TY - GEN

T1 - Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid

AU - Yegitov, Aleksey

N1 - Publisher Copyright: © 2018 Author(s).

PY - 2018/11/2

Y1 - 2018/11/2

N2 - We study a new rheological model (a modification of a known Pokrovski - Vinogradov model). As was shown by numerical simulations, it takes into account nonlinear effects arising in flows of melts and solutions of polymers in domains with a complex boundary geometry. In the case when the main solution is a Poiseuille-type flow in an infinite plane channel (one considers a viscoelastic polymeric fluid) we obtain an asymptotic formula for the distribution of spectrum points of the linear problem. Small perturbations have such the additional property that they are periodic with respect to the variable going along the side of the channel.

AB - We study a new rheological model (a modification of a known Pokrovski - Vinogradov model). As was shown by numerical simulations, it takes into account nonlinear effects arising in flows of melts and solutions of polymers in domains with a complex boundary geometry. In the case when the main solution is a Poiseuille-type flow in an infinite plane channel (one considers a viscoelastic polymeric fluid) we obtain an asymptotic formula for the distribution of spectrum points of the linear problem. Small perturbations have such the additional property that they are periodic with respect to the variable going along the side of the channel.

UR - http://www.scopus.com/inward/record.url?scp=85056355241&partnerID=8YFLogxK

U2 - 10.1063/1.5065277

DO - 10.1063/1.5065277

M3 - Conference contribution

AN - SCOPUS:85056355241

VL - 2027

T3 - AIP Conference Proceedings

BT - 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018

A2 - Fomin, null

PB - American Institute of Physics Inc.

T2 - 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018

Y2 - 13 August 2018 through 19 August 2018

ER -