Forced convection in heterogeneous porous media: the effect of thermal dispersion

• Autorzy: Kuznetsov A. V.
• Języki publikacji: EN

Abstrakty

EN

This paper presents a new analytical solution to a problem of forced convection in a heterogeneous channel filled with two different layers of isotropic porous media. The Brinkman-Forchheimer-extended Darcy equation is utilized to describe the fluid flow in the porous layers, and the effect of transverse thermal dispersion is accounted for in the energy equations. Three momentum boundary layers are identified in the channel: a boundary layer at the solid wall and two boundary layers at the interface between the porous media. The dependence of the Nusselt number on the Darcy numbers, Forchheimer coefficients, and particle Reynolds numbers in different parts of the channel is investigated. This study demonstrates that thermal dispersion has a strong effect on the Nusselt number in the channel for large particle Reynolds numbers.

Słowa kluczowe

EN

porous media; forced convection; thermal dispersion; heterogeneous media

PL

materiałoznawstwo; konwekcja wymuszona; materiał porowaty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2002
• Tom: Vol. 7, no 2
• Strony: 565--590
• Opis fizyczny: Bibliogr. 26 poz., wykr.

Twórcy

autor

Kuznetsov A. V.

• Department of Mechanical and Aerospace Engineering North Carolina State University Campus Box 7910, Raleigh, NC 27695-7910, USA

Bibliografia

• [1] Amiri A. and Vafai K. (1994): Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous media. - Int. J. Heat Mass Transfer, vol.37, pp.939-954.
• [2] Amiri A. and Vafai K. (1998): Transient analysis of incompressible flow through a packed bed. - Int. J. Heat Mass Transfer, vol.41, pp.4259-4279.
• [3] Bejan A. (1993): Heat Transfer. - New York: Wiley.
• [4] Bejan A. (1995): Convection Heat Transfer. - New York: Wiley, 2nd ed.
• [5] Cheng P., Hsu C.T. and Chowdhury A. (1988): Forced convection in the entrance region of a packed channel with asymmetric heating. - ASME Journal of Heul Transfer, vol.110, pp.946-954.
• [6] Givler R.C. and Altobelli S.A. (1994): A determination of the effective viscosity for the Brinkman-Forchheimer flow model. - Journal of Fluid Mechanics, vol.23, pp.355-370.
• [7] Hong J.T. and Tien C.L. (1987): Analysis of thermal dispersion effect on vertical-plate natural convection in porous media. - Int. J. Heat Mass Transfer, vol.30, pp.143-150.
• [8] Hsieh W.H. and Lu S.F. (1998): Heat-transfer analysis of thermally-developing region of annular porous media. - Proceedings of the 11th International Heat Transfer Conference (Kyongju, Korea, August 23-28), vol.4, pp.447-452.
• [9] Hsu C.T. and Chen P. (1990): Thermal dispersion in a porous medium. - Int. J. Heat Mass Transfer, vol.33, pp. 1587-1597.
• [10] Hunt M.L. and Tien C.L. (1988): Non-Darcian convection in cylindrical packed beds. - ASME J. Heat Transfer, vol. 110, pp.378-384.
• [11] Kaviany M. (1985): Laminar flow through a porous channel bounded by isothermal parallel plates. - International Journal of Heat and Mass Transfer, vol.28, pp.851-858.
• [12] Kuznetsov A.V. (1998): Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium. - Flow, Turbulence and Combustion, vol.60, pp. 173-192.
• [13] Nakayama A., Koyama H. and Kuwahara F. (1988): An analysis on forced convection in a channel filled with a Brinkman-Darcy porous medium: Exact and approximate solutions. - Warme- und Stofflibertragung, vol.23, pp.291-295.
• [14] Nield D.A. (1991): The limitations of the Brinkman-Forchheimer equation in modeling flow in a saturated porous medium and at an interface. - International Journal of Heat and Fluid Flow, vol. 12, pp.269-272.
• [15] Nield D.A. and Bejan A. (1999): Convection in Porous Media. - New York: Springer, 2nd ed.
• [16] Nield D.A. and Kuznetsov A.V. (2000): Effect of heterogeneity in forced convection in a porous medium: Parallel plate channel or circular duct. - International Journal of Heat and Mass Transfer, vol.43, pp.4119-4134.
• [17] Nield D.A., Junqueira S.L.M. and Lage J.L. (1996): Forced convection in a fluid saturated porous medium channel with isothermal or isoflux boundaries. - Journal of Fluid Mechanics, vol.322, pp.201-214.
• [18] Ochoa-Tapia J.A. and Whitaker S. (1995a): Momentum transfer at the boundary between a porous medium and a homogeneous fluid -1. Theoretical development. - International Journal of Heat and Mass Transfer, vol.38, pp.2635-2646.
• [19] Ochoa-Tapia J.A. and Whitaker S. (1995b): Momentum transfer at the boundary between a porous medium and a homogeneous fluid - II. Comparison with experiment. - International Journal of Heat and Mass Transfer, vol.38, pp.2647-2655.
• [20] Puck J.W., Kang B.H., Kim S.Y. and Hyan J.M. (2000): Effective thermal conductivity and permeability of aluminum foam materials. - Int. J. Thermophysics, vol.21, pp.453-464.
• [21] Plumb O.A. (1983): The effect of thermal dispersion on heat transfer in packed bed boundary layers. - Proceedings of ASME JSME Thermal Engineering Joint Conference, vol.2, pp. 17-22.
• [22] Poulikakos D. and Kazmierczak M. (1987): Forced convection in a duct partially filled with a porous material. - ASME Journal of Heat Transfer, vol. 109, pp.653-662.
• [23] Schlichting H. (1979): Boundary Layer Theory. - New York: McGraw-Hill.
• [24] Wakao N. and Kaguei S. (1982): Heat and Mass Transfer in Packed Beds. - New York: Gordon and Breach.
• [25] Vafai K. and Kim S.J. (1989): Forced convection in a channel filled with a porous medium: An exact solution. - ASME Journal of Heat Transfer, vol. 111, pp. 1103-1106.
• [26] Vafai K. and Kim S.J. (1995): Discussion of the paper by A. Hadim Forced convection in a porous channel with localized heat sources. - ASME Journal of Heat Transfer, vol.117, pp.1097-1098.