Abstract
Equations of non-isothermal two-phase filtration are used to solve the problem of water and air flows in melting snow. The mathematical model under study is verified using experimental data.
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REFERENCES
L. S. Kuchment, V. N. Demidov, and Yu. G. Motovilov, River Flow Formation. Physical and Mathematic Models (Nauka, Moscow, 1983) [in Russian].
A. A. Papin and M. A. Tokareva, “Problems of Heat and Mass Transfer in the Snow–Ice Cover," IOP Conf. Ser. Earth Environment. Sci.193, 1–8 (2018).
S. C. Colbeck, “A Theory of Water Percolation in Snow," J. Glaciol. 11 (63), 369–385 (1972).
J. M. N. T. Gray, “Water Movement in Wet Snow," Philos. Trans.: Math. Phys. Eng. Sci. 354 (1707), 465–500 (1996).
S. Sellers, “Theory of Water Transport in Melting Snow with a Moving Surface," Cold Regions Sci. Technol. 2000(31), 47–57 (2000).
R. P. Daanen and J. L. Nieber, “Model for Coupled Liquid Water Flow and Heat Transport with Phase Change in a Snowpack," J. Cold Regions Eng. 23 (2), 43–68 (2009).
A. A. Papin, “Solvabilitity of a Model Problem of Heat and Mass Transfer in Thawing Snow," Prikl. Mekh. Tekh. Fiz.49 (4), 13–23 (2008) [J. Appl. Mech. Tech. Phys.49 (4), 527–536 (2008)].
P. A. Waldner, M. Schneebeli, U. Schultze-Zimmermann, and H. Fluhler, “Effect of Snow Structure on Water Flow and Solute Transport," Hydrolog. Process. 18 (7), 1271–1290 (2008).
R. I. Nigmatulin, Dynamics of Multiphase Media, Vol. 1 (Nauka, Moscow, 1987; CRC Press, 1990).
A. D. Thorpe and B. J. Mason, “The Evaporation of Spheres and Ice Crystals," British J. Appl. Phys. 17, 541–548 (1996).
A. G. Kolesnikov, “Changes in the Mathematic Formulation of the Problem of Freezing Soil," Dokl. Akad. Nauk SSSR 82(6), 889–891 (1953).
Z. A. Nersesova, “Change in Soil Ice Content Depending on Temperature," Dokl. Akad. Nauk SSSR 75 (6), 845–846 (1950).
S. N. Antontsev, A. V. Kazhiktov, and V. N. Monakhov,Boundary Value Problems in Mechanics of Nonhomogeneous Fluids (Nauka, Novosibirsk, 1983; Elsevier, North Holland, 1990).
A. A. Papin and A. N. Sibin, “Simulation of the Motion of a Mixture of Liquid and Solid Particles in Porous Media with Regard to Internal Suffosion," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 82–94 (2019) [Fluid Dyn. 54 (4), 520–534 (2019)].
T. M. van Genuchten, “A Closed Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soil," Soil Sci. Soc. Amer. J. 44, 892–898 (1980).
H. Shimizu, Air Permeability of Deposited Snow(Inst. of Low Temperature Sci., Sapporo, 1970).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 1, pp. 109–118.https://doi.org/10.15372/PMTF20210112.
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Sibin, A.N., Papin, A.A. HEAT AND MASS TRANSFER IN MELTING SNOW. J Appl Mech Tech Phy 62, 96–104 (2021). https://doi.org/10.1134/S0021894421010120
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DOI: https://doi.org/10.1134/S0021894421010120