Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature Full article
| Journal |
Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Output data | Year: 2025, Volume: 65, Number: 2, Pages: 383-402 Pages count : 20 DOI: 10.1134/s0965542524701975 | ||||||
| Tags | polymer fluid, mesoscopic rheological model, pulsed effect, Poiseuille-type flow, loss of stability, critical relations between parameters, polynomial with Dirichlet kernel, rational barycentric interpolation | ||||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
| 2 | Russian Science Foundation | 23-21-00499 |
Abstract:
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.
Cite:
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
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
Original:
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
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
Dates:
| Submitted: | Sep 10, 2024 |
| Accepted: | Nov 8, 2024 |
| Published print: | Feb 19, 2025 |
| Published online: | Mar 26, 2025 |
Identifiers:
| Web of science: | WOS:001454431900004 |
| Scopus: | 2-s2.0-105001570737 |
| Elibrary: | 80504630 |
| OpenAlex: | W4408853622 |
Citing:
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