The Stefan problem for unsteady-state evaporation of a volatile component in the solid-liquid-gas systems: Exact analytical solution / Alexandrov D. V.,Malygin A. P. // INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - 2010. - V. 53, l. 13-14. - P. 2790-2794.

ISSN/EISSN:

0017-9310 / нет данных

Type:

Article

Abstract:

We present a theoretical analysis of isothermal evaporation of a volatile component from a solid phase covered by a liquid layer. We consider binary systems when the covering liquid layer is produced by thermal decomposition of the solid material. It is shown that the relaxation time of the volatile concentration distribution in the liquid is much shorter than the characteristic time of motion of the dissolution 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 developed that involves two moving phase transition interfaces: an evaporating interface and a dissolving interface. Exact analytical solutions of the nonlinear Stefan-type problem under consideration are found in a parametric form. It is shown that the dissolving interface moves faster than the evaporating interface; i.e., the thickness of the liquid layer increases with 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. The model under consideration is extended to the case when the evaporation flux becomes a weakly nonlinear function of the impurity concentration at the evaporating interface. Exact parametric solutions are found in this case too. (C) 2010 Elsevier Ltd. All rights reserved.

Author keywords:

Evaporation; Solid-liquid-gas systems; Moving boundaries NONLINEAR DYNAMICS; CRYSTAL SYSTEM; SOLIDIFICATION; SORBENTS; REGION; MODEL

DOI:

10.1016/j.ijheatmasstransfer.2

Web of Science ID:

ISI:000277793100024

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
Keywords-Plus	NONLINEAR DYNAMICS; CRYSTAL SYSTEM; SOLIDIFICATION; SORBENTS; REGION; MODEL
Research-Areas	Thermodynamics; Engineering; Mechanics
Web-of-Science-Categories	Thermodynamics; Engineering, Mechanical; Mechanics
Author-Email	Dmitri.Alexandrov@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Federal Target Program {[}02.740.11.0202]; Russian Foundation for Basic Research {[}08-01-00298, 10-01-96045]
Funding-Text	This work was made possible in part due to the financial support of the Federal Target Program (project 02.740.11.0202) and Russian Foundation for Basic Research (projects 08-01-00298 and 10-01-96045 Ural).
Number-of-Cited-References	34
Usage-Count-Since-2013	7
Journal-ISO	Int. J. Heat Mass Transf.
Doc-Delivery-Number	597WM