On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium

S. V. Meleshko; N. P. Moshkin; V. V. Pukhnachev

doi:10.1016/j.ijnonlinmec.2018.06.002

On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium

S. V. Meleshko, N. P. Moshkin, V. V. Pukhnachev

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

5 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	152-157
Число страниц	6
Журнал	International Journal of Non-Linear Mechanics
Том	105
DOI	https://doi.org/10.1016/j.ijnonlinmec.2018.06.002
Состояние	Опубликовано - 1 окт. 2018

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10.1016/j.ijnonlinmec.2018.06.002

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abstract = "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.",

keywords = "Invariant solution, Johnson–Segalman convected derivative, Lagrangian coordinates, Lie group, Stagnation point flow, UCM, Viscoelastic fluid, Johnson-Segalman convected derivative, FLUID, MODEL, FLOW",

author = "Meleshko, {S. V.} and Moshkin, {N. P.} and Pukhnachev, {V. V.}",

year = "2018",

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On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium. / Meleshko, S. V.; Moshkin, N. P.; Pukhnachev, V. V.

В: International Journal of Non-Linear Mechanics, Том 105, 01.10.2018, стр. 152-157.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium

AU - Meleshko, S. V.

AU - Moshkin, N. P.

AU - Pukhnachev, V. V.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - 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.

AB - 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.

KW - Invariant solution

KW - Johnson–Segalman convected derivative

KW - Lagrangian coordinates

KW - Lie group

KW - Stagnation point flow

KW - UCM

KW - Viscoelastic fluid

KW - Johnson-Segalman convected derivative

KW - FLUID

KW - MODEL

KW - FLOW

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DO - 10.1016/j.ijnonlinmec.2018.06.002

M3 - Article

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VL - 105

SP - 152

EP - 157

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

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