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ON STEADY TWO-DIMENSIONAL ANALYTICAL SOLUTIONS OF THE VISCOELASTIC MAXWELL EQUATIONS Научная публикация

Журнал Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257
Вых. Данные Год: 2019, Том: 270, Страницы: 1-7 Страниц : 7 DOI: 10.1016/j.jnnfm.2019.06.010
Ключевые слова Jaumann derivative; Johnson–Segalman convected derivative; Lower convected; Upper convected; Viscoelastic fluid
Авторы MELESHKO S.V. 1 , MOSHKIN N.P. 2,3 , PUKHNACHEV V.V. 2,3 , SAMATOVA V. 4
Организации
1 School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima
2 Lavrent’ev Institute of Hydrodynamics of the Siberian Branch of the RAS,
3 Novosibirsk State University, Novosibirsk-90, 1, Pirogova Str.
4 Department of Computer Science, North Carolina State University

Реферат: Stationary two-dimensional flow near a free critical point of an incompressible viscoelastic Maxwell medium with upper, lower, and corotational convective derivatives in the rheological constitutive law is considered. Analysis of the analytical unstationary solution found earlier (S. V. Meleshko, N. P. Moshkin, and V. V. Pukhnachev, On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium. Int. J. Non-Lin. Mech., 105:152–157, 2018) provides a new class of stationary solutions. The solutions found comprise both already known as well as substantially new solutions. Nonsingular solutions of the stress tensor at the critical point and bounded at infinity are constructed. Exact analytical formulae for the stress tensor with the Weissenberg number Wi=1/2 are obtained.
Библиографическая ссылка: MELESHKO S.V. , MOSHKIN N.P. , PUKHNACHEV V.V. , SAMATOVA V.
ON STEADY TWO-DIMENSIONAL ANALYTICAL SOLUTIONS OF THE VISCOELASTIC MAXWELL EQUATIONS
Journal of Non-Newtonian Fluid Mechanics. 2019. V.270. P.1-7. DOI: 10.1016/j.jnnfm.2019.06.010 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
Web of science: WOS:000484874500001
Scopus: 2-s2.0-85068241713
РИНЦ: 41664185
OpenAlex: W2955678335
Цитирование в БД:
БД Цитирований
Scopus 5
OpenAlex 5
Web of science 4
Альметрики: