Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On a Scenario of Transition to Turbulence for a Polymer Fluid Flow in a Circular Pipe. / Semisalov, B. V.
в: Mathematical Models and Computer Simulations, Том 16, № 2, 04.2024, стр. 197-207.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On a Scenario of Transition to Turbulence for a Polymer Fluid Flow in a Circular Pipe
AU - Semisalov, B. V.
N1 - This study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences (project no. FWNF-2022-0008).
PY - 2024/4
Y1 - 2024/4
N2 - Abstract: Equations describing nonstationary and stationary flows of an incompressible polymer fluid through a pipe are derived based on the rheological mesoscopic Pokrovskii–Vinogradov model. Their exact stationary solutions are obtained and conditions providing their existence are outlined. Numerical simulation of the stabilization of a nonstationary flow is carried out and the restrictions on the values of parameters that ensure stabilization are computed. In a number of cases these restrictions coincide with the conditions of the existence of stationary solutions. The obtained results enable us to describe constructively the process of destruction of laminar Poiseuille-type flows, which usually initiates the onset of turbulence. The key role in mechanics of this process is played by the size and orientation of macromolecules of the polymer fluid. The mathematical description of the process uses essentially the solutions’ singular points.
AB - Abstract: Equations describing nonstationary and stationary flows of an incompressible polymer fluid through a pipe are derived based on the rheological mesoscopic Pokrovskii–Vinogradov model. Their exact stationary solutions are obtained and conditions providing their existence are outlined. Numerical simulation of the stabilization of a nonstationary flow is carried out and the restrictions on the values of parameters that ensure stabilization are computed. In a number of cases these restrictions coincide with the conditions of the existence of stationary solutions. The obtained results enable us to describe constructively the process of destruction of laminar Poiseuille-type flows, which usually initiates the onset of turbulence. The key role in mechanics of this process is played by the size and orientation of macromolecules of the polymer fluid. The mathematical description of the process uses essentially the solutions’ singular points.
KW - Poiseuille-type flow
KW - exact solution
KW - laminar-turbulent transition
KW - mesoscopic model
KW - polymer fluid
KW - singular point of solution
KW - stabilization of nonstationary flow
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85191193363&origin=inward&txGid=1062e1fcc4cf34360fed58e6f4014381
UR - https://www.mendeley.com/catalogue/38d47ae9-a10c-3480-b07a-2847179e0fba/
U2 - 10.1134/S2070048224020145
DO - 10.1134/S2070048224020145
M3 - Article
VL - 16
SP - 197
EP - 207
JO - Mathematical Models and Computer Simulations
JF - Mathematical Models and Computer Simulations
SN - 2070-0482
IS - 2
ER -
ID: 61071868