Abstract
The effect of the convective heat transfer component on the temperature field and thawing front dynamics of soils is investigated for high fluid percolation velocities in the thawed zone. The steady state interchange and approximate self-similarity methods are used to obtain upper and lower bounds of the solution of the Stefan problem with a convective heat transfer component in a porous medium. From the results of the calculations conclusions are drawn concerning the accuracy and limits of applicability of the solutions obtained.
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A. V. Pavlov, Heat Transfer Between the Soil and the Atmosphere in the Northern and Middle Latitudes of the Territory of the USSR [in Russian], Kn. Izd., Yakutsk (1975).
G. Z. Perl'shtein, Hydrothermal Reclamation of Frozen Soils in the North-Eastern USSR [in Russian], Nauka, Novosibirsk (1979).
G. M. Fel'dman, Prediction of the Soil Temperature Regime and the Development of Cryogenic Processes [in Russian], Nauka, Novosibirsk (1977).
M. S. Krass, F. E. Popenko, and Yu. A. Evseev, “Prediction of the temperature regime of aluvial beds in the flood plane of the river Lena,” in: Problems of the Mechanics of Natural Processes [in Russian], Izd. MGU, Moscow (1983), p. 26.
R. I. Medvedskii, “Upper and lower limits of the exterior single-phase Stefan problem,” in: Mathematical Modeling and Experimental Investigation of Heat and Mass Transfer Processes [in Russian], Yakutsk (1979), p. 71.
Ali-Hasan Nayfeh, Perturbation Methods, Wiley, New York (1973).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1961).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 166–171, March–April, 1987.
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Zvyagin, V.V. Effect of the percolation heat transfer component on the temperature field and thawing dynamics of soils. Fluid Dyn 22, 305–309 (1987). https://doi.org/10.1007/BF01052268
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DOI: https://doi.org/10.1007/BF01052268