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Exact Solutions for a Fluid-Saturated Porous Medium with Heat and Mass Transfer

Published online by Cambridge University Press:  05 May 2011

I-C. Liu
I-C. Liu*
Affiliation:
Department of Civil Engineering, National Chi Nan University, Nantou, Taiwan 545, R.O.C.
*
*Associate Professor
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Abstract

An analysis is performed to the study of the momentum, heat and mass transfer of a viscous fluid-saturated porous medium past an impermeable, non-isothermal stretching sheet with internal heat generation or absorption and chemical reaction. The governing partial differential equations are converted into ordinary differential equations by means of a similarity transformation. Exact solutions of velocity components together with the pressure distribution, which can not be found in the boundary layer theory, are obtained analytically; in addition, the temperature and concentration functions are given in terms of confluent hypergeometric functions. The velocity, temperature (concentration) profiles and thermal characteristics at the sheet for relevant parameters are plotted, tabulated and discussed.

Keywords

Exact solutionsPorous mediumHeat and mass transferStretching sheet.
Type
Technical Note
Information
Journal of Mechanics , Volume 21 , Issue 1 , March 2005 , pp. 57 - 62
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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References

1.Sakiadis, B. C., “Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow,” AIChE J., Vol. 7, pp. 26–28 (1961).Google Scholar
2.Crane, L. I., “Flow past a stretching sheet,” ZAMP, Vol. 21, pp.645–647 (1970).Google Scholar
3.Gupta, P. S. and Gupta, A. S., “Heat and mass transfer on a stretching sheet with suction or blowing,” Canad. J. Chem. Eng., Vol. 55, pp. 744–746 (1977).Google Scholar
4.Chen, C. C. and Char, M. I., “Heat transfer of a continuous stretching surface with suction or blowing,” J. Math. Anal. Appl., Vol. 135, pp. 568–580 (1988).Google Scholar
5.Andersson, H. L., “An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow,” Acta Mech., Vol. 113, pp. 241–244 (1995).Google Scholar
6.Pavlov, K. B., “Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface,” Magnitnaya Gidrodinamika, Vol. 4, pp. 146–147 (1974).Google Scholar
7.Nield, D. A. and Bejan, A., Convection in Porous Media, Springer Verlag Inc., New York (1998).Google Scholar
8.Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, Dover Pub. Inc., New York (1965).Google Scholar