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

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)137-148
Число страниц12
ЖурналProceedings of the Steklov Institute of Mathematics
Том300
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2018

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