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Abstrakty
A non-similar boundary layer analysis is carried out to study the effect of Soret and Dufour on heat and mass transfer for a power-law, non-Newtonian fluid. Thermo-diffusion implies that the heat transfer is induced by concentration gradient, and thermo-diffusion implies that the mass diffusion is induced by thermal gradient. The resultant governing boundary-layer equations, highly non-linear and a coupled form of partial differential equations have been solved by employing a numerical, Runge-Kutta fourth order technique with a modified version of the Newton-Raphson shooting method. A parametric study of all parameters involved is conducted, and a representative of the results for the velocity, temperature, concentration profiles as well as the Nusselt and the Sherwood numbers are illustrated graphically to elucidate interesting features of the solutions.
Rocznik
Tom
Strony
1125--1132
Opis fizyczny
Bibliogr. 9 poz., wykr.
Twórcy
autor
- Mathematics Department, Faculty of Science South Valley University, Qena, EGYPT, mahdy@svu.edu.eg
Bibliografia
- Alam M.S. and Rahman M.M. (2005): Dufour and Soret effects on MHD free convective heat and mass transfer flow past a vertical flat plate embedded in a porous medium. - J. Naval Architecture and Marine Eng., vol.2, No.1, pp.55-65.
- 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, No.4, pp.11-21.
- Dursunkaya Z. and Worek W.M. (1992): Diffusion-thermo and thermal-diffusion effects in transient and steady natural convection from vertical surface. - Int. J. Heat Mass Transfer, vol.35, No.8, pp.2060-2065.
- Eckert E.R.G. and Drake R.M. (1972): Analysis of Heat and Mass Transfer. - New York: McGraw-Hill.
- Gorla R.S.R., Slaouti A. and Takhar H.S. (1997): Mixed convection in non-Newtonian fluids along a vertical plate in porous media with surface mass transfer. - Int. J. Numerical Methods for Heat and Fluid Flow, vol.6, pp.598-608.
- Ingham D.B. (1988): An exact solution for non-Darcy free convection from a horizontal line source of heat. - Thermal Fluid Dynamics, vol.22, pp.125-7.
- Nakayama A. and Koyama H. (1991): Buoyancy-induced flow of non-Newtonian fluids over a non-isothermal body of arbitrary shape in a fluid saturated porous medium. - Applied Scientific Research, vol.48, pp.55-70.
- Nakayama A. and Shenoy A.V. (1992): A unified similarity transformation for Darcy and non-Darcy forced, free and mixed convection heat transfer in non-Newtonian inelastic fluid saturated porous media. - Chemical Engineering Journal, vol.50, pp.33-45.
- 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. Heat Mass Transfer, vol.47, No.6-7, pp.1467-1472.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0017