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We provide empirical evidence that within the inertial sub layer of adiabatic turbulent flows over smooth walls, the skewness of the vertical velocity component $Sk_w$ displays universal behaviour, being constant and constrained within the…

Two-dimensional free-surface potential flows of an ideal fluid over a strongly inhomogeneous bottom are investigated with the help of conformal mappings. Weakly-nonlinear and exact nonlinear equations of motion are derived by the…

Fluid Dynamics · Physics 2016-09-08 V. P. Ruban

Cross-flow, or vertical-axis, turbines are a promising technology for capturing kinetic energy in wind or flowing water and their inherently unsteady fluid mechanics present unique opportunities for control optimization of individual rotors…

Fluid Dynamics · Physics 2022-02-09 Benjamin Strom , Brian Polagye , Steven L. Brunton

Using weak wave turbulence theory analysis, we distinguish three main regimes for 2D stratified fluids in the dimensionless parameter space defined by the Froude number and the Reynolds number: discrete wave turbulence, weak wave…

Fluid Dynamics · Physics 2026-03-30 Vincent Labarre , Michal Shavit

The equations for waves on the surface of an irrotational incompressible fluid are derived in the coordinates of the velocity potential/stream function. The low frequency shallow water approximation for these waves is derived for a varying…

General Relativity and Quantum Cosmology · Physics 2015-06-05 W. G. Unruh

Two-dimensional potential flows of an ideal fluid with a free surface are considered in situations when shape of the bottom depends on time due to external reasons. Exact nonlinear equations describing surface waves in terms of the so…

Fluid Dynamics · Physics 2009-11-10 V. P. Ruban

Numerical simulations of fully nonlinear equations of motion for long-crested waves at deep water demonstrate that in elongate wave groups the formation of extreme waves occurs most intensively if in an initial state the wave fronts are…

Fluid Dynamics · Physics 2011-10-11 V. P. Ruban

The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom…

Fluid Dynamics · Physics 2019-02-19 Alan C. Compelli , Rossen I. Ivanov , Calin I. Martin , Michail D. Todorov

We investigate the dynamics and energy production capability of a flexible piezoelectric plate submerged close to the free surface and exposed to incident head gravity waves and current. A theoretical model is derived in which the flag and…

Fluid Dynamics · Physics 2023-07-12 Kourosh Shoele

The Miles theory of wave amplification by wind is extended to the case of finite depth h and a shear flow with (constant) vorticity {\Omega}. Vorticity is characterised through the non-dimensional parameter {\nu} = {\Omega} U_1 /g, where g…

Atmospheric and Oceanic Physics · Physics 2021-03-01 Norbert Kern , Christophe Chaubet , Roberto Kraenkel , Miguel Manna

We investigate the influence of side-wall wetting on the linear stability of falling liquid films confined in the spanwise direction. A biglobal stability framework is developed, capturing inertia, viscosity, gravity, capillarity, and…

Fluid Dynamics · Physics 2026-05-19 Hammam Mohamed , Jörn Sesterhenn

Diving induces large pressures during water entry, accompanied by the creation of cavity and water splash ejected from the free water surface. To minimize impact forces, divers streamline their shape at impact. Here, we investigate the…

Fluid Dynamics · Physics 2017-08-10 Lionel Vincent , Tingben Xiao , Daniel Yohann , Sunghwan Jung , Eva Kanso

This is the second paper in a series of papers analyzing angled crested type water waves with surface tension. We consider the 2D capillary gravity water wave equation and assume that the fluid is inviscid, incompressible, irrotational and…

Analysis of PDEs · Mathematics 2020-12-25 Siddhant Agrawal

We present a simple analytical model and an exact numerical study which explain the role of roughness on different length scales for the fluid contact angle on rough solid surfaces. We show that there is no simple relation between the…

Soft Condensed Matter · Physics 2015-10-28 Francesco Bottiglione , Giuseppe Carbone , Bo N. J. Persson

Particles suspended in turbulent flows are affected by the turbulence and at the same time act back on the flow. The resulting coupling can give rise to rich variability in their dynamics. Here we report experimental results from an…

Fluid Dynamics · Physics 2015-10-28 Varghese Mathai , Vivek N. Prakash , Jon Brons , Chao Sun , Detlef Lohse

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Analysis of PDEs · Mathematics 2020-12-01 Nikolay Kuznetsov

The surface gravity wave evolution, imitating tsunamis triggered by the ocean floor's arbitrary temporal motion over a generic seafloor topography, is investigated using the linearised water wave theory of a compressible ocean. The…

Fluid Dynamics · Physics 2025-09-30 Ravindra Pethiyagoda , Santu Das , Michael H. Meylan

We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times the Earth gravity.…

Inspired by the huge droplets attached on cypress tree leaf tips after rain, we find that a bent fibre can hold significantly more water in the corner than a horizontally placed fibre (typically up to three times or more). The maximum…

Fluid Dynamics · Physics 2017-12-27 Zhao Pan , Floriane Weyer , Williams G. Pitt , Nicolas Vandewalle , Tadd T. Truscott

Flapping-based propulsive systems rely on fluid-structure interactions to produce thrust. At intermediate and high Reynolds numbers, vortex formation and organization in the wake of such systems are crucial for the generation of a…

Fluid Dynamics · Physics 2026-01-26 Christophe Brouzet , Christophe Raufaste , Médéric Argentina
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