On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium

被引：7

作者：

Meleshko, S. V. ^{[1
]}

Moshkin, N. P. ^{[2
,3
]}

Pukhnachev, V. V. ^{[2
,3
]}

机构：

[1] Suranaree Univ Technol, Inst Sci, Sch Math, Nakhon Ratchasima 30000, Thailand

[2] RAS, Siberian Branch, Lavrentyev Inst Hydrodynam, 15 Ac Lavrentieva Ave, Novosibirsk 630090, Russia

[3] Novosibirsk State Univ, 2 Pirogova Str, Novosibirsk 630090 90, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2018年 / 105卷

关键词：

Viscoelastic fluid; Johnson-Segalman convected derivative; UCM; Lie group; Invariant solution; Lagrangian coordinates; Stagnation point flow; FLUID; MODEL; FLOW;

D O I：

10.1016/j.ijnonlinmec.2018.06.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：152 / 157

页数：6

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