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

ON STEADY TWO-DIMENSIONAL ANALYTICAL SOLUTIONS OF THE VISCOELASTIC MAXWELL EQUATIONS Full article

Journal

Journal of Non-Newtonian Fluid Mechanics
ISSN: 0377-0257

Output data

Year: 2019, Volume: 270, Pages: 1-7 Pages count : 7 DOI: 10.1016/j.jnnfm.2019.06.010

Tags

Jaumann derivative; Johnson–Segalman convected derivative; Lower convected; Upper convected; Viscoelastic fluid

Authors

MELESHKO S.V. ¹ , MOSHKIN N.P. ^2,3 , PUKHNACHEV V.V. ^2,3 , SAMATOVA V. ⁴

Affiliations

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

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.

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

Web of science:	WOS:000484874500001
Scopus:	2-s2.0-85068241713
Elibrary:	41664185
OpenAlex:	W2955678335

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