Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity
Bearing in mind recent experimental and theoretical results showing that viscous damping can qualitatively affect resonant sloshing in clean tanks, the Narimanov-Moiseev multimodal sloshing theory for an upright circular container is revised to analytically analyze steady-state surface waves when th...
Published in: | Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics |
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Online Access: | http://hdl.handle.net/11250/2593390 https://doi.org/10.1115/OMAE2018-77534 |
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ftntnutrondheimi:oai:ntnuopen.ntnu.no:11250/2593390 2023-05-15T14:25:22+02:00 Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity Timokha, Alexander Raynovskyy, IA 2018 http://hdl.handle.net/11250/2593390 https://doi.org/10.1115/OMAE2018-77534 eng eng ASME ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering - Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics Norges forskningsråd: 223254 urn:isbn:978-0-7918-5130-2 http://hdl.handle.net/11250/2593390 https://doi.org/10.1115/OMAE2018-77534 cristin:1655687 Chapter 2018 ftntnutrondheimi https://doi.org/10.1115/OMAE2018-77534 2019-09-17T06:54:44Z Bearing in mind recent experimental and theoretical results showing that viscous damping can qualitatively affect resonant sloshing in clean tanks, the Narimanov-Moiseev multimodal sloshing theory for an upright circular container is revised to analytically analyze steady-state surface waves when the container performs a small-amplitude sway/roll/pitch/surge prescribed periodic motion with the forcing frequency close to the lowest natural sloshing frequency. The revised theory is applicable for the radius-scaled mean liquid depths h > 1 providing the secondary resonance phenomenon does not occur at the primary resonance zone. A focus is on how the damping influences the phase lag as well as on the amplitude response curves versus the forcing type, which can in the lowest-order approximation be treated as if the container translatory moves along an elliptic orbit in the horizontal plane. The analytical results are compared with existing experiments for longitudinal and circular orbital tank excitations. Whereas a good agreement is found for longitudinal excitations, a discrepancy is detected for the circular orbital forcing. The discrepancy may, most probably, be explained by the wave breaking and mean angular mass-transport (Ludwig Prandtl, 1949) phenomena. Occurrence of the Prandtl phenomenon makes inapplicable the existing analytical inviscid sloshing theories, even if they are modified to account for damping. publishedVersion Copyright © 2018 by ASME Book Part Arctic NTNU Open Archive (Norwegian University of Science and Technology) Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics |
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Open Polar |
collection |
NTNU Open Archive (Norwegian University of Science and Technology) |
op_collection_id |
ftntnutrondheimi |
language |
English |
description |
Bearing in mind recent experimental and theoretical results showing that viscous damping can qualitatively affect resonant sloshing in clean tanks, the Narimanov-Moiseev multimodal sloshing theory for an upright circular container is revised to analytically analyze steady-state surface waves when the container performs a small-amplitude sway/roll/pitch/surge prescribed periodic motion with the forcing frequency close to the lowest natural sloshing frequency. The revised theory is applicable for the radius-scaled mean liquid depths h > 1 providing the secondary resonance phenomenon does not occur at the primary resonance zone. A focus is on how the damping influences the phase lag as well as on the amplitude response curves versus the forcing type, which can in the lowest-order approximation be treated as if the container translatory moves along an elliptic orbit in the horizontal plane. The analytical results are compared with existing experiments for longitudinal and circular orbital tank excitations. Whereas a good agreement is found for longitudinal excitations, a discrepancy is detected for the circular orbital forcing. The discrepancy may, most probably, be explained by the wave breaking and mean angular mass-transport (Ludwig Prandtl, 1949) phenomena. Occurrence of the Prandtl phenomenon makes inapplicable the existing analytical inviscid sloshing theories, even if they are modified to account for damping. publishedVersion Copyright © 2018 by ASME |
format |
Book Part |
author |
Timokha, Alexander Raynovskyy, IA |
spellingShingle |
Timokha, Alexander Raynovskyy, IA Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity |
author_facet |
Timokha, Alexander Raynovskyy, IA |
author_sort |
Timokha, Alexander |
title |
Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity |
title_short |
Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity |
title_full |
Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity |
title_fullStr |
Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity |
title_full_unstemmed |
Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity |
title_sort |
resonant steady-state sloshing in upright tanks: effect of three-dimensional excitations and viscosity |
publisher |
ASME |
publishDate |
2018 |
url |
http://hdl.handle.net/11250/2593390 https://doi.org/10.1115/OMAE2018-77534 |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering - Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics Norges forskningsråd: 223254 urn:isbn:978-0-7918-5130-2 http://hdl.handle.net/11250/2593390 https://doi.org/10.1115/OMAE2018-77534 cristin:1655687 |
op_doi |
https://doi.org/10.1115/OMAE2018-77534 |
container_title |
Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics |
_version_ |
1766297776756359168 |