Metadata (abstracts and keywords) for the articles in the journal
K. N. Pestov, O. N. Lyubimova, M. V. Ostanin The method of solving problems type of Stefan with phase transitions of the first kind // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2019. № 3(41). p. 51-60
Author(s):
K. N. Pestov, O. N. Lyubimova, M. V. Ostanin
Index of UDK:
519.633:517.958
DOI:
10.26293/chgpu.2019.41.3.002
Title:
The method of solving problems type of Stefan with phase transitions of the first kind
The finite-difference method of solving the two-phase Stefan-type problems with several simultaneously existing and variable phase interfaces is proposed. The principle of method consists in entering into the heat conduction equation the additional function – heat source which identifies the position of the phase transition front and is numerically determined on every temporal layer. The calculation results based on the proposed method for problems with pulsed source and twodimensional problem with the inhomogeneous boundary conditions are presented. The results were compared with those of the classical Stefan type problem and quasi-stationary Laybenson solution for the problem of the pipe freezing.
The contact details of authors:
Pestov Konstantin Nikolaevich e-mail: kopestov@yandex.ru, Candidate of physico & mathematical sciences, Far Eastern Federal University, Vladivostok, Russia.
Lyubimova Olga Nikolaevna e-mail: berms@mail.ru, Candidate of physico & mathematical sciences, Far Eastern Federal University, Vladivostok, Russia.
Ostanin Maxim Valentinovich e-mail: ostanin.mv@dvfu.ru, assistant & mathematical sciences, Far Eastern Federal University, Vladivostok, Russia.
Russian
English