Unsteady three-dimensional sources in deep water with an elastic cover and their applications
Abstract The velocity potential is derived for a transient source of arbitrary strength undergoing arbitrary three-dimensional motion. The initially quiescent fluid of infinite depth is assumed to be inviscid, incompressible and homogeneous. The upper surface of the fluid is covered by a thin layer...
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Cambridge University Press (CUP)
2013
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Online Access: | http://dx.doi.org/10.1017/jfm.2013.303 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112013003030 |
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crcambridgeupr:10.1017/jfm.2013.303 2024-06-23T07:53:48+00:00 Unsteady three-dimensional sources in deep water with an elastic cover and their applications Sturova, Izolda V. 2013 http://dx.doi.org/10.1017/jfm.2013.303 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112013003030 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 730, page 392-418 ISSN 0022-1120 1469-7645 journal-article 2013 crcambridgeupr https://doi.org/10.1017/jfm.2013.303 2024-06-12T04:04:31Z Abstract The velocity potential is derived for a transient source of arbitrary strength undergoing arbitrary three-dimensional motion. The initially quiescent fluid of infinite depth is assumed to be inviscid, incompressible and homogeneous. The upper surface of the fluid is covered by a thin layer of elastic material of uniform density with lateral stress. The linearized initial boundary-value problem is formulated within the framework of the potential-flow theory, and the Laplace transform technique is employed to obtain the solution. The potential of a time-harmonic source with forward speed is obtained as a particular case. The far-field wave motion at long time is determined via the method of stationary phase. The problems of radiation (surge, sway and heave) of the flexural–gravity waves by a submerged sphere advancing at constant forward speed are investigated. The method of multipole expansions is used. Numerical results are obtained for the wave-making resistance and lift, added-mass and damping coefficients. The effects of an ice sheet and broken ice on the hydrodynamic loads are discussed in detail. Article in Journal/Newspaper Ice Sheet Cambridge University Press Laplace ENVELOPE(141.467,141.467,-66.782,-66.782) Journal of Fluid Mechanics 730 392 418 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
description |
Abstract The velocity potential is derived for a transient source of arbitrary strength undergoing arbitrary three-dimensional motion. The initially quiescent fluid of infinite depth is assumed to be inviscid, incompressible and homogeneous. The upper surface of the fluid is covered by a thin layer of elastic material of uniform density with lateral stress. The linearized initial boundary-value problem is formulated within the framework of the potential-flow theory, and the Laplace transform technique is employed to obtain the solution. The potential of a time-harmonic source with forward speed is obtained as a particular case. The far-field wave motion at long time is determined via the method of stationary phase. The problems of radiation (surge, sway and heave) of the flexural–gravity waves by a submerged sphere advancing at constant forward speed are investigated. The method of multipole expansions is used. Numerical results are obtained for the wave-making resistance and lift, added-mass and damping coefficients. The effects of an ice sheet and broken ice on the hydrodynamic loads are discussed in detail. |
format |
Article in Journal/Newspaper |
author |
Sturova, Izolda V. |
spellingShingle |
Sturova, Izolda V. Unsteady three-dimensional sources in deep water with an elastic cover and their applications |
author_facet |
Sturova, Izolda V. |
author_sort |
Sturova, Izolda V. |
title |
Unsteady three-dimensional sources in deep water with an elastic cover and their applications |
title_short |
Unsteady three-dimensional sources in deep water with an elastic cover and their applications |
title_full |
Unsteady three-dimensional sources in deep water with an elastic cover and their applications |
title_fullStr |
Unsteady three-dimensional sources in deep water with an elastic cover and their applications |
title_full_unstemmed |
Unsteady three-dimensional sources in deep water with an elastic cover and their applications |
title_sort |
unsteady three-dimensional sources in deep water with an elastic cover and their applications |
publisher |
Cambridge University Press (CUP) |
publishDate |
2013 |
url |
http://dx.doi.org/10.1017/jfm.2013.303 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112013003030 |
long_lat |
ENVELOPE(141.467,141.467,-66.782,-66.782) |
geographic |
Laplace |
geographic_facet |
Laplace |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics volume 730, page 392-418 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/jfm.2013.303 |
container_title |
Journal of Fluid Mechanics |
container_volume |
730 |
container_start_page |
392 |
op_container_end_page |
418 |
_version_ |
1802645631478530048 |