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/EISSN:

1063-7761 / 1090-6509

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.

Author keywords:

2-PHASE ZONE; CRYSTALLIZATION; VACUUM

DOI:

10.1134/S1063776109090106

Web of Science ID:

ISI:000271105900010

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1090-6509
Keywords-Plus	2-PHASE ZONE; CRYSTALLIZATION; VACUUM
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	Dmitri.Alexandrov@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00298, 09-08-00844, 07-03-96069 Ural, 07-01-96091]; Ministry of Education and Science, {[}2.1.1/2571]
Funding-Text	This work was supported by the Russian Foundation for Basic Research, project nos. 08-01-00298, 09-08-00844, 07-03-96069 Ural, and 07-01-96091 Ural and by the Ministry of Education and Science, project 2.1.1/2571.
Number-of-Cited-References	14
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	8
Journal-ISO	J. Exp. Theor. Phys.
Doc-Delivery-Number	510QP