Nonlinear boundary-layer problems and laminar vortical stream generated by resonant sloshing in a circular-base tank
For a viscous incompressible liquid with laminar flows, nonlinear boundary-layer problems on the wetted tank surface (wall and bottom) of a rigid circular-base tank partly filled with a finite depth are derived assuming known the resonant steady-state inviscid liquid sloshing due to a horizontal tr...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177184 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Nonlinear boundary-layer problems and laminar vortical stream generated by resonant sloshing in a circular-base tank / A.N. Timokha // Нелінійні коливання. — 2018. — Т. 21, № 1. — С. 131-144. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | For a viscous incompressible liquid with laminar flows, nonlinear boundary-layer problems on the wetted
tank surface (wall and bottom) of a rigid circular-base tank partly filled with a finite depth are derived assuming known the resonant steady-state inviscid liquid sloshing due to a horizontal translatory
orbital tank motion with the forcing frequency close to the lowest natural sloshing frequency. By adopting a Narimanov – Moiseev-type approximation of the above-mentioned inviscid sloshing, an analytical
asymptotic solution of the derived boundary-layer problems is constructed to prove that the inviscid flows
must contain a global stationary vortex component. A new nonlinear boundary-value problem governing
this component is derived. |
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