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Parametrically excited standing waves are observed on a cylindrical fluid filament. These are the cylindrical analog of Faraday instability in a flat surface or spherical droplet. Using the Floquet technique, linear stability analysis has…

Fluid Dynamics · Physics 2020-10-28 Dilip Kumar Maity

Two-dimensional nonlinear gravity waves travelling in shallow water on a vertically sheared current of constant vorticity are considered. Using Euler equations, in the shallow water approximation, hyperbolic equations for the surface…

Fluid Dynamics · Physics 2018-07-04 Christian Kharif , Malek Abid

The effect of streamwise-traveling waves of spanwise wall velocity (StTW) on the quasi-streamwise vortices (QSV) populating the near-wall region of turbulent channels is studied via a conditional averaging technique applied to flow…

Fluid Dynamics · Physics 2022-08-23 Emanuele Gallorini , Maurizio Quadrio , Davide Gatti

Wind-forced near-inertial waves (NIWs) propagate through a sea of mesoscale eddies, which can fundamentally alter their evolution. The nature of this NIW--mesoscale interaction depends on how dispersive the waves are. For weakly dispersive…

Atmospheric and Oceanic Physics · Physics 2025-07-17 Scott Conn , Jörn Callies

This study investigates the spatial evolution of a zero pressure gradient turbulent boundary layer (TBL) imposed by a square-wave (SqW) of steady spanwise wall-forcing, which varies along the streamwise direction ($x$). The SqW wall-forcing…

Fluid Dynamics · Physics 2025-06-11 Max W. Knoop , Rahul Deshpande , Ferry F. J. Schrijer , Bas W. van Oudheusden

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting…

Fluid Dynamics · Physics 2009-10-27 Kausik S. Das , Stephen W. Morris , A. Bhattacharyay

The evolution of isotropic, nondispersive, inertial wave, emerging from an unsteady initial coherent vortex is studied for strongly correlated Yukawa medium using 2D molecular dynamics simulation. In this study, the effect of azimuthal…

Plasma Physics · Physics 2019-01-23 Akanksha Gupta , Rajaraman Ganesh

We investigate the properties of forced inertial modes of a rotating fluid inside a spherical shell. Our forcing is tidal like, but its main property is that it is on the large scales. Our solutions first confirm some analytical results…

Solar and Stellar Astrophysics · Physics 2015-05-14 M. Rieutord , L. Valdettaro

In the rapidly rotating limit, we derive a balanced set of reduced equations governing the strongly nonlinear development of the convective wall-mode instability in the interior of a general container. The model illustrates that wall-mode…

Magnetic buoyancy instability plays an important role in the evolution of astrophysical magnetic fields. Here we revisit the problem introduced by \citet{Gilman_1970} of the short wavelength linear stability of a plane layer of compressible…

Solar and Stellar Astrophysics · Physics 2015-06-15 K. A. Mizerski , C. R. Davies , D. W. Hughes

In this paper, we consider capillary-gravity waves propagating on the interface separating two fluids of finite depth and constant density. The flow in each layer is assumed to be incompressible and of constant vorticity. We prove the…

Analysis of PDEs · Mathematics 2022-08-18 Daniel Sinambela

Standing waves appear at the surface of a spherical viscous liquid drop subjected to radial parametric oscillation. This is the spherical analogue of the Faraday instability. Modifying the Kumar & Tuckerman (1994) planar solution to a…

Fluid Dynamics · Physics 2019-05-16 Ali-higo Ebo-Adou , Laurette S. Tuckerman

Using a matched asymptotic expansion we analyze the two-dimensional, near- critical reflection of a weakly nonlinear, internal gravity wave from a sloping boundary in a uniformly stratified fluid. Taking a distinguished limit in which the…

patt-sol · Physics 2017-05-17 T. Dauxois , W. R. Young

For the past two hundred years, parametric instabilities have been studied in various physical systems, such as fluids, mechanical devices and even inflationary cosmology. It was not until a few decades ago that this subharmonic unstable…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Vitor S. Barroso , August Geelmuyden , Zack Fifer , Sebastian Erne , Anastasios Avgoustidis , Richard J. A. Hill , Silke Weinfurtner

Transient Navies--Stokes equations for laminar flow of incompressible fluid in a channel with permeable wall are reduced to a single equation for the transversal profile of longitudinal flow velocity. Small--amplitude harmonic perturbation…

Fluid Dynamics · Physics 2023-02-14 Andrei Kulikovsky

We study the onset of spontaneous dynamics in the follower force model of an active filament, wherein a slender elastic filament in a viscous liquid is clamped normal to a wall at one end and subjected to a tangential compressive force at…

Fluid Dynamics · Physics 2025-04-02 Ory Schnitzer

The propagation and transformation of water waves over varying bathymetries is a subject of fundamental interest to ocean, coastal and harbor engineers. The specific bathymetry considered in this paper consists of one or two, naturally…

The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and strongly non-linear waves in a three-dimensional fluid with…

Fluid Dynamics · Physics 2025-02-04 Alex Doak , Guido Baardink , Paul A Milewski , Anton Souslov

We provide an analytical solution to examine the impact of steady and pulsatile flow in a symmetric wavy channel filled with an anisotropic porous medium. The flow inside the wavy channel with a porous substrate is governed by the…

Fluid Dynamics · Physics 2025-10-13 Sanchita Pramanik , Timir Karmakar

We use Diffusing Wave Spectroscopy (DWS) to perform the first direct space- and time-resolved measurement of the dissipation rate~$\epsilon$ at the boundary of a turbulent flow. We have shown in a previous publication that this technique…

Fluid Dynamics · Physics 2025-11-06 Enzo Francisco , Julien Lambret , Sébastien Aumaître
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