Wave Patterns of Gravity–Capillary Waves from Moving Localized Sources

Gnevyshev, V. G.; Badulin, Sergei I.

doi:10.3390/fluids5040219

Cited by 17 publications

(4 citation statements)

References 20 publications

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“…For Re = 60,000, Fr = 1.72, the vortices are concentrated in the cavity, as the flow far downstream the cylinder and below the free surface is almost laminar. Consequently, the shape of the wake changes from the Kelvin wake to a narrower V-shaped free-surface pattern [26,52]. Figure 4c,d display experimental snapshots of the view from above the free surface at corresponding values of Re and Fr for comparison.…”

Section: Deformation Of the Free Surfacementioning

confidence: 99%

Experiments and Simulations of Free-Surface Flow behind a Finite Height Rigid Vertical Cylinder

Ageorges

Peixinho

Perret

et al. 2021

Fluids

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We present the results of a combined experimental and numerical study of the free-surface flow behind a finite height rigid vertical cylinder. The experiments measure the drag and the wake angle on cylinders of different diameters for a range of velocities corresponding to 30,000 <Re< 200,000 and 0.2<Fr<2 where the Reynolds and Froude numbers are based on the diameter. The three-dimensional large eddy simulations use a conservative level-set method for the air-water interface, thus predicting the pressure, the vorticity, the free-surface elevation and the onset of air entrainment. The deep flow looks like single phase turbulent flow past a cylinder, but close to the free-surface, the interaction between the wall, the free-surface and the flow is taking place, leading to a reduced cylinder drag and the appearance of V-shaped surface wave patterns. For large velocities, vortex shedding is suppressed in a layer region behind the cylinder below the free surface. The wave patterns mostly follow the capillary-gravity theory, which predicts the crest lines cusps. Interestingly, it also indicates the regions of strong elevation fluctuations and the location of air entrainment observed in the experiments. Overall, these new simulation results, drag, wake angle and onset of air entrainment, compare quantitatively with experiments.

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Section: Deformation Of the Free Surfacementioning

confidence: 99%

Experiments and Simulations of Free-Surface Flow behind a Finite Height Rigid Vertical Cylinder

Ageorges

Peixinho

Perret

et al. 2021

Fluids

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“…(2) The presence of a surfactant where an interplay between dilational and capillary waves takes place [21,23,47]. (3) The presence of elastic membrane at the surface of the ideal fluid [43,44].…”

Section: Numerical Results For Frequenciesmentioning

confidence: 99%

“…Although capillary gravity surface waves have been studied for a long time, they are still a fascinating and interesting subject [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The dispersion of linear and nonlinear waves, wave damping in deep water owing to viscosity, and weakly nonlinear waves in shallow water are classic problems that have long been studied [16].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis and Propagation Conditions of Free-Surface Waves in Incompressible Viscous Fluids of Finite Depth

Ghahraman

Bene

2023

Fluids

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Viscous linear surface waves are studied at arbitrary wavelength, layer thickness, viscosity, and surface tension. We find that in shallow enough fluids no surface waves can propagate. This layer thickness is determined for some fluids, water, glycerin, and mercury. Even in any thicker fluid layers, propagation of very short and very long waves is forbidden. When wave propagation is possible, only a single propagating mode exists for a given horizontal wave number. In contrast, there are two types of non-propagating modes. One kind of them exists at all wavelength and material parameters, and there are infinitely many such modes for a given wave number, distinguished by their decay rates. The other kind of non-propagating mode that is less attenuated may appear in zero, one, or two specimens. We notice the presence of two length scales as material parameters, one related to viscosity and the other to surface tension. We consider possible modes for a given material on the parameter plane layer thickness versus wave number and discuss bifurcations among different mode types. Motion of surface particles and time evolution of surface elevation is also studied at various parameters in glycerin, and a great variety of behaviour is found, including counterclockwise surface particle motion and negative group velocity in wave propagation.

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“…на таких расстояниях можно использовать понятие дальних волновых полей. Таким образом, исходя из результатов рассмотрения подобного класса задач и оценок пространственных масштабов возможного затухания волновых возмущений в природных условиях, представляется вполне обоснованным использования линейного приближения и метода стационарной фазы для расчета возмущений ледяного покрова и получения физически адекватных результатов [7,[24][25][26].…”

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Амплитудно-Фазовая Структура Волновых Возмущений На Границе Ледяного Покрова И Глубокой Жидкости От Локализованных Источников

Булатов,

Владимиров

2023

Вестник

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Плавающий ледяной покров определяет динамическое взаимодействие между океаном и атмосферой, влияет на динамику не только морской поверхности, но и подповерхностных вод, и в общем движении по вертикали участвует как ледяной покров, так и вся масса жидкости под ним. В работе исследована амплитудно-фазовая структура волновых полей, возникающих на границе раздела льда и бесконечно глубокой однородной жидкости при обтекании локализованного источника возмущений. Ледяной покров моделируется тонкой упругой пластиной, деформации которой малы, и пластина является физически линейной. Получено интегральное представление решения и с помощью метода стационарной фазы построено асимптотическое представление для малых возмущений ледяного покрова вдали от локализованного источника. Приведены результаты расчетов дисперсионных зависимостей для различных параметров волновой генерации. Показано, что основными параметрами, определяющими характеристики амплитудно-фазовых структуру волновых возмущений поверхности ледяного покрова, являются толщина льда и скорость потока. Численные расчеты демонстрируют, что при изменении изменение скоростей потока и толщины льда происходит заметная качественная перестройка фазовых картин возбуждаемых дальних волновых полей на границе раздела льда и жидкости.

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Wave Patterns of Gravity–Capillary Waves from Moving Localized Sources

Cited by 17 publications

References 20 publications

Experiments and Simulations of Free-Surface Flow behind a Finite Height Rigid Vertical Cylinder

Experiments and Simulations of Free-Surface Flow behind a Finite Height Rigid Vertical Cylinder

Bifurcation Analysis and Propagation Conditions of Free-Surface Waves in Incompressible Viscous Fluids of Finite Depth

Амплитудно-Фазовая Структура Волновых Возмущений На Границе Ледяного Покрова И Глубокой Жидкости От Локализованных Источников

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