; pole magnetyczne; materiały porowate

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 1
• Strony: 295--303
• Opis fizyczny: Bibliogr. 20 poz., tab., wykr.

Twórcy

autor

Tak S. S.

autor

Khan A.

autor

Lodha A.

• Department of Mathematics and Statistics JNV University, Jodhpur (Rajasthan) 342001, INDIA,

Bibliografia

• Anghel M., Takhar H.S. and Pop I. (2000): Dufour and Soret effects on free convection boundary-layer over a vertical surface embedded in a porous medium. - Studia Universitatis Babes-Bolyai. Mathematica, vol.XLV, No4, pp.11-21.
• Bakier A.Y. (2001): Thermal radiation effect on mixed convection from vertical surfaces in saturated porous media. - Int. Comm. Heat Mass Transfer, vol.28, pp.119-126.
• Brewster M.Q. (1992): Thermal Radiative Transfer and Properties. - John Wiley and Sons.
• Cebeci T. and Bradshaw P. (1977): Momentum Transfer in Boundary Layer. - Hemisphere Publishing Corporation.
• Chamkha A.J. (1997): Similarity solutions for buoyancy-induced flow of a power-law fluid over a horizontal surface immersed in a porous medium. - Int. Comm. Heat Mass Transfer, vol.24, pp.805-814.
• Chamkha A.J. (1997): Solar radiation assisted convection in uniform porous medium supported by a vertical flat plate. - Trans. ASME. J. Heat Transfer, vol.119, pp.89-96.
• Chamkha A.J., Issa C. and Khanafer K. (2001): Natural convection due to solar radiation from a vertical plate embedded in a porous medium with variable porosity. - J. Porous Media, vol.4, pp.69-77.
• Chandrasekhara B.C. and Nagaraju P. (1998): Composite heat transfer in the case of a steady laminar flow of a gray fluid with small optical density past a horizontal plate embedded in a saturated porous media. - Warme-Stoffubertrag, vol.23, pp.343-352.
• Cheng C.Y. (1999): Effect of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media-an integral approach. - Int. Comm. Heat Mass Transfer, vol.26, pp.935-42.
• Cheng P. and Mynkowycz W.J. (1977): Free convection about a vertical plate embedded in a saturated porous medium with application to heat transfer from a dike. - J. Geophys.Res., vol.82, pp.2040-2044.
• Eckert F.R.G. and Drake R.M. (1972): Analysis of Heat and Mass Transfer. - New York: McGraw Hill.
• Hossain M.A. and Pop I. (1997): Radiation effect on Darcy free convection flow along an inclined surface placed in porous media. - Heat and Mass Transfer, vol.32, pp.223-227.
• Ingham D. and Pop I. (Eds.) (1998): Transport Phenomena in Porous Media I. - Oxford: Pergamon.
• Ingham D. and Pop I. (Eds.) (2002): Transport Phenomena in Porous Media II. - Oxford: Pergamon.
• Keller H.B. (1968): Numerical Methods for Two-point Boundary Value Problems. - Ginn-Blaisdell, Waltham, Mass.
• Murthy P.V.S.N., Mukherjee S., Srinivasacharya D. and Krishna P. V. S. S. R. (2004): Combined radiation and mixed convection from a vertical wall with suction/injection in a non-Darcy porous medium. - Acta Mechanica, vol.168, pp.145-156.
• Nield D.A. and Bejan A. (1999): Convection in Porous Media, second ed. - New York: Springer.
• Postelnicu A. (2004): Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. - Int. J. of Heat and Mass Transfer, vol.47, pp.1467-1472.
• Raptis A. (1998): Radiation and free convection flow through a porous medium. - Int. Comm Heat Mass Transfer, vol.25, pp.289-295.
• Whitaker S. (1980): Radiant energy transport in porous media. - Int. Engng. Chem. Fund., vol.19, pp.210-218.