TY - JOUR

T1 - Strip deformation problem in three models of hydrodynamics

AU - Pukhnachev, V. V.

N1 - Funding Information: This study was supported by the Russian Foundation for Basic Research (grant No. 19-01-00096). Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/5

Y1 - 2022/5

N2 - We study the problem of a deformation of a straight strip bounded by an impermeable solid wall and a parallel free boundary. Three models of an incompressible fluid are considered: ideal fluid, classical viscous fluid, and dilute solution of a polymer. The influence of the viscous and relaxation factors on the qualitative pattern of fluid motion is revealed.

AB - We study the problem of a deformation of a straight strip bounded by an impermeable solid wall and a parallel free boundary. Three models of an incompressible fluid are considered: ideal fluid, classical viscous fluid, and dilute solution of a polymer. The influence of the viscous and relaxation factors on the qualitative pattern of fluid motion is revealed.

KW - aqueous solution of a polymer

KW - incompressible fluid

KW - problem with a free boundary

KW - solution breakdown

UR - http://www.scopus.com/inward/record.url?scp=85130686529&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7ae384c2-4634-36ac-9628-1d9a36e058ca/

U2 - 10.1134/S0040577922050105

DO - 10.1134/S0040577922050105

M3 - Article

AN - SCOPUS:85130686529

VL - 211

SP - 701

EP - 711

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 2

ER -