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In this paper we examine the flow generated by coupled surface and internal small-amplitude water waves in a two-fluid layer model, where we take the upper layer to be rotational (constant vorticity) and the lower layer to be irrotational.…

Fluid Dynamics · Physics 2026-01-21 David Henry , Rossen I. Ivanov , Zisis N. Sakellaris

A spherical hydrodynamical expansion flow can be described as the gradient of a potential. In that case no vorticity should be produced, but several additional mechanisms can drive its production. Here we analyze the effects of…

Astrophysics of Galaxies · Physics 2011-06-14 Fabio Del Sordo , Axel Brandenburg

In confined rotating convection, a strong zonal flow can develop close to the side wall with a modal structure that precesses anti-cyclonically (counter to the applied rotation) along the side wall. It is surmised that this is a robust…

Motivated by recent experimental studies of Bodenschatz et al. [E. Bodenschatz, J.R. de Bruyn, G. Ahlers and D.S. Cannell, Phys. Rev. Lett. {\bf 67}, 3078 (1991) ], we present a numerical study of a generalized two dimensional…

patt-sol · Physics 2008-02-03 Hao-wen Xi , J. D. Gunton , Jorge Vinals

Joy's law describes the tilt of bipolar active regions on the Sun away from an east-west orientation, where the flux of the polarity concentrated at the prograde side tends to be closer to the equator than the polarity on the retrograde…

Solar and Stellar Astrophysics · Physics 2025-07-30 William Roland-Batty , Hannah Schunker , Robert H. Cameron , Damien Przybylski , Laurent Gizon , David I. Pontin

To produce a vortex, a torque must be applied to the fluid. In viscous fluids, the torques that produce turbulent vortices result from the loss of symmetry of the stress tensor, once the viscous friction exceeds the shear stress resistance…

General Physics · Physics 2020-04-21 A. Paglietti

We study the development and decay of vortex in viscoelastic fluids between coaxial cylinders by means of experiments with solutions of polyacrylamide and glycerin and numerical simulations. The transient process is triggered when the inner…

Fluid Dynamics · Physics 2022-03-02 Renzo Guido , Felipe Rinderknecht , Cecilia Cabeza , Arturo C. Marti , Gustavo Sarasúa

Vertical convection is the fluid motion that is induced by the heating and cooling of two opposed vertical boundaries of a rectangular cavity (see e.g. Wang et al. 2021). We consider the linear stability of the steady two-dimensional flow…

Fluid Dynamics · Physics 2023-12-14 Arman Khoubani , Ashwin Vishnu Mohanan , Pierre Augier , Jan-Bert Flór

The appearance of quantised vortices in the classical ``rotating bucket'' experiments of liquid helium and ultracold dilute gases provides the means for fundamental and comparative studies of different superfluids. Here, we realize the…

It is shown that laminar vortex rings can be generated by impulsive body forces having particular spatial and temporal characteristics. The method produces vortex rings in a fluid initially at rest, and once generated, the flow field…

In this paper we present numerical simulations of rapidly-rotating Rayleigh-B\'enard convection in the Boussinesq approximation with stress-free boundary conditions. At moderately low Rossby number and large Rayleigh number, we show that a…

Fluid Dynamics · Physics 2015-06-22 B. Favier , L. J. Silvers , M. R. E. Proctor

We consider active particles swimming in a convergent fluid flow in a trapezoid nozzle with no-slip walls. We use mathematical modeling to analyze trajectories of these particles inside the nozzle. By extensive Monte Carlo simulations, we…

Soft Condensed Matter · Physics 2017-12-06 Mykhailo Potomkin , Andreas Kaiser , Leonid Berlyand , Igor Aranson

Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

We present experimental and theoretical results on formation of quantum vortices in a laser beam propagating in a nonlinear medium. Topological constrains richer than the mere conservation of vorticity impose an elaborate dynamical behavior…

Optics · Physics 2024-01-22 Thibault Congy , Pierre Azam , Robin Kaiser , Nicolas Pavloff

When an object is accelerated in a fluid, a primary vortex is formed through the roll-up of a shear layer. This primary vortex does not grow indefinitely and will reach a limiting size and strength. Additional vorticity beyond the critical…

Fluid Dynamics · Physics 2021-07-01 Diego Francescangeli , Karen Mulleners

The conditions in which meridional recirculations appear in swirling flows above a fixed wall are analysed. In the classical Bodew\"adt problem, where the swirl tends towards an aysmptotic value away from the wall, the well-known "tea-cup…

Fluid Dynamics · Physics 2013-09-24 A. Pothérat , F. Rubiconi , Y. Charles , V. Dousset

In rotating Rayleigh-B\'enard convection, columnar vortices advect horizontally in a stochastic manner. When the centrifugal buoyancy is present the vortices exhibit radial motions that can be explained through a Langevin-type stochastic…

We prove non-existence of nontrivial uniformly subsonic inviscid irrotational flows around several classes of solid bodies with two protruding corners, in particular vertical and angled flat plates; horizontal plates are the only case where…

Analysis of PDEs · Mathematics 2017-08-21 Volker Elling

An improved understanding of how vortices develop and propagate under pulsatile flow can shed important light on the mixing and transport processes including the transition to turbulent regime occurring in such systems. For example, the…

Fluid Dynamics · Physics 2019-12-13 Nicasio Barrere , Javier Brum , Alexandre L'Her , Gustavo L. Sarasúa , Cecilia Cabeza

The study of vortex flows around solid obstacles is of considerable interest from both a theoretical and practical perspective. One geometry that has attracted renewed attention recently is that of vortex flows past a circular cylinder…

Fluid Dynamics · Physics 2019-05-06 G. L. Vasconcelos , M. Moura