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Related papers: Mean mass transport in an orbitally shaken cylindr…

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Orbital sloshing is a technique to gently mix a container's liquid content and it is commonly used in fermentation and cell cultivation processes. Besides the rich wave dynamics observed at the interface, Bouvard et al. (2017) [1] unveiled…

Fluid Dynamics · Physics 2024-07-08 Alessandro Bongarzone , François Gallaire

The particle trajectories in irrotational, incompressible and inviscid deep-water surface gravity waves are open, leading to a net drift in the direction of wave propagation commonly referred to as the Stokes Drift, which is responsible for…

Fluid Dynamics · Physics 2024-09-11 Aidan Blaser , Raphaël Benamran , A. Bia Villas Bôas , Luc Lenain , Nick Pizzo

Irrotational and monochromatic surface gravity waves possess a mean Lagrangian drift which transports mass and enhances mixing in the upper ocean. In the ocean, where many surface waves are present, it is commonly assumed that the mean…

Fluid Dynamics · Physics 2026-05-20 Aidan Blaser , Luc Lenain , Nick Pizzo

Viscous streaming has emerged as an effective method to transport, trap, and cluster inertial particles in a fluid. Previous work has shown that this transport is well described by the Maxey-Riley equation augmented with a term representing…

Fluid Dynamics · Physics 2020-08-26 Mathieu Le Provost , Jeff D. Eldredge

We investigate exact nonlinear waves on surfaces locally approximating the rotating sphere for two-dimensional inviscid incompressible flow. Our first system corresponds to a beta-plane approximation at the equator and the second to a gamma…

Fluid Dynamics · Physics 2024-11-20 Nick Pizzo , Rick Salmon

Finite-amplitude gravity waves at the air-water interface induce net fluid and particle transport, known as Stokes drift. While this mechanism is well understood for steady waves, transport under unsteady, evolving conditions remains poorly…

Fluid Dynamics · Physics 2026-04-29 Tatsuo Izawa , Giulio Foggi Rota , Alessandro Chiarini , Marco Edoardo Rosti

We study the free surface response in a cylindrical container undergoing an elliptic periodic orbit. For small forcing amplitudes and deep liquid layers, we quantify the effect of orbit's aspect ratio onto the surface dynamics in the…

Fluid Dynamics · Physics 2023-03-07 Alice Marcotte , François Gallaire , Alessandro Bongarzone

We investigate the flow in a spherical shell subject to a time harmonic oscillation of its rotation rate, also called longitudinal libration, when the oscillation frequency is larger than twice the mean rotation rate. In this frequency…

Fluid Dynamics · Physics 2013-10-08 Alban Sauret , Stéphane Le Dizès

When two spherical particles submerged in a viscous fluid are subjected to an oscillatory flow, they align themselves perpendicular to the direction of the flow leaving a small gap between them. The formation of this compact structure is…

The flow in a cylinder driven by time harmonic oscillations of the rotation rate, called longitudinal librations, is investigated. Using a theoretical approach and axisymmetric numerical simulations, we study two distinct phenomena…

Fluid Dynamics · Physics 2012-02-21 Alban Sauret , David Cébron , Michael Le Bars , Stéphane Le Dizès

We examine a two-dimensional deep-water surface gravity wave packet generated by a pressure disturbance in the Lagrangian reference frame. The pressure disturbance has the form of a narrow-banded weakly nonlinear deep-water wave packet.…

Fluid Dynamics · Physics 2025-02-25 Nick Pizzo , Gregory L. Wagner

This work is motivated by the interest in determining the effect of the micro-anatomy of the spinal subarachnoid space on the cerebrospinal fluid flow and on the associated transport of solutes. To that aim, we focus on a canonical model…

The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potential energy of the system. In the case of fluid with constant…

Fluid Dynamics · Physics 2024-06-04 Conor T. Curtin , Rossen I. Ivanov

We report experimental measurements of the flow in a cubic container submitted to a longitudinal libration, i.e. a rotation modulated in time. Velocity fields in a vertical and a horizontal plane are measured in the librating frame using a…

Fluid Dynamics · Physics 2013-10-15 J. Boisson , C. Lamriben , L. R. M. Maas , P. -P. Cortet , F. Moisy

This study examines the motion of spherical inertial particles in a three-dimensional rotating cylindrical vortex - a simplified model of geophysical flow structures such as oceanic eddies. The analytical vortex formulation enables the…

Fluid Dynamics · Physics 2025-06-12 Orr Avni , Alok Kumar , Yuval Dagan

Non-spherical particles transported by turbulent flow have a rich dynamics that combines their translational and rotational motions. Here, the focus is on small, heavy, inertial particles with a spheroidal shape fully prescribed by their…

Fluid Dynamics · Physics 2023-08-02 Sofia Allende , Jeremie Bec

We report experimental measurements of inertial waves generated by an oscillating cylinder in a rotating fluid. The two-dimensional wave takes place in a stationary cross-shaped wavepacket. Velocity and vorticity fields in a vertical plane…

Fluid Dynamics · Physics 2015-03-13 Pierre-Philippe Cortet , Cyril Lamriben , Frederic Moisy

We describe and analyze the mean transport due to transient progressive waves, including breaking waves. The waves are packets and are generated with a boundary-forced air-water two-phase Navier Stokes solver. The analysis is done in the…

Fluid Dynamics · Physics 2019-10-02 Juan M. Restrepo , Jorge M. Ramirez

We study experimentally the statistical properties and evolution of circulation in a turbulent flow passing through a smooth 2-D contraction. The turbulence is generated with an active grids to reach $Re_{\lambda} \simeq 220$ at the inlet…

Fluid Dynamics · Physics 2024-01-31 Vivek Mugundhan , Sigurdur T. Thoroddsen

Be it to aerate a glass of wine before tasting, to accelerate a chemical reaction or to cultivate cells in suspension, the "swirling" (or orbital shaking) of a container ensures good mixing and gas exchange in an efficient and simple way.…

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