Abstract
The paper presents a solution to the problem on the non-stationary heat exchange between ventilating air and rocks. The integral relationships for calculating temperatures of air and surrounding rocks are obtained by using the Laplace transforms. Also, their convergence is tested on the example of emergency under reversal of main ventilating facility in a winter period. It is shown that the short-duration heat exchange phenomena should be calculated on the approximation of small times.
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B. P. Kazakov and A. V. Shalimov, “The connected task of non-stationary heat exchange between mine air and mining massif,” in: Proceedings of the 7th International Mine Ventilation Congress, Poland (2001).
O. A. Kremnev, “Heat exchange between a ventilation stream and rock masses in old mines and workings,” Trudy ITE AN USSR, No. 10 (1954).
V. B. Komarov and Sh. Kh. Kil’keev, Mine Ventilation [in Russian], Nedra, Moscow (1959).
G. B. Dvait, Tables of Integrals and Other Mathematical Formulae [in Russian], Nauka, Moscow (1973).
A. F. Voropaev, Theory of Heat Exchange between Mine Air and Rocks in Deep Mines [in Russian], Moscow (1966).
Yu. P. Ol’khovikov, Lining in Permanent Potassium and Salt Workings [in Russian], Nedra, Moscow (1984).
S. L. Sobolev, Mathematical Physics Equations [in Russian], Nedra, Moscow (1950).
B. P. Kazakov and A. V. Shalimov, “Temperature of the ventilation shaft lining under reversal of main ventilating facilities,” Bezop. Truda Prom., No. 10 (2006).
A. E. Krasnoshtein, B. P. Kazakov, and A. V. Shalimov, “Mathematical modeling of heat exchange between mine air and rock mass during fire,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (2006).
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Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 5, pp. 77–85, September–October, 2007.
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Krasnoshtein, A.E., Kazakov, B.P. & Shalimov, A.V. Modeling phenomena of non-stationary heat exchange between mine air and a rock mass. J Min Sci 43, 522–529 (2007). https://doi.org/10.1007/s10913-007-0055-x
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DOI: https://doi.org/10.1007/s10913-007-0055-x