Abstract: The qualitative properties of solutions of a hereditary model of motion of aqueous solutions of polymers, its modification in the limiting case of short relaxation times, and a similar second grade fluid model are studied. Unsteady shear flows are considered. In the first case, their properties are similar to those of motion of a usual viscous fluid. Other models can include weak discontinuities, which are retained in the course of fluid motion. Exact solutions are found by using the group analysis of the examined systems of equations. These solutions describe the fluid motion in a gap between coaxial rotating cylinders, the stagnation point flow, and the motion in a half-space induced by plane rotation (analog of the Karman vortex). The problem of motion of an aqueous solution of a polymer in a cylindrical tube under the action of a streamwise pressure gradient is considered. In this case, a flow with straight-line trajectories is possible (analog of the Hagen-Poiseuille flow). In contrast to the latter, however, the pressure in the flow considered here depends on all three spatial variables.

Cite: Frolovskaya O.A. , Pukhnachev V.V.
Analysis of the Models of Motion of Aqueous Solutions of Polymers on the Basis of Their Exact Solutions
Polymers. 2018. V.10. N6. P.684. DOI: 10.3390/polym10060684 WOS Scopus РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:000436560200121
Scopus:	2-s2.0-85069825799
Elibrary:	37183329
OpenAlex:	W2809271527

Citing:

DB	Citing
Scopus	15
OpenAlex	17
Elibrary	20
Web of science	14

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