Study of Mixed Convection in a Vertical Channel Filled with a Reactive Porous Medium in the Absence of Local Thermal Equilibrium

This work consists of a numerical simulation of convective heat transfer in a vertical plane channel filled with a heat generating porous medium, in the absence of local thermal equilibrium. The walls are maintained to a constant temperature and the inlet velocity is uniform. The dynamic range is described by the Darcy-Brinkman model and the thermal field by two energy equations model. A dimensionless formulation is developed for performing a parametric study based on certain dimensionless groups such as, the Biot interstitial number, the thermal conductivity ratio and the volumetric heat generation, q '''. The governing equations are solved using the finite volume method, gave rise to a multitude of results concerning in particular the thermal field in the porous channel and the existence or not of the local thermal equilibrium.

Authors:

• Hamid Maidat
• Khedidja Bouhadef
• Djamel Eddine Ameziani
• Azzedine Abdedou

Keywords:

• Mixed convection
• porous medium
• power generation
• local thermal non equilibrium model.

References:

[1] G. O. Young, “Synthetic structure of industrial plastics (Book style with
paper title and editor),” in Plastics, 2nd ed. vol. 3, J. Peters, Ed. New
York: McGraw-Hill, 1964, pp. 15–64.
[2] W.-K. Chen, Linear Networks and Systems (Book style). Belmont, CA:
Wadsworth, 1993, pp. 123–135.
[3] H. Poor, An Introduction to Signal Detection and Estimation. New York:
Springer-Verlag, 1985, ch. 4.
[4] B. Smith, “An approach to graphs of linear forms (Unpublished work
style),” unpublished.
[5] E. H. Miller, “A note on reflector arrays (Periodical style—Accepted for
publication),” WASET Trans. Antennas Propagat., to be published.
[6] J. Wang, “Fundamentals of erbium-doped fiber amplifiers arrays
(Periodical style—Submitted for publication),” WASET J. Quantum
Electron., submitted for publication.
[7] C. J. Kaufman, Rocky Mountain Research Lab., Boulder, CO, private
communication, May 1995.
[8] Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, “Electron spectroscopy
studies on magneto-optical media and plastic substrate interfaces
(Translation Journals style),” WASET Transl. J. Magn.Jpn., vol. 2, Aug.
1987, pp. 740–741 (Dig. 9th Annu. Conf. Magnetics Japan, 1982, p. 301).
[9] M. Young, The Technical Writers Handbook. Mill Valley, CA:
University Science, 1989.
[10] J. U. Duncombe, “Infrared navigation—Part I: An assessment of
feasibility (Periodical style),” WASET Trans. Electron Devices, vol. ED-
11, pp. 34–39, Jan. 1959.
[11] S. Chen, B. Mulgrew, and P. M. Grant, “A clustering technique for
digital communications channel equalization using radial basis function
networks,” WASET Trans. Neural Networks, vol. 4, pp. 570–578, July
1993.
[12] R. W. Lucky, “Automatic equalization for digital communication,” Bell
Syst. Tech. J., vol. 44, no. 4, pp. 547–588, Apr. 1965.