Toward a theory of evaporation processes in liquid-solid systems / Alexandrov D.V. // Journal of Experimental and Theoretical Physics. - 2009. - V. 109, l. 3. - P. 451-454.

ISSN:

10637761

Type:

Article

Abstract:

A theoretical analysis is presented of isothermal evaporation of a volatile component from a solid covered by a liquid layer. Binary compounds are considered, with the covering liquid produced by thermal decomposition of the solid material. It is shown that the relaxation time of the volatile concentration profile is much shorter than the characteristic time of motion of the melting interface; i.e., the instantaneous profile of volatile concentration at any time is a linear function of the spatial coordinate. A new nonlinear Stefan-type problem of evaporation in a solid-liquid-vacuum system is formulated that involves two moving phase transition interfaces: an evaporating interface and a melting interface. Exact analytical solutions to the problem are found. It is shown that the melting interface moves faster than the evaporating interface; i.e., the thickness of the liquid layer increases with time, its growth rate increasing with evaporation rate coefficient. It is demonstrated that the concentration profile evolves self-similarly in the course of time. An increase in evaporation rate coefficient leads to a steepening of the concentration gradient across the liquid layer, changing the volatile concentration at the evaporating interface, and the evaporative flux changes accordingly. © 2009 Pleiades Publishing, Ltd.

Author keywords:

Index keywords:

Binary compounds; Characteristic time; Concentration gradients; Concentration profiles; Evaporation process; Evaporation rate; Evaporative flux; Exact analytical solutions; Isothermal evaporation; Lin

DOI:

10.1134/S1063776109090106

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-70350414418&doi=10.1134%2fS1063776109090106&partnerID=40&md5=06e0df378833e3841e7dcdbbc7cfa2bd

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Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-70350414418&doi=10.1134%2fS1063776109090106&partnerID=40&md5=06e0df378833e3841e7dcdbbc7cfa2bd
Affiliations	Ural State University, Yekaterinburg 620083, Russian Federation
References	Mansurov, V.V., Chuntonov, K.A., (1995) Zh. Fiz. Khim., 69 (4), p. 727. , [Russ. J. Phys. Chem. 69 (4), 662 (1995)]; Rubinshteǐn, L.I., (1967) The Stefan Problem, , Zvaǐgzne Riga; Alexandrov, D.V., Ivanov, A.A., (2009) Zh. Éksp. Teor. Fiz., 135 (5), p. 942. , [JETP 108 (5), 821 (2009)]; Hirth, J.P., Pound, G.M., (1963) Condensation and Evaporation: Nucleation and Growth Kinetics, , Pergamon Oxford; Skripov, V.P., (1972) Metastable Liquid, , Nauka Moscow; Yabko, I.A., Zolotarev, P.P., (1986) Zh. Fiz. Khim., 60 (2), p. 371; Manzon, B.M., Ramendik, G.I., (1987) Zh. Fiz. Khim., 61 (4), p. 1070; Chuntonov, K.A., Mansurov, V.V., Intermetallic generators of alkali metal with a seal (1996) Vacuum, 47 (5), pp. 463-466. , DOI 10.1016/0042-207X(95)00192-1; Alexandrov, D.V., Malygin, A.P., (2006) Dokl. Akad. Nauk, 411 (3), p. 390. , [Dokl. Earth Sci. 411 (9), 1407 (2006)]; Alexandrov, D.V., Nizovtseva, I.G., (2008) Dokl. Akad. Nauk, 419 (2), p. 262. , 1164.86003 [Dokl. Earth Sci. 419 (1), 359 (2008)]; Chuntonov, K., Setina, J., Ivanov, A., Permikin, D., New lithium gas sorbent. III. Experimental data on evaporation (2008) Journal of Alloys and Compounds, 460 (1-2), pp. 357-362. , DOI 10.1016/j.jallcom.2007.06.055, PII S0925838807014041; Chuntonov, K., Ivanov, A., Permikin, D., (2008) J. Alloys Compd., 456, p. 187. , 10.1016/j.jallcom.2007.02.065; Alexandrov, D.V., Ivanov, A.O., (2002) Dokl. Akad. Nauk, 385 (3), p. 323. , [Dokl. Phys. 47 (1-3), 499 (2002)]; Alexandrov, D.V., Bulitcheva, S.V., Komarovski, M.E., Malygin, A.P., (2003) J. Optoelectron. Adv. Mater., 5 (3), p. 635
Correspondence Address	Alexandrov, D. V.; Ural State University, Yekaterinburg 620083, Russian Federation; email: Dmitri.Alexandrov@usu.ru
Language of Original Document	English
Abbreviated Source Title	J. Exp. Theor. Phys.
Source	Scopus