Fully developed mixed convection through a vertical porous channel with an anisotropic permeability: case of heat flux

Authors

  • Diana Andrada FILIP Babes-Bolyai University Faculty of Economics and Business Administration 1, Kogalniceanu Street, 400084 Cluj-Napoca, Romania e-mail: diana.filip@econ.ubbcluj.ro
  • Radu T. TRÎMBIȚAȘ Babes-Bolyai University Faculty of Economics and Business Administration 1, Kogalniceanu Street, 400084 Cluj-Napoca, Romania, e-mail: tradu@math.ubbcluj.ro
  • Ioan POP Babes-Bolyai University Faculty of Economics and Business Administration 1, Kogalniceanu Street, 400084 Cluj-Napoca, Romania, e-mail: popm.ioan@yahoo.co.uk https://orcid.org/0000-0002-0660-6543

Keywords:

Fluid mechanics, porous media, computer algebra.

Abstract

The effect of anisotropy on the steady fully developed mixed convec- tion flow in a vertical porous channel is analytically studied. The side walls of the channel are prescribed by a constant heat flux and the flow at the entrance is upward, so that natural convection aids the forced flow. It is shown that the anisotropy parameter has a significant effect of the flow and heat transfer characteristics. We extend the study in [9] with the case of opposing flow by using Computer Algebra software.

Mathematics Subject Classification (2010): 76S99, 76R99, 68W30.

References

Al-Hadrami, A.K., Elliott, L., Ingham, D.B., Combined free and forced convection in vertical channels of porous media, Transport Porous Media, 49(2002), 265-289.

Aung, W., Worku, G., Theory of fully developed mixed convection between parallel vertical plates, ASME J. Heat Transfer, 108(1986), 485-488.

Barletta, A., Heat transfer by fully developed flow and viscous heating in a vertical channel with prescribed wall heat fluxes, Int. J. Heat Mass Transfer, 42(1999), 3873-3885.

Degan, G., Beji, H., Vasseur, P., Robillard, L., Effect of anisotropy on the development of convective boundary layer flow in porous media, Int. Comm. Heat Mass Transfer, 25(1998), 1159-1168.

Degan, G., Vasseur, P., Natural convection in a vertical slot filled with an anisotropic porous medium with oblique principal axes, Numer. Heat Transfer, 38(1996), 397-412.

Degan, G., Vasseur, P., Aiding mixed convection through a vertical anisotropic porous channel with oblique principal axes, Int. J. Engng. Sci., 40(2002), 193-209.

Degan, G., Vasseur, P., Bilgen, E., Convective heat transfer in a vertical anisotropic porous layer, Int. J. Heat Mass Transfer, 38(1995), 1975-1987.

Degan, G., Zohoun, S., Vasseur, P., Forced convection in horizontal porous channels with hydrodynamic anisotropy, Int. J. Heat Mass Transfer, 45(2002), 3181-3188.

Filip, D., Pop, I., Trˆımbit¸a¸s, R., Fully developed assisting mixed convection through a vertical porous channel with an anisotropic permeability: case of heat flux, Proceedings of the 5th International Conference on Applications of Porous Media, Romania, 2013, (ICAPM 2013) Cluj University Press, 2013.

Ingham, D.B., Pop, I. (eds.), Transport Phenomena in Porous Media, vol. III, Elsevier, Oxford, 2005.

de Lemos, M.J.S., Turbulence in Porous Media: Modeling and Applications (2nd edition), Elsevier, Oxford, 2012.

Nakayama, A., PC-Aided Numerical Heat Transfer and Convective Flow, CRC Press, Tokyo, 1995.

Nield, D.A., Bejan, A., Convection in Porous Media (4th edition), Springer, 2013.

Nielsen, T., Storeslleten, L., An analytical study on natural convection in isotropic and anisotropic porous channel, ASME J. Heat Transfer, 112(1990), 396-401.

Pop, I., Ingham, D.B., Convective Heat Transfer: Mathematical and Computational Viscous Fluids and Porous Media, Pergamon, Oxford, 2001.

Tyvand, P.A., Storesletten, L., Onset of convection in an anisotropic porous medium with oblique principal axes, J. Fluid Mech., 226(1991), 371-382.

Vadasz, P., Emerging Topics in Heat and Mass Transfer in Porous Media, Springer, New York, 2008.

Vafai, K., (ed.), Handbook of Porous Media (2nd edition), Taylor and Francis, New York, 2005.

Vafai, K., Porous Media: Applications in Biological Systems and Biotechnology, CRC Press, Tokyo, 2010.

Vasseur, P., Degan, G., Free convection along a vertical heated plate in a porous medium with anisotropic permeability, Int. J. Numer. Methods Heat & Fluid Flow, 8(1998), 43-63.

Downloads

Published

2015-06-30

How to Cite

FILIP, D. A., TRÎMBIȚAȘ, R. T., & POP, I. (2015). Fully developed mixed convection through a vertical porous channel with an anisotropic permeability: case of heat flux. Studia Universitatis Babeș-Bolyai Mathematica, 60(2), 341–350. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5748

Issue

Section

Articles

Similar Articles

<< < 4 5 6 7 8 9 10 11 12 13 > >> 

You may also start an advanced similarity search for this article.