2011
DOI: 10.1016/j.jmaa.2010.08.038
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Perturbation analysis of the heat transfer in porous media with small thermal conductivity

Abstract: An approximate analytical solution for the one-dimensional problem of heat transfer between an inert gas and a porous semi-infinite medium is presented. Perturbation methods based on Laplace transforms have been applied using the solid thermal conductivity as small parameter. The leading order approximation is the solution of Nusselt (or Schumann) problem. Such solution is corrected by means of an outer approximation. The boundary condition at the origin has been taking into account using an inner approximatio… Show more

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Cited by 11 publications
(9 citation statements)
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“…More sophisticated analytical treatments of packed bed systems can be also be found, i.e. Villatoro et al [38].…”
Section: Heat Storage In Packed Bedsmentioning
confidence: 99%
“…More sophisticated analytical treatments of packed bed systems can be also be found, i.e. Villatoro et al [38].…”
Section: Heat Storage In Packed Bedsmentioning
confidence: 99%
“…The solution to Equations 7.1 and 7.2 yields the Schumann Curves for the temperature profile of the bed. A more sophisticated treatment of systems like this using perturbation methods can be found in Villatoro et al (2011).…”
Section: Heat Transfer In a Packed Bed Heat Exchangermentioning
confidence: 99%
“…Perturbation methods are applied among others to obtain an approximate analytical solution involving the problems of one-dimensional thermal transmittance through porous materials. Such materials are characterized by a very low design thermal conductivity, which can play the role of a small parameter [28,35].…”
Section: Introductionmentioning
confidence: 99%