By Donald A. Nield, Adrian Bejan
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Extra resources for Convection in Porous Media
More complicated correlation formulas for the conductivity of packed beds have been proposed. Experiments by Prasad et al. (1989) showed that these formulas gave reasonably good results provided that kt was not significantly greater than ks. The agreement when kf » ks was not good, the observed conductivity being greater than that predicted. This discrepancy may be due to porosity variation near the walls. 7. Some of the discrepancy may be due to the difficulty of measuring a truly stagnant thermal conductivity in this case (Nield, 199Ib).
24) where uf is the velocity in the fluid and Urn is the seepage velocity in the porous medium. It is understood that in Eq. 24) uf and aUf I ay are evaluated at y 0+ and Urn is evaluated at some small distance from the plane y 0, so there is a thin layer just inside the medium over which the transition in velocity takes place. The quantity UBI is dimensionless and is independent of the viscosity of the fluid, but it depends on the material parameters that characterize the structure of the penneable material within the boundary region.
Let the subscript i refer to the ith component (component i) of the mixture. mj. 2) Clearly the unit of concentration is kg m- 3 . Instead of C j the alternative notation Pi is appropriate if one thinks of each component spread out over the total volume V. When chemical reactions are of interest it is convenient to work in tenns of an alternative description, one involving the concept of mole. By definition, a mole is the amount of substance that contains as many molecules as there are in 12 grams of carbon 12.
Convection in Porous Media by Donald A. Nield, Adrian Bejan