Abstract: We study the mathematical properties of the model of motion of aqueous polymer solutions (Voitkunskii, Amfilokhiev, Pavlovskii, 1970) and its modifications in the limiting case of small relaxation times (Pavlovskii, 1971). In both cases, we examine plane unsteady laminar flows. In the first case, the properties of the flows are similar to those of the flow of an ordinary viscous fluid. In the second case, there may exist weak discontinuities that are preserved during the motion. We also address the steady flow problem for a dilute aqueous polymer solution moving in a cylindrical tube under a longitudinal pressure gradient. In this case, a flow with rectilinear trajectories (an analog of the classical Poiseuille flow) is possible. However, in contrast to the latter, the pressure in this flow depends on all three spatial variables.

Cite: PUKHNACHEV V.V. , FROLOVSKAYA O.A.
ON THE VOITKUNSKII AMFILOKHIEV PAVLOVSKII MODEL OF MOTION OF AQUEOUS POLYMER SOLUTIONS
Proceedings of the Steklov Institute of Mathematics. 2018. V.300. N1. P.176–189. DOI: 10.1134/S0081543818010145 WOS Scopus РИНЦ OpenAlex

Original: Пухначев В.В. , Фроловская О.А.
О модели Войткунского–Амфилохиева–Павловского движения водных растворов полимеров
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМЕНИ В.А. СТЕКЛОВА. 2018. Т.300. №01. С.176-189. DOI: 10.1134/S0371968518010144 РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:000433127500014
Scopus:	2-s2.0-85047566757
Elibrary:	35496092
OpenAlex:	W2803921031

Citing:

DB	Citing
Scopus	7
OpenAlex	7
Elibrary	6
Web of science	8

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