|
ИСТИНА |
Войти в систему Регистрация |
ИСТИНА ФИЦ ПХФ и МХ РАН |
||
Continuous and jumping stationary transitions of a two-speed multiphase medium from one state to anotherстатья
- Авторы: Kroshilin Alexander Evgen`evich, Kroshilin Vladimir Evgen`evich
- Журнал: Mathematica Montisnigri
- Том: 60
- Год издания: 2024
- Первая страница: 58
- Последняя страница: 69
- DOI: 10.20948/mathmontis-2024-60-5
- Аннотация: A model of two-velocity multiphase medium with equal phase pressures wasinvestigated. Two pulse equations were used where interphase force has a stabilizing termdepending on flow parameters gradient. Phases were assumed incompressible. It was shownthat this asssumption does not have any impact on the main conclusions while the model issignificantly simplified. One does not need any energy equations because the movement doesnot depend on phase temperatures. Two differential equations describing relative phasemovement were derived. Each of the two differential equations describing relative phasemovement leads to its own wave velocity. For a steady-state stable transition when the mixtureparameters do not change with time in some coordinate system (a steady-state or automodelflow) wave velocity must be equal for all the differential equations. This gives a condition forcalculation of the stabilizing term. We defined conditions for continuous transition from onestate to another as well as conditions when this transition can be only discontinuous. Analyticalsolutions helped us to find stabilizing term for interphase friction force (the only posssible inthe corresponding class).
- Добавил в систему: Крошилин Владимир Евгеньевич