TY - JOUR

T1 - The Problem of Filling a Spherical Cavity in an Aqueous Solution of Polymers

AU - Frolovskaya, Oxana A.

AU - Pukhnachev, Vladislav V.

N1 - Publisher Copyright: © 2022 by the authors.

PY - 2022/10

Y1 - 2022/10

N2 - The problem of filling a spherical cavity in a liquid has attracted the attention of many authors. The study of bubble behavior in liquid allows to estimate the consequences of cavitation processes, which can lead to the intensive destruction of the material surface. Regarding this connection, it becomes necessary to study the influence of impurities, including polymeric additives on the strengthening or suppression of cavitation. In this paper, this problem is considered in three models of a relaxing fluid. It is shown that for all models, the cavity filling time is finite if the surface tension is not equal to zero. This result was previously established for the cases of ideal and viscous fluids. However, the relaxation factor can significantly change the flow pattern by slowing down the filling process and lowering the level of energy accumulation during the bubble collapse.

AB - The problem of filling a spherical cavity in a liquid has attracted the attention of many authors. The study of bubble behavior in liquid allows to estimate the consequences of cavitation processes, which can lead to the intensive destruction of the material surface. Regarding this connection, it becomes necessary to study the influence of impurities, including polymeric additives on the strengthening or suppression of cavitation. In this paper, this problem is considered in three models of a relaxing fluid. It is shown that for all models, the cavity filling time is finite if the surface tension is not equal to zero. This result was previously established for the cases of ideal and viscous fluids. However, the relaxation factor can significantly change the flow pattern by slowing down the filling process and lowering the level of energy accumulation during the bubble collapse.

KW - bubble cavity

KW - dilute polymer solution

KW - relaxation viscosity

KW - second-grade fluid

UR - http://www.scopus.com/inward/record.url?scp=85140710648&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c9c52fe9-13c1-30a1-a789-dfbede858ff8/

U2 - 10.3390/polym14204259

DO - 10.3390/polym14204259

M3 - Article

C2 - 36297837

AN - SCOPUS:85140710648

VL - 14

JO - Polymers

JF - Polymers

SN - 2073-4360

IS - 20

M1 - 4259

ER -