Finding Steady Poiseuille-Type Flows for Incompressible Polymeric Fluids by the Relaxation Method Научная публикация
| Журнал |
Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
||||
|---|---|---|---|---|---|
| Вых. Данные | Год: 2022, Том: 62, Номер: 2, Страницы: 302-315 Страниц : 14 DOI: 10.1134/S0965542522020051 | ||||
| Ключевые слова | mesoscopic rheological model; method without saturation; polymeric fluid; steady Poiseuille flow; switching of stabilized solution | ||||
| Авторы |
|
||||
| Организации |
|
Информация о финансировании (1)
| 1 | Российский научный фонд | 20-11-20036 |
Реферат:
Abstract: Stabilization of flows of an incompressible viscoelastic polymeric fluid in a channel with a rectangular cross section under the action of a constant pressure drop is analyzed numerically. The flows are described within the Pokrovskii–Vinogradov rheological mesoscopic model. An algorithm for solving initial-boundary value problems for nonstationary equations of the model is developed. It uses spatial interpolations with Chebyshev nodes and implicit time integration scheme. It is shown analytically that, in the steady state, the model admits three highly smooth solutions. The question of which of these solutions is realized in practice is investigated by calculating the limit of the solutions of nonstationary equations. It is found that this limit coincides, with high accuracy, with one of the three solutions of the steady-state problem, and the values of parameters at which the switching from one of these solutions to another occurs are calculated. © 2022, Pleiades Publishing, Ltd.
Библиографическая ссылка:
Blokhin A.M.
, Semisalov B.V.
Finding Steady Poiseuille-Type Flows for Incompressible Polymeric Fluids by the Relaxation Method
Computational Mathematics and Mathematical Physics. 2022. V.62. N2. P.302-315. DOI: 10.1134/S0965542522020051 WOS Scopus РИНЦ OpenAlex
Finding Steady Poiseuille-Type Flows for Incompressible Polymeric Fluids by the Relaxation Method
Computational Mathematics and Mathematical Physics. 2022. V.62. N2. P.302-315. DOI: 10.1134/S0965542522020051 WOS Scopus РИНЦ OpenAlex
Оригинальная:
Блохин А.М.
, Семисалов Б.В.
Нахождение стационарных течений пуазейлевского типа для несжимаемой полимерной жидкости методом установления
Журнал вычислительной математики и математической физики. 2022. Т.62. №2. С.305–319. DOI: 10.31857/S0044466922020065 РИНЦ OpenAlex
Нахождение стационарных течений пуазейлевского типа для несжимаемой полимерной жидкости методом установления
Журнал вычислительной математики и математической физики. 2022. Т.62. №2. С.305–319. DOI: 10.31857/S0044466922020065 РИНЦ OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000767355700010 |
| Scopus: | 2-s2.0-85126250299 |
| РИНЦ: | 48191248 |
| OpenAlex: | W4220882802 |