Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion

Timokha, O. M.; Tkachenko, E. M.

doi:10.17721/1812-5409.2019/1.50

Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion

Тип публікації :

Стаття

Дата випуску :

2019

Автор(и) :

Timokha, O. M.

Tkachenko, E. M.

Мова основного тексту :

Англійська

eKNUTSHIR URL :

https://ir.library.knu.ua/handle/15071834/26252

DOI :

10.17721/1812-5409.2019/1.50

Журнал :

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

Випуск :

1

ISSN :

1812-5409

Початкова сторінка :

214

Кінцева сторінка :

217

Цитування :

[APA 7] Timokha, O. M., & Tkachenko, E. M. (2019). Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 214–217. https://doi.org/10.17721/1812-5409.2019/1.50

[ДСТУ] Timokha O. M., Tkachenko E. M. Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2019. no. 1. P. 214—217. DOI: 10.17721/1812-5409.2019/1.50 (date of access: 25.07.2026).

Analytical approaches to hydrostatic capillary (meniscus) problem in infinite horizontal channel and axisymmetric container are developed. For these geometric cases, finding the capillary menisci reduces to freeboundary problems for special systems of ordinary differential equations. Their solutions describe capillary curves, which appear as intersections of the capillary menisci and (depending on the container type) either crosssection or meridional plane. Further studies on capillary waves require to know analytical approximations of these capillary curves in the Cn, n ? 3 metrics. An objective may consists of constructing analytical approximate solutions of the corresponding systems of ordinary differential equations. The present paper focuses on limits of applicability of the Taylorpolynomial and Pad´e approximations, which were proposed for this class of capillary problems in 1984 by Barnyak&Timokha.Key words: sloshing, damping, steady-state waves.Pages of the article in the issue: 214-217Language of the article: English

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1.09 MB

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