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Heat Transfer Through a Porous Medium

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Convection in Porous Media

Abstract

In this chapter we focus on the equation that expresses the first law of thermodynamics in a porous medium. We start with a simple situation in which the medium is isotropic and where radiative effects, viscous dissipation, and the work done by pressure changes are negligible. Very shortly we shall assume that there is local thermal equilibrium so that T s = T f = T, where T s and T f are the temperatures of the solid and fluid phases, respectively. Here we also assume that heat conduction in the solid and fluid phases takes place in parallel so that there is no net heat transfer from one phase to the other. More complex situations will be considered in Sect. 6.5. The fundamentals of heat transfer in porous media are also presented in Bejan et al. (2004) and Bejan (2004a).

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Authors and Affiliations

  1. Department of Engineering Science, University of Auckland, Auckland, 1142, New Zealand

    Donald A. Nield

  2. Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, 27708, USA

    Adrian Bejan

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Nield, D.A., Bejan, A. (2013). Heat Transfer Through a Porous Medium. In: Convection in Porous Media. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5541-7_2

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