On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium

On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium Full article

Journal

International Journal of Non-Linear Mechanics
ISSN: 0020-7462

Output data

Year: 2018, Volume: 105, Pages: 152–157 Pages count : 6 DOI: 10.1016/j.ijnonlinmec.2018.06.002

Tags

Invariant solution; Johnson–Segalman convected derivative; Lagrangian coordinates; Lie group; Stagnation point flow; UCM; Viscoelastic fluid

Authors

S.V. Meleshko S.V. ¹ , N.P. Moshkin N.P. ^2,3 , V.V. Pukhnachev V.V. ^2,3

Affiliations

1	Suranaree University of Technology, Nakhon Ratchasima, Thailand
2	Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS
3	Novosibirsk State University

Unsteady two-dimensional flows of incompressible viscoelastic Maxwell medium with upper, low and corotational convective derivatives in the rheological constitutive law are considered. A class of partially invariant solutions is analyzed. Using transition to Lagrangian coordinates, an exact solution of the problem of unsteady flow near free-stagnation point was constructed. For the model with Johnson–Segalman convected derivative and special linear dependence of the vertical component of velocity, the general solutions were derived.

S.V. Meleshko S.V. , N.P. Moshkin N.P. , V.V. Pukhnachev V.V.
On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium
International Journal of Non-Linear Mechanics. 2018. V.105. P.152–157. DOI: 10.1016/j.ijnonlinmec.2018.06.002 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000445718100014
Scopus:	2-s2.0-85049022317
Elibrary:	35756182
OpenAlex:	W2807387578

DB	Citing
Scopus	6
OpenAlex	8
Web of science	5