Публикации

Application of underdetermined differential algebraic equations to solving one problem from heat mass transfer

Статья конференции
Chistyakov V.F., Chistyakova E.V., Levin A.A.
20th International Conference on Computational Science, ICCS 2020
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12141 LNCS. P.84-93.
9783030504250
2020
This paper addresses a mathematical model of the boiling of subcooled liquid in an annular channel. The model is presented by a mixed system of ordinary differential equations, algebraic relations and a single partial differential equation, which, written together, can be viewed as an underdetermined differential algebraic equation with a partial differential equation attached. Using the tools of the differential algebraic equation theory, we reveal some important qualitative properties of this system, such as its existence domain, and propose a numerical method for its solution. The numerical experiments demonstrated that within the found existence domain the mathematical model adequately represents real-life boiling processes that occur in the experimental setup. © Springer Nature Switzerland AG 2020.

Библиографическая ссылка

Chistyakov V.F., Chistyakova E.V., Levin A.A. Application of underdetermined differential algebraic equations to solving one problem from heat mass transfer // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12141 LNCS. 2020. P.84-93. ISBN (print): 9783030504250. DOI: 10.1007/978-3-030-50426-7_7

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