Страница публикации

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

Авторы: Chistyakov V.F., Chistyakova E.V., Levin A.A.

Журнал: Lecture Notes in Computer Science

Том: 12141

Номер:

Год: 2020

Отчётный год: 2020

Издательство:

Местоположение издательства:

URL:

Проекты:

DOI: 10.1007/978-3-030-50426-7_7

Аннотация: 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.

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет

Публикация в печати: 0