Summary
This paper deals with an analytical investigation of forced convection from a flat plate enhanced by a porous substrate. The flow occurs in a composite channel, which is partially filled with the porous substrate, and partially with a clear fluid. The substrate is attached to the upper plate in the channel, which is subject to a uniform heat flux. The lower plate of the channel is adiabatic. The flow in the porous region is described by the Brinkman-Forchheimer-extended Darcy equation. Utilizing the boundary layer approximation for the flow in the porous substrate, analytical solutions for the flow velocity, temperature distribution, and the Nusselt number are obtained.
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References
Beavers, G. S., Joseph, D. D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech.30, 197–207 (1967).
Larson, R. E., Higdon, J. J. L.: Microscopic flow near the surface of two-dimensional porous media—I. Axial flow. J. Fluid Mech.166, 449–472 (1987).
Larson, R. E., Higdon, J. J. L.: Microscopic flow near the surface of two-dimensional porous media—II. Transverse flow. J. Fluid Mech.178, 119–136 (1987).
Sahraoui, M., Kaviany, M.: Slip and no-slip velocity boundary conditions at interface of porous, plain media. Int. J. Heat Mass Transfer35, 927–943 (1992).
Nield, D. A., Bejan, A.: Convection in porous media, 2nd ed. New York: Springer 1999.
Kaviany, M.: Principles on heat transfer in porous media. New York: Springer 1991.
Kuznetsov, A. V.: Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium. Appl. Sci. Res.56, 53–67 (1996).
Ochoa-Tapia, J. A., Whitaker, S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid—I. Theoretical development. Int. J. Heat Mass Transfer38, 2635–2646 (1995).
Ochoa-Tapia, J. A., Whitaker, S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid—II. Comparison with experiment. Int. J. Heat Mass Transfer38, 2647–2655 (1995).
Kaviany, M.: Laminar flow through a porous channel bounded by isothermal parallel plates. Int. J. Heat Mass Transfer28, 851–858 (1985).
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).
Givler, R. C., Altobelli, S. A.: A determination of the effective viscosity for the Brinkman-Forchheimer flow model. J. Fluid Mech.258, 355–370 (1994).
Kuznetsov, A. V.: Influence of the stress jump boundary condition at the porous medium/clear fluid interface on a flow at a porous wall. Int. Comm. Heat Mass Transfer24, 401–410 (1997).
Bejan, A.: Heat transfer. New York: Wiley 1993.
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Kuznetsov, A.V. Analytical investigation of forced convection from a flat plate enhanced by a porous substrate. Acta Mechanica 137, 211–223 (1999). https://doi.org/10.1007/BF01179210
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DOI: https://doi.org/10.1007/BF01179210