A mathematical model describing heat- and mass-exchange processes that are prescribed by differential equations in the domain with a boundary moving with a constant velocity has been constructed for the "plane" problem. Consideration has also been given to the "radial" problem in cylindrical coordinates where the boundary of the domain moves according to the law of the square root of time. The proposed models can be used for description of problems of desalination of soils, extraction, flushing of sediments, and other processes in porous systems.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 84, No. 6, pp. 1162–1174, November–December, 2011.
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Moshinskii, A.I. Application of an equivalent equation to description of heat- and mass-exchange processes determined by differential equations in the domain with a moving boundary. J Eng Phys Thermophy 84, 1247–1262 (2011). https://doi.org/10.1007/s10891-011-0591-8
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DOI: https://doi.org/10.1007/s10891-011-0591-8