Phase transitions in solid-liquid-gas systems with applications to alkali metal generators / Alexandrov D.V., Malygin A.P. // Physica A: Statistical Mechanics and its Applications. - 2010. - V. 389, l. 10. - P. 2063-2069.

ISSN:

03784371

Type:

Article

Abstract:

Motivated by physical applications we consider a mathematical model describing the evaporation process in solid-liquid-gas systems with two moving boundaries of the phase transition. An alkali metal generator with a working substance in the form of an intermetallic compound and the evaporation of a volatile component into a vacuum is considered. Explicit analytical solutions of the problem under consideration are constructed in three different geometries of the process. We demonstrate that the evaporation boundary moves much more slowly than the dissolution boundary and the liquid layer thickness increases with time. The role of the evaporation coefficient on the evaporation stream and the nonlinear dynamics of the process is studied. An approach developed in the present study can be used for solutions of mathematical models describing similar Stefan-type processes met in other areas of applied physics. © 2010 Elsevier B.V. All rights reserved.

Author keywords:

Evaporation; Melting; Phase changes

Index keywords:

Analytical solutions; Applied physics; Different geometry; Evaporation coefficients; Evaporation process; Intermetallic compounds; Liquid layer thickness; Melting phase; Moving boundaries; Non-linear

DOI:

10.1016/j.physa.2009.12.060

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-77649273671&doi=10.1016%2fj.physa.2009.12.060&partnerID=40&md5=4a1a65b4424c4ab75e9dac8cdc6fa999

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-77649273671&doi=10.1016%2fj.physa.2009.12.060&partnerID=40&md5=4a1a65b4424c4ab75e9dac8cdc6fa999
Affiliations	Urals State University, Department of Mathematical Physics, Lenin ave. 51, Ekaterinburg, 620083, Russian Federation
Author Keywords	Evaporation; Melting; Phase changes
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Correspondence Address	Alexandrov, D.V.; Urals State University, Department of Mathematical Physics, Lenin ave. 51, Ekaterinburg, 620083, Russian Federation; email: dmitri.alexandrov@usu.ru
CODEN	PHYAD
Language of Original Document	English
Abbreviated Source Title	Phys A Stat Mech Appl
Source	Scopus