TY - JOUR

T1 - Couette Flow of a Viscoelastic Maxwell-Type Medium with Two Relaxation Times

AU - Liapidevskii, V. Yu

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - A Couette flow of a viscoelastic medium is considered that is described by the Johnson–Segalman–Oldroyd model with two relaxation times. The development of singularities related to the appearance of internal discontinuities is studied both analytically and numerically within one-dimensional nonstationary hyperbolic models of viscoelastic Maxwell-type media. A numerical model for calculating nonstationary one-dimensional discontinuous solutions is constructed, discontinuous solutions are studied, and the hysteresis phenomenon, i.e., the dependence of the structure of a steady Couette flow on the prehistory of its formation, is analyzed.

AB - A Couette flow of a viscoelastic medium is considered that is described by the Johnson–Segalman–Oldroyd model with two relaxation times. The development of singularities related to the appearance of internal discontinuities is studied both analytically and numerically within one-dimensional nonstationary hyperbolic models of viscoelastic Maxwell-type media. A numerical model for calculating nonstationary one-dimensional discontinuous solutions is constructed, discontinuous solutions are studied, and the hysteresis phenomenon, i.e., the dependence of the structure of a steady Couette flow on the prehistory of its formation, is analyzed.

UR - http://www.scopus.com/inward/record.url?scp=85047568502&partnerID=8YFLogxK

U2 - 10.1134/S008154381801011X

DO - 10.1134/S008154381801011X

M3 - Article

AN - SCOPUS:85047568502

VL - 300

SP - 137

EP - 148

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -