Abstract
Fully developed forced convection in a parallel plate channel filled by a saturated porous medium, with walls held either at uniform temperature or at uniform heat flux, with the effects of viscous dissipation and flow work included, is treated analytically. The Brinkman model is employed. The analysis leads to expressions for the Nusselt number, as a function of the Darcy number and Brinkman number.
Similar content being viewed by others
References
Al-Hadrami, A. K., Elliott, L. and Ingham, D. B.: 2002, Combined free and forced convection in vertical channels of porous media, Transport Porous Med. 49, 265–289.
Al-Hadrami, A. K., Elliott, L. and Ingham, D. B.: 2003, A new model for viscous dissipation in porous media across a range of permeability values, Transport Porous Med. 53, 117–122.
Nield, D. A.: 1998, Effects of local thermal non-equilibrium in steady convective processes in a saturated porous medium: forced convection in a channel. J. Porous Med. 1, 181–186.
Nield, D. A.: 2000, Resolution of a paradox involving viscous dissipation and nonlinear drag in a porous medium, Transport Porous Med. 41, 349–357.
Nield, D. A.: 2002, Modelling fluid flow in saturated porous media and at interfaces, in: D. B. Ingham and I. Pop, (eds), Transport Phenomena in Porous Media II Elsevier Science, Oxford.
Nield, D. A.: Comments on ‘A new model for viscous dissipation in porous media across a range of permeability values’ by A. K. Al-Hadrami, L. Elliot and D. B. Ingham, Transport in Porous Med. (in press).
Nield, D. A. and Bejan, A.: 1999, Convection in Porous Media, 2nd edn., Springer-Verlag, New York.
Nield, D. A., Kuznetsov, A. V. and Xiong, M.: 2003, Thermally developing forced convection in a porous medium: parallel plate channel with walls at constant temperature, with longitudinal conduction and viscous dissipation effects, Int. J. Heat Mass Transfer 46, 643–651.
Nield, D. A., Kuznetsov, A. V. and Xiong, M.: Thermally developing forced convection in a porous medium: parallel plate channel with walls at constant heat flux, with longitudinal conduction and viscous dissipation effects, Transport Porous Med. (in press).
Ou, J.-W. and Cheng, K. C.: 1973, Effects of pressure work and viscous dissipation on Graetz problem for gas flows in parallel-plate channels, Wärme-und Stoffübertragung 6, 191–198.
Shah, R. K. and London, A. L.: 1978, Laminar Flow Forced Convection in Ducts (Advances in Heat Transfer, Supplement 1), Academic Press, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nield, D.A., Kuznetsov, A.V. & Xiong, M. Effects of Viscous Dissipation and Flow Work on Forced Convection in a Channel Filled by a Saturated Porous Medium. Transport in Porous Media 56, 351–367 (2004). https://doi.org/10.1023/B:TIPM.0000026087.77213.c8
Issue Date:
DOI: https://doi.org/10.1023/B:TIPM.0000026087.77213.c8