Standard

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

In: International Journal of Non-Linear Mechanics, Vol. 105, 01.10.2018, p. 152-157.

Research output: Contribution to journal › Article › peer-review

Harvard

Meleshko, SV, Moshkin, NP & Pukhnachev, VV 2018, 'On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium', International Journal of Non-Linear Mechanics, vol. 105, pp. 152-157. https://doi.org/10.1016/j.ijnonlinmec.2018.06.002

APA

Meleshko, S. V., Moshkin, N. P., & Pukhnachev, V. V. (2018). On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium. International Journal of Non-Linear Mechanics, 105, 152-157. https://doi.org/10.1016/j.ijnonlinmec.2018.06.002

Vancouver

Meleshko SV, Moshkin NP, Pukhnachev VV. On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium. International Journal of Non-Linear Mechanics. 2018 Oct 1;105:152-157. doi: 10.1016/j.ijnonlinmec.2018.06.002

Author

Meleshko, S. V. ; Moshkin, N. P. ; Pukhnachev, V. V. / On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium. In: International Journal of Non-Linear Mechanics. 2018 ; Vol. 105. pp. 152-157.

BibTeX

@article{d0830238b91943df8c51cb9b78ad43c5,
title = "On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium",
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",
month = oct,
day = "1",
doi = "10.1016/j.ijnonlinmec.2018.06.002",
language = "English",
volume = "105",
pages = "152--157",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier Ltd",

}

RIS

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

UR - http://www.scopus.com/inward/record.url?scp=85049022317&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2018.06.002

DO - 10.1016/j.ijnonlinmec.2018.06.002

M3 - Article

AN - SCOPUS:85049022317

VL - 105

SP - 152

EP - 157

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

ID: 14191366