Coupling of a swirl-type resonant sloshing and a mean rotational flow
Referring to experimental results by Prandtl (1949) and Hutton (1964) as well as more recent model tests by Royon-Lebeaud, Hopfinger & Cartellier (2007) and Reclari (2013), a Moiseev-type asymptotic almost periodic (steady-state) solution of a resonant sloshing problem is derived to show...
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| Date: | 2017 |
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| Keywords: | keywords |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/344 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | Referring to experimental results by Prandtl (1949) and Hutton (1964) as well as more recent model tests by Royon-Lebeaud, Hopfinger & Cartellier (2007) and Reclari (2013), a Moiseev-type asymptotic almost periodic (steady-state) solution of a resonant sloshing problem is derived to show that a time-averaged rotational liquid flow, if occurs, becomes nonlinearly coupled with the dominant swirl-type wave component. The coupling appears as a necessary solvability condition and consists of nonlinear (differential) equations with respect to four amplitude parameters of the two lowest natural sloshing modes and the time-averaged velocity field, which is governed by a partial differential equation of the first order. Finding its unique solution requires to know the (Stokes) steady-streaming. |
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