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We introduce a novel technique for grabbing water with a flexible solid. This new passive pipetting mechanism was inspired by floating flowers and relies purely on the coupling of the elasticity of thin plates and the hydrodynamic forces at…

Soft Condensed Matter · Physics 2012-07-17 P. M. Reis , J. Hure , S. Jung , J. W. M. Bush , C. Clanet

We study the horizontal dispersion of passive tracer particles on the free surface of gravity waves in deep water. For random linear waves with the JONSWAP spectrum, the Lagrangian particle trajectories are computed using an exact nonlinear…

Fluid Dynamics · Physics 2019-02-12 Mohammad Farazmand , Themistoklis Sapsis

The upper few meters of the ocean play a key role in air-sea exchanges of momentum and energy. Two important properties of this layer are the vertical shear of current velocity and the surface velocity. Vertical shear reflects momentum…

Atmospheric and Oceanic Physics · Physics 2026-05-29 G. Hasson , S. Støle-Hentschel , T. Vrećica , V. Shrira , Y. Toledo

In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been conducted on Stokes drift in water wave flows, its counterpart…

Fluid Dynamics · Physics 2025-07-18 Luiz P. Palacio , Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

This article is concerned with the problem of determining an unknown source of non-potential, external time-dependent perturbations of an incompressible fluid from large-scale observations on the flow field. A relaxation-based approach is…

Analysis of PDEs · Mathematics 2024-02-26 Vincent R. Martinez

We perform an experimental and theoretical study of the wave pattern generated by the leg strokes of water striders during a propulsion cycle. Using the synthetic Schlieren method, we are able to measure the dynamic response of the free…

Starting with the pioneering computations of Stokes in 1847, the search of traveling waves in fluid mechanics has always been a fundamental topic, since they can be seen as building blocks to determine the long time dynamics (which is a…

Analysis of PDEs · Mathematics 2025-09-15 Roberto Feola , Riccardo Montalto , Shulamit Terracina

Nanowire fluidic tweezers have been developed to gently and accurately capture, manipulate and deliver micro objects. The mechanism behind the capture and release process has not yet been well explained. Utilizing the method of regularized…

Fluid Dynamics · Physics 2018-03-23 Longhua Zhao , Li Zhang , Yang Ding

In marine plankton, many swimming species can perceive their environment with flow sensors. Can they use this flow information to travel faster in turbulence? To address this question, we consider plankters swimming at constant speed, whose…

Fluid Dynamics · Physics 2022-08-12 Rémi Monthiller , Aurore Loisy , Mimi A. R. Koehl , Benjamin Favier , Christophe Eloy

Arctic icebergs, unconstrained sea ice floes, oil slicks, mangrove drifters, lost cargo containers, and other flotsam are known to move at 2-4% of the prevailing wind velocity relative to the water, despite vast differences in the material…

Atmospheric and Oceanic Physics · Physics 2022-04-28 Till J. W. Wagner , Ian Eisenman , Amanda M. Ceroli , Navid C. Constantinou

We show that the linear-stability analysis of the birth of Faraday waves on the surface of a fluid is simplified considerably when the fluid container is driven by a triangle waveform rather than by a sine wave. The calculation is simple…

patt-sol · Physics 2009-10-30 John Bechhoefer , Brad Johnson

The majority of coastal flows are characterized by turbulence, rendering the application of shallow water equations an inadequate approach for their accurate description. This paper presents a theory for characterizing accelerated coastal…

Fluid Dynamics · Physics 2024-09-19 Arno Roland Ndengna Ngatcha

Torque-driven microscale swimming robots, or microrotors, hold significant potential in biomedical applications such as targeted drug delivery, minimally invasive surgery, and micromanipulation. This paper addresses the challenge of…

Optimization and Control · Mathematics 2024-09-10 Jake Buzhardt , Phanindra Tallapragada

In the fluid transport of particles, it is generally expected that heavy particles carried by a laminar fluid flow moving downward will also move downward. We establish a theory to show, however, that particles can be dynamically levitated…

Fluid Dynamics · Physics 2017-03-20 Jean-Regis Angilella , Daniel J. Case , Adilson E. Motter

By "surface waves" one means a special kind of waves that propagate at the interface between two different media. There exists a large variety of such waves, which are interesting on their own, and sometimes have also practical importance…

Classical Physics · Physics 2021-07-12 M. I. Dyakonov

The computation of long wave propagation through the ocean obviously depends on the initial condition. When the waves are generated by a moving bottom, a traditional approach consists in translating the ``frozen'' sea bed deformation to the…

Fluid Dynamics · Physics 2020-02-20 Denys Dutykh , Frédéric Dias , Youen Kervella

We have proposed a new method for solving the problem of ship waves excited on the surface of a non-viscous liquid by a submerged object that moves at a variable speed. As a first application of this method, we have obtained a new solution…

Fluid Dynamics · Physics 2016-08-17 Anrei V. Arzhannikov , Igor A. Kotelnikov

We combine theories of scattering for linearized water waves and flexural waves in thin plates to characterize and achieve control of water wave scattering using floating plates. This requires manipulating a sixth-order partial differential…

Classical Physics · Physics 2020-04-06 Mohamed Farhat , Pai-Yen Chen , Hakan Bagci , Khaled Salama , Sebastien Guenneau

We introduce a new concept for the manipulation of fluid flow around three-dimensional bodies. Inspired by transformation optics, the concept is based on a mathematical idea of coordinate transformations and physically implemented with…

Fluid Dynamics · Physics 2011-09-07 Yaroslav A. Urzhumov , David R. Smith

We study dispersion properties of linear surface gravity waves propagating in an arbitrary direction atop a current profile of depth-varying magnitude using a piecewise linear approximation, and develop a robust numerical framework for…

Fluid Dynamics · Physics 2017-08-02 Benjamin K. Smeltzer , Simen Å. Ellingsen
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