On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium Full article
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International Journal of Non-Linear Mechanics
ISSN: 0020-7462 |
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| 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 | ||||||
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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.
Cite:
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
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
Identifiers:
| Web of science: | WOS:000445718100014 |
| Scopus: | 2-s2.0-85049022317 |
| Elibrary: | 35756182 |
| OpenAlex: | W2807387578 |