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On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations. / Meleshko, S. V.; Moshkin, N. P.; Pukhnachev, V. V. et al.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 270, 01.08.2019, p. 1-7.

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

Harvard

Meleshko, SV, Moshkin, NP, Pukhnachev, VV & Samatova, V 2019, 'On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations', Journal of Non-Newtonian Fluid Mechanics, vol. 270, pp. 1-7. https://doi.org/10.1016/j.jnnfm.2019.06.010

APA

Meleshko, S. V., Moshkin, N. P., Pukhnachev, V. V., & Samatova, V. (2019). On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations. Journal of Non-Newtonian Fluid Mechanics, 270, 1-7. https://doi.org/10.1016/j.jnnfm.2019.06.010

Vancouver

Meleshko SV, Moshkin NP, Pukhnachev VV, Samatova V. On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations. Journal of Non-Newtonian Fluid Mechanics. 2019 Aug 1;270:1-7. doi: 10.1016/j.jnnfm.2019.06.010

Author

Meleshko, S. V. ; Moshkin, N. P. ; Pukhnachev, V. V. et al. / On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations. In: Journal of Non-Newtonian Fluid Mechanics. 2019 ; Vol. 270. pp. 1-7.

BibTeX

@article{b771aafc407d4099827842a4ce6574bc,
title = "On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations",
abstract = "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.",
keywords = "Jaumann derivative, Johnson–Segalman convected derivative, Lower convected, Upper convected, Viscoelastic fluid",
author = "Meleshko, {S. V.} and Moshkin, {N. P.} and Pukhnachev, {V. V.} and V. Samatova",
year = "2019",
month = aug,
day = "1",
doi = "10.1016/j.jnnfm.2019.06.010",
language = "English",
volume = "270",
pages = "1--7",
journal = "Journal of Non-Newtonian Fluid Mechanics",
issn = "0377-0257",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On steady two-dimensional analytical solutions of the viscoelastic Maxwell equations

AU - Meleshko, S. V.

AU - Moshkin, N. P.

AU - Pukhnachev, V. V.

AU - Samatova, V.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - 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.

AB - 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.

KW - Jaumann derivative

KW - Johnson–Segalman convected derivative

KW - Lower convected

KW - Upper convected

KW - Viscoelastic fluid

UR - http://www.scopus.com/inward/record.url?scp=85068241713&partnerID=8YFLogxK

U2 - 10.1016/j.jnnfm.2019.06.010

DO - 10.1016/j.jnnfm.2019.06.010

M3 - Article

AN - SCOPUS:85068241713

VL - 270

SP - 1

EP - 7

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

ER -

ID: 20710563