Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature | Sciact - Система учета научной деятельности ИМ СО РАН

Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature Научная публикация

Журнал

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662

Вых. Данные

Год: 2025, Том: 65, Номер: 2, Страницы: 383-402 Страниц : 20 DOI: 10.1134/s0965542524701975

Ключевые слова

polymer fluid, mesoscopic rheological model, pulsed effect, Poiseuille-type flow, loss of stability, critical relations between parameters, polynomial with Dirichlet kernel, rational barycentric interpolation

Авторы

Semisalov B.V. ^1,3 , Bugoets I.A. ^1,2,3 , Kutkin L.I. ^2,3 , Shapeev V.P. ^2,3

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
2	Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences
3	Novosibirsk State University

Информация о финансировании (2)

1	Институт математики им. С.Л. Соболева СО РАН	FWNF-2022-0008
2	Российский научный фонд	23-21-00499

A system of nonstationary partial differential equations is obtained, describing non-isothermal Poiseuille-type flows of an incompressible viscoelastic polymer fluid in a channel with a cross-section between two confocal ellipses. For the system we posed an initial-boundary value problem describing the flow in the nozzle of a 3D printer with a heating element under the pulsed action of the pressure gradient in the nozzle and of the temperature of the element. For the numerical solution of the problem, an algorithm is developed that takes into account the singularities of the sought-for functions and is based on polynomial and rational approximations in spatial variables and on the use of an implicit difference scheme in time. The distributions of the velocity and temperature of the fluid in the channel, as well as the dependences of flow rate and of average temperature on time, are studied. The critical relations between the amplitudes and durations of impulses acting on the fluid, at which the flow loses stability, are calculated.

Semisalov B.V. , Bugoets I.A. , Kutkin L.I. , Shapeev V.P.
Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature
Computational Mathematics and Mathematical Physics. 2025. V.65. N2. P.383-402. DOI: 10.1134/s0965542524701975 WOS Scopus РИНЦ OpenAlex

Семисалов Б.В. , Бугоец И.А. , Куткин Л.И. , Шапеев В.П.
Численный анализ потери устойчивости пуазейлевских течений полимерной жидкости под импульсным воздействием давления и температуры
Журнал вычислительной математики и математической физики. 2025. Т.65. №2. С.203-221. DOI: 10.31857/S0044466925020072 РИНЦ

Поступила в редакцию:	10 сент. 2024 г.
Принята к публикации:	8 нояб. 2024 г.
Опубликована в печати:	19 февр. 2025 г.
Опубликована online:	26 мар. 2025 г.

Web of science:	WOS:001454431900004
Scopus:	2-s2.0-105001570737
РИНЦ:	80504630
OpenAlex:	W4408853622

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