A model of liquid level measurements
- Авторлар: Filatov O.P.1
-
Мекемелер:
- Samara State University
- Шығарылым: Том 56, № 12 (2016)
- Беттер: 2084-2093
- Бөлім: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178832
- DOI: https://doi.org/10.1134/S0965542516120095
- ID: 178832
Дәйексөз келтіру
Аннотация
A model of measuring the level of a viscous incompressible liquid in a tank as based on the liquid level in a measuring tube is investigated. The tank is in the field of gravity, and the tank liquid level varies according to some law. As a result, a Dirichlet boundary value problem for a nonlinear integrodifferential equation of parabolic type is obtained. A global existence and uniqueness theorem is proved for a weak solution of the problem. In the case of a tank level decreasing linearly with time, it is shown numerically that the liquid level in the measuring tube oscillates with a decaying amplitude with respect to the tank level.
Авторлар туралы
O. Filatov
Samara State University
Хат алмасуға жауапты Автор.
Email: filatov_oleg@samaradom.ru
Ресей, Samara, 443090
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