Stokes flows in 3D containers

Малюга, В. С.; Духновський, В. Ю.; Жук, Я. О.

doi:10.17721/1812-5409.2021/3.12

Stokes flows in 3D containers

Тип публікації :

Стаття

Дата випуску :

2021

Автор(и) :

Малюга, В. С.

Духновський, В. Ю.

Жук, Я. О.

Мова основного тексту :

Англійська

eKNUTSHIR URL :

https://ir.library.knu.ua/handle/15071834/26105

DOI :

10.17721/1812-5409.2021/3.12

Журнал :

Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics

Випуск :

3

ISSN :

1812-5409

Початкова сторінка :

71

Кінцева сторінка :

76

Цитування :

[APA 7] Малюга, В. С., Духновський, В. Ю., & Жук, Я. О. (2021). Stokes flows in 3D containers. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (3), 71–76. https://doi.org/10.17721/1812-5409.2021/3.12

[ДСТУ] Малюга В. С., Духновський В. Ю., Жук Я. О. Stokes flows in 3D containers. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2021. no. 3. P. 71—76. DOI: 10.17721/1812-5409.2021/3.12 (date of access: 18.07.2026).

This study consists of two parts. First we consider an analytical approach for solving the problem of steady Stokes flow in some 3D containers with arbitrary velocities prescribed over the surfaces. The approach is based on the superposition method. First we discuss the Stokes problem solution in a finite cylinder. This is the simplest problem because the flow domain is restricted with only two families of coordinate surfaces and the edge (rim) is a smooth line. Then we discuss the analytical solution of the Stokes problem in more complicated domains, such as a circular cone, a rectangular trihedral corner and a 3D rectangular cavity. The Moffatt eddies in such domains are described. In the second part of the study we consider the laminar mixing process in the Stokes flow in a 3D container. We show that in 3D flows a much richer variety of mixing regimes is observed than in 2D flow configurations. The mixing processes in a 3D flow, containing periodic lines, possess essentially two-dimensional characteristics. In the flows, where only isolated periodic points exist, the liquid elements stretch or compress in all three directions.
Pages of the article in the issue: 71 - 76
Language of the article: English

Ключові слова :

Stokes flow Moffatt eddies mixing periodic lines течія Стокса вихори Моффата перемішування періодичні лінії

Файл(и) :

Формат :

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Розмір :

807.18 KB

Контрольна сума :

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