Abstract
A fully developed mixed convection flow between inclined parallel flat plates filled with a porous medium is considered through which there is a constant flow rate and with heat being supplied to the fluid by the same uniform heat flux on each plate. The equations governing this flow are made non-dimensional and are seen to depend on two dimensionless parameters, a mixed convection parameter λ and the Péclet number Pe, as well as the inclination γ of the plates to the horizontal. The velocity and temperature profiles are obtained in terms of λ, Pe and γ when the channel is inclined in an upwards direction as well as for horizontal channels. The limiting cases of small and large λ and small Pe are considered with boundary-layer structures being seen to develop on the plates for large values of λ.
Similar content being viewed by others
References
Chang W.-J., Chang W.-L.: Mixed convection in a vertical parallel-plate channel partially filled with porous media of high permeability. Int. J. Heat Mass Transf. 39, 1331–1342 (1996)
Cimpean, D.: Flows of viscous and incompressible newtonian and non-newtonian fluids through thin tubes and porous media. Ph.D. Thesis, Babes-Bolyai University, Cluj-Napoca (2007)
Cimpean, D., Pop, I., Ingham, D.B., Merkin, J.H., Lesnic D.: Fully developed opposing mixed convection flow between inclined parallel plates filled with a porous medium. Proceedings of 3ICAMP, 29 May–3 June, Marrakech, Morocco (2006)
Hadim A.: Numerical study of non-Darcy mixed convection in a vertical porous channel. J. Thermophys. 8, 371–373 (1994)
Hadim H.A., Chen G.: Non-Darcy mixed convection in a vertical porous channel with asymmetric wall heating. J. Thermophys. 8, 805–808 (1994)
Ingham, D.B., Pop, I. (eds): Transport Phenomena in Porous Media. Elsevier Science, Oxford (2005)
Ingham, D.B., Bejan, A., Mamut, E., Pop, I. (eds): Emerging Technologies and Techniques in Porous Media. Kluwer, Dordrecht (2004)
Lai, F.C.:Mixed convection in saturated porous media. In: Vafai, K. (ed.) Handbook of Porous Media, pp. 605–661. Marcel Dekker, New York (2000)
Lai F.C., Prasad V., Kulacki F.A.: Aiding and opposing mixed convection in a vertical porous layer with a finite wall heat source. Int. J. Heat Mass Transf. 31, 1049–1061 (1988)
Lavine A.S.: Analysis of fully developed opposing mixed convection between inclined parallel plates. Wärme- und Stoffübertr. 23, 249–257 (1988)
Nield D.A., Bejan A.: Convection in Porous Media (3rd ed.). Springer, New York (2006)
Parang M., Keyhani M.: Buoyancy effects in laminar mixed convection through an annulus porous medium. J. Heat Transf. 109, 1039–1041 (1987)
Pop I., Ingham D.B.: Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media. Pergamon, Oxford (2001)
Reda D.C.: Mixed convection in a liquid-saturated porous medium. J. Heat Transf. 110, 147–154 (1988)
Vafai, K. (eds): Handbook of Porous Media (2nd ed). Taylor and Francis, New York (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cimpean, D., Pop, I., Ingham, D.B. et al. Fully Developed Mixed Convection Flow Between Inclined Parallel Plates Filled with a Porous Medium. Transp Porous Med 77, 87–102 (2009). https://doi.org/10.1007/s11242-008-9264-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11242-008-9264-2