Journal of Siberian Federal University. Engineering & Technologies / The Stefan Problem Solution by the Moving Boundary Conjugate Equation

Full text (.pdf)
Issue
Journal of Siberian Federal University. Engineering & Technologies. 2014 7 (8)
Authors
Khagleev, Evgeny P.
Contact information
Khagleev, Evgeny P.:Siberian Federal University 79 Svobodny, Krasnoyarsk, 660041, Russia;E-mail:
Keywords
modeling; heat exchange; phase transformation; latent heat of phase transformation; moving boundary; Stefan boundary condition; conjugate equation; mathematical and physical models
Abstract

The conjugate equation, describing intensity of phase transformation of a substance on the moving boundary, is used in the Stefan problem instead of the traditionally applied boundary condition of the fourth type (Stefan condition). At the numerical solution of the problem on the one hand the conjugate equation allows to carry out the shock-capturing method without reorganization of grid areas, on the other hand – accurately trace the position of the moving boundary. The estimation of adequacy of the wet ground layer freezing process mathematical modeling in the new statement is carried out to the real process

Pages
894-910
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/16549

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