Abstract
On the basis of the thermodynamics of irreversible processes, an equation is derived for the estimation of the average rate ¯vn of contact melting in conditions of non-steady-state diffusion when the liquid is not drawn away from the contact zone and its thickness increases with time. If follows from the derived equation that ¯vn ∼ 1/√t, where t is the melting time. A formula is also obtained for the rate of contact melting in the steady state, vs; under certain conditions this formula coincides with the equations obtained by other authors.
Similar content being viewed by others
Literature cited
P. A. Savintsev and A. V. Vyatkina, Izv. VUZ. Chernaya Metallurgiya, No. 11, 89 (1959).
P. A. Savintsev, V. E. Avericheva, V. Ya. Zlenko, A. V. Vyatkina, and M. I. Ignat'eva, Izv. VUZ. Fiz., No. 5, 128 (1959).
P. A. Savintsev, V. E. Avericheva, and M. V. Kostyukevich, Izv. VUZ. Fiz., No. 4, 107 (1960).
L. K. Savitskaya, Izv. VUZ. Fiz., No. 6, 132 (1962).
D. E. Temkin, Izv. Akad. Nauk SSSR, Metally, No. 3, 219 (1967).
A. A. Popov, Zavod. Lab.,17, 684 (1951).
P. A. Savintsev and V. I. Rogbv, Zavod, Lab., 35, 195 (1969).
P. A. Savintsev and V. I. Rogov, Fiz. Met. Metallov.,26, No. 6, 1119 (1968).
L. Onsager, Phys. Rev.,37, 405;38, 2265 (1931).
L. K. Savitskaya and A. P. Savitskii, in: Surface Phenomena in Melts and in Solid Phases Arising in Melts, Kabardino-Balkarskoe Knizhnoe Izd., Nal'chik (1965).
R. Haase, Thermodynamics of Irreversible Processes [Russian translation], Mir (1967).
S. de Groot, Thermodynamics of Irreversible Processes, Wiley (1951).
D. A. Frank-Kamenetskii, Diffusion and Heat Conduction in Chemical Kinetics [in Russian], Nauka, Moscow (1967).
N. N. Nilova, G. M. Bartenev, V. T. Borisov, and Yu. E. Matveev, Dokl. Akad. Nauk SSSR,180, 394 (1968).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavadenii, Fizika, No. 12, pp. 66–71, December, 1970.
Rights and permissions
About this article
Cite this article
Shebzukhov, A.A., Mikhailyuk, A.G. & Savintsev, P.A. Estimate of the rate of contact melting of metals in the nonstationary-diffusion regime by the methods of the thermodynamics of irreversible processes. Soviet Physics Journal 13, 1607–1612 (1970). https://doi.org/10.1007/BF00820115
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00820115