×

zbMATH — the first resource for mathematics

Analytical investigation of heat transfer in Couette flow through a porous medium utilizing the Brinkman-Forchheimer-extended Darcy model. (English) Zbl 0914.76084
Summary: We investigate the combined problem of fluid flow and heat transfer in Couette flow through a rigid saturated porous medium. The fluid flow occurs due to a moving wall, and it is described by the Brinkman-Forchheimer-extended Darcy equation. Two heat transfer situations are considered: (A) isoflux-fixed wall and insulated moving wall, and (B) insulated fixed wall and isoflux-moving wall. We obtain analytical solutions for the flow velocity, temperature distribution, and for the Nusselt number.

MSC:
76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Nield, D. A., Bejan, A.: Convection in porous media. New York: Springer 1992. · Zbl 1256.76004
[2] Kaviany, M.: Laminar flow, through a porous channel bounded by isothermal parallel plates. Int. J. Heat Mass Transfer28, 851-858 (1985). · doi:10.1016/0017-9310(85)90234-0
[3] Nakayama, A., Koyama, H., Kuwahara, F.: An analysis on forced convection in a channel filled with a Brinkman-Darcy porous medium: Exact and approximate solutions. Wärme Stoffübertragung23, 291-295 (1988). · doi:10.1007/BF01001055
[4] Cheng, P., Hsu, C. T., Chowdhury, A.: Forced convection in the entrance region of a packed channel with asymmetric heating. ASME J. Heat Transfer110, 946-954 (1988). · doi:10.1115/1.3250597
[5] Vafai, K., Kim, S. J.: Forced convection in a channel filled with a porous, medium: an exact solution. ASME J. Heat Transfer111, 1103-1106 (1989). · doi:10.1115/1.3250779
[6] Nield, D. A., Junqueira, S. L. M., Lage, J. L.: Forced convection in a fluid saturated porous medium channel with isothermal or isoflux, boundaries. J. Fluid Mech.322, 201-214 (1996). · Zbl 0882.76086 · doi:10.1017/S0022112096002765
[7] Nakayama, A.: Non-Darcy Couette flow in a porous medium filled with an inelastic non-Newtonian fluid. Trans. ASME J. Fluids Eng.114, 642-647 (1992). · doi:10.1115/1.2910080
[8] Daskalakis, J.: Couette flow through a porous medium of high Prandtl number fluid with temperature-dependent viscosity. Int. J. Energy Res.14, 21-26 (1990). · doi:10.1002/er.4440140104
[9] Bhargava, S. K., Sacheti, N. C.: Heat Transfer in generalized Couette flow of two immiscible Newtonian fluids through a porous channel: use of Brinkman model. Ind. J. Techn.27, 211-214 (1989). · Zbl 0719.76503
[10] Vafai, K., Kim, S. J.: Discussion of the paper by A. Hadim ?Forced convection in a porous channel with localized heat sources?. ASME J. Heat Transfer117, 1097-1098 (1995). · doi:10.1115/1.2836294
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.