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2012 | OriginalPaper | Chapter

On Analogy Between Convective Heat and Mass Transfer Processes in a Porous Medium and a Hele-Shaw Cell

Author : A. V. Gorin

Published in: Heat and Mass Transfer in Porous Media

Publisher: Springer Berlin Heidelberg

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Abstract

Convective heat and mass transfer from bodies of classic geometry, a plate and a cylinder, embedded in a porous infiltrated medium and a line source located in a saturated porous medium is studied with the use of the Hele-Shaw analogy. The set of partial differential equations for steady-state, gap-averaged, two-dimensional heat and mass transfer and fluid flow with constant viscosity are identical with those for the Darcy flow regime in porous media and whose permeability K is h 2/12. All theoretical solutions are verified by the experimental data on processes in the Hele-Shaw cell and then compared with available experimental data on convective transfer processes in porous media. The findings indicate that convective transport phenomena in a Hele-Shaw cell share many features of those in porous media even though the phenomena in the cell are constrained to an essentially two-dimensional convection patterns. The validity of Hele-Shaw analogy for convective transport phenomena in porous media is discussed and the limits of applicability are determined where possible.

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previous chapter Lungs as a Natural Porous Media: Architecture, Airflow Characteristics and Transport of Suspended Particles
next chapter Heat and Mass Transfer in Porous Materials with Complex Geometry: Fundamentals and Applications
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Metadata
Title
On Analogy Between Convective Heat and Mass Transfer Processes in a Porous Medium and a Hele-Shaw Cell
Author
A. V. Gorin
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
Book
Heat and Mass Transfer in Porous Media

Print ISBN: 978-3-642-21965-8

Electronic ISBN: 978-3-642-21966-5

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-642-21966-5_6

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