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Exact solutions of non-linear differential-difference equations of a viscous fluid with finite relaxation timeстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 12 февраля 2020 г.
- Авторы: Polyanin Andrei D., Zhurov Alexei I.
- Журнал: International Journal of Non-Linear Mechanics
- Том: 57
- Год издания: 2013
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 116
- Последняя страница: 122
- DOI: 10.1016/j.ijnonlinmec.2013.06.013
- Аннотация: We have found a number exact of solutions to non-linear differential-difference equations of a viscous incompressible fluid with finite relaxation time. The results are used to solve a few hydrodynamic problems; in particular, we describe a one-dimensional flow arising from longitudinal periodic oscillations of a rigid plane and a two-dimensional periodic flow with pressure gradient near a fixed porous plate. We discuss issues of hydrodynamic instability of solutions as well as ways to enhance differential-difference fluid and related heat and diffusion models. The modified relaxation fluid model presented may theoretically explain one of the causes of the onset of turbulence. We also give a few exact solutions to the Racke–Saal non-linear hyperbolic fluid equations.
- Добавил в систему: Полянин Андрей Дмитриевич