By Donald A. Nield, Adrian Bejan
Convection in Porous Media, 4th version, offers a hassle-free creation to the topic, overlaying a variety of issues, resembling fibrous insulation, geological strata, and catalytic reactors. The presentation is self-contained, requiring in simple terms regimen arithmetic and the fundamental parts of fluid mechanics and warmth move. The booklet should be of use not just to researchers and working towards engineers as a overview and reference, but additionally to graduate scholars and others coming into the sphere. the hot version positive factors nearly 1,750 new references and covers present examine in nanofluids, mobile porous fabrics, robust heterogeneity, pulsating circulation, and more.
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Additional info for Convection in Porous Media
The (v·∇)v term is generally small in comparison with the quadratic drag term (see Sect. 2) and then it seems best to drop it in numerical work. This term needs to be retained in the case of highly porous media. Also, at least the irrotational part of the term needs to be retained in order to account for the phenomenon of choking in high-speed flow of a compressible fluid (Nield 1994b). Nield suggested that the rotational part, proportional to the intrinsic vorticity, be deleted. His argument is based on the expectation that a medium of low porosity will allow scalar entities like fluid speed to be freely advected, but will inhibit the advection of vector quantities like vorticity.
The figure illustrates the intermediate size relative to the sizes of the flow domain and the pores Bachmat (1990). , Georgiadis and Catton 1987, 1988; Georgiadis 1991). For an extensive treatment of the method of volume averaging the reader is referred to Whitaker (1999). 2 Porosity The porosity ’ of a porous medium is defined as the fraction of the total volume of the medium that is occupied by void space. Thus, 1 À ’ is the fraction that is occupied by solid. , the fraction of void area to total area of a typical cross section) will normally be equal to ’.
This has been confirmed for two cases by Lage (1992) and Manole and Lage (1993). Thus, it is not appropriate to retain the convective inertia term but drop the quadratic drag term. A momentum equation with a Forchheimer correction was obtained using the method of volume averaging by Whitaker (1996). A generalized Forchheimer equation for two-phase flow based on hybrid mixture theory was proposed by Bennethum and Giorgi (1997). Other derivations have been given by Giorgi (1997) (via matched asymptotic expansions), Chen et al.