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The flow of an electrically conducting fluid in a thin disc under the action of an azimuthal Lorentz force is studied experimentally. At small forcing, the Lorentz force is balanced by either viscosity or inertia, yielding quasi-Keplerian…

Fluid Dynamics · Physics 2021-09-14 Marlone Vernet , Michael Pereira , Stephan Fauve , Christophe Gissinger

The buoyancy-induced parallel flow in a vertical cylindrical porous layer is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce the buoyant flow. The layer boundaries are modelled as…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , D. A. S. Rees , B. Pulvirenti

It is possible to formulate immiscible and incompressible two-phase flow in porous media in a mathematical framework resembling thermodynamics based on the Jaynes generalization of statistical mechanics. We review this approach and discuss…

Fluid Dynamics · Physics 2025-01-22 Alex Hansen , Santanu Sinha

We study the weakly non-linear development of shear-driven gravity waves, and investigate the mixing properties of the finite amplitude solutions. Calculations to date have been restricted to the linear theory, which predicts that gravity…

Fluid Dynamics · Physics 2007-05-23 Alexandros Alexakis , Yuan-Nan Young , Robert Rosner

Turbulent flows of incompressible liquid in two dimensions are comprised of dense systems of vortices. Such system of vortices can be treated as a fluid and itself could be described in terms of hydrodynamics. We develop the hydrodynamics…

Fluid Dynamics · Physics 2014-09-11 Paul Wiegmann , Alexander G. Abanov

We use continuous wavelet transform techniques to construct the global and environment-dependent wavelet statistics, such as energy spectrum and kurtosis, to study the fluctuation and intermittency of the turbulent motion in the cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Yun Wang , Ping He

We study structure formation in two-dimensional turbulence driven by an external force, interpolating between linear instability forcing and random stirring, subject to nonlinear damping. Using extensive direct numerical simulations, we…

Fluid Dynamics · Physics 2024-01-09 A. van Kan , B. Favier , K. Julien , E. Knobloch

Quasigeostrophic flows are induced by spatial variations in interior potential vorticity and boundary buoyancy. We begin by developing the geostrophic turbulence theory of boundary buoyancy anomalies in a fluid with vanishing potential…

Fluid Dynamics · Physics 2022-07-21 Houssam Yassin

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.…

The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and…

Fluid Dynamics · Physics 2015-06-23 P. Clark di Leoni , P. D. Mininni

We prove local higher-order asymptotics for extreme water waves with vorticity near stagnation points. We obtain that the behaviour of solutions and their regularity depend substantially on the vorticity. In particular, we show that extreme…

Analysis of PDEs · Mathematics 2021-03-29 Vladimir Kozlov , Evgeniy Lokharu

In two-dimensional forced Navier-Stokes turbulence, energy cascades to the largest scales in the system to form a pair of coherent vortices known as the Bose condensate. We show, both numerically and analytically, that the energy…

Fluid Dynamics · Physics 2012-04-03 Chi-kwan Chan , Dhrubaditya Mitra , Axel Brandenburg

Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been thought to require a finite amplitude perturbation in…

Fluid Dynamics · Physics 2023-08-08 Miguel Beneitez , Jacob Page , Rich R. Kerswell

We experimentally study the properties of mean and most probable velocity fields in a turbulent von K\'arm\'an flow. These fields are found to be described by two families of functions, as predicted by a recent statistical mechanics study…

Statistical Mechanics · Physics 2009-11-11 R. Monchaux , F. Ravelet , B. Dubrulle , A. Chiffaudel , F. Daviaud

The wake of a body moving across the isopycnals of a strongly stratified fluid is characterized by the presence of an intense jet which, under certain circumstances, may become unstable. To get insight into the phenomenology of this…

Fluid Dynamics · Physics 2025-12-18 Chang-Fan Mo , Matthieu J. Mercier , Jacques Magnaudet , Jie Zhang

Non-radiating, advection-dominated, accretion flows are convectively unstable. We calculate the two-dimensional (r-theta) structure of such flows assuming that (1) convection transports angular momentum inwards, opposite to normal viscosity…

Astrophysics · Physics 2009-10-31 Eliot Quataert , Andrei Gruzinov

Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely…

A prevalent feature of three-dimensional turbulence is the presence of anomalous dissipation, or that the mean rate of energy dissipation is bounded below by a positive number in the inviscid limit. This is thought to be due to the…

Analysis of PDEs · Mathematics 2025-07-24 Ethan Dudley , Konstantina Trivisa

This paper studies the turbulent cascade of magnetic energy in weakly collisional magnetized plasmas. A cascade model is presented, based on the assumptions of local nonlinear energy transfer in wavenumber space, critical balance between…

In this paper, we present an experimental investigation of the turbulent saturation of the flow driven by parametric resonance of inertial waves in a rotating fluid. In our set-up, a half-meter wide ellipsoid filled with water is brought to…

Fluid Dynamics · Physics 2021-01-26 Thomas Le Reun , Benjamin Favier , Michael Le Bars
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