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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Gorin, A.V. (2012). On Analogy Between Convective Heat and Mass Transfer Processes in a Porous Medium and a Hele-Shaw Cell. In: Delgado, J. (eds) Heat and Mass Transfer in Porous Media. Advanced Structured Materials, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21966-5_6
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