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At the interface between two fluid layers in relative motion, infinitesimal fluctuations can be exponentially amplified, inducing vorticity and the breakdown of the laminar flow. This process, known as the Kelvin-Helmholtz instability, is…

We represent the outermost shear interface of an eddy by a circular vortex sheet in two dimensions, and provide a new proof of linear instability via the Birkhoff-Rott equation. Like planar vortex sheets, circular sheets are found to be…

Fluid Dynamics · Physics 2024-08-16 Galen Wilcox , Ryan Murray

The Kelvin-Helmholtz (KH) instability occurring in a single shear flow configuration that is embedded in a uniform flow-aligned magnetic field, is revisited by means of high resolution two-dimensional (2D) magnetohydrodynamic (MHD)…

Astrophysics · Physics 2009-11-10 H. Baty , R. Keppens , P. Comte

We use multiwavelength imaging observations from the Atmospheric Imaging Assembly (AIA) onboard the Solar Dynamics Observatory (SDO) to study the evolution of Kelvin-Helmholtz (K-H) instability in a fan-spine magnetic field configuration.…

Solar and Stellar Astrophysics · Physics 2021-12-22 Sudheer K. Mishra , Balveer Singh , A. K. Srivastava , Pradeep Kayshap , B. N. Dwivedi

We report here, for the first time, an observed instability of a Kelvin-Helmholtz (KH) nature occurring in a fully three-dimensional (3D) current-vortex sheet at the fan plane of a 3D magnetic null point. The current-vortex layer forms…

Solar and Stellar Astrophysics · Physics 2013-04-09 P. F. Wyper , D. I. Pontin

We study the evolution of vortex sheets according to the Birkhoff-Rott equation, which describe the motion of sharp shear interfaces governed by the incompressible Euler equation in two dimensions. In a recent work, the authors demonstrated…

Fluid Dynamics · Physics 2023-09-06 Ryan Murray , Galen Wilcox

We present a numerical investigation of three-dimensional, short-wavelength linear instabilities in Kelvin-Helmholtz (KH) vortices in homogeneous and stratified environments. The base flow, generated using two-dimensional numerical…

Fluid Dynamics · Physics 2022-11-28 H. M. Aravind , Manikandan Mathur , Thomas Dubos

Kelvin-Helmholtz instability (KHI) is widely spread in nature on scales from micrometer up to Galactic one. This instability refers to the growth of perturbation of an interface between two parallel streams of Newtonian fluids with…

Fluid Dynamics · Physics 2021-09-15 Narsing K. Jha , Victor Steinberg

This paper investigates the non-linear dynamics of horizontal shear instability in an incompressible, stratified and rotating fluid in the non-traditional $f$-plane, i.e. with the full Coriolis acceleration, using direct numerical…

Fluid Dynamics · Physics 2025-10-22 Camille Moisset , Paul Billant , Junho Park , Stéphane Mathis

Magnetohydrodynamic kink waves naturally form as a consequence of perturbations to a structured medium, for example transverse oscillations of coronal loops. Linear theory has provided many insights in the evolution of linear oscillations,…

Solar and Stellar Astrophysics · Physics 2024-03-26 Andrew Hillier , Iñigo Arregui , Takeshi Matsumoto

The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz instability is characterized by the formation of a spiral possessing complex stretching and intensity patterns. We show that the power energy spectrum of a single…

Classical Physics · Physics 2007-05-23 Malek Abid , Alberto Verga

A recent laboratory experiment (Blaauwgeers et al. 2003) suggests that a Kelvin-Helmholtz (KH) instability at the interface between two superfluids, one rotating and anisotropic, the other stationary and isotropic, may trigger sudden…

Astrophysics · Physics 2009-09-29 A. Mastrano , A. Melatos

The first realization of instabilities in the shear flow between two superfluids is examined. The interface separating the A and B phases of superfluid He-3 is magnetically stabilized. With uniform rotation we create a state with…

We have carried out simulations of the nonlinear evolution of the magnetohydrodynamic (MHD) Kelvin-Helmholtz (KH) instability for compressible fluids in $2\frac{1}{2}$-dimensions, extending our previous work by Frank et al (1996) and Jones…

Astrophysics · Physics 2016-08-30 Hyunju Jeong , Dongsu Ryu , T. W. Jones , Adam Frank

We investigate the nonlinear formation of plasmoids in 2D low-beta current sheets through the interplay between the Kelvin-Helmholtz instability (KHI) and the lower-hybrid drift instability (LHDI). Using a hybrid kinetic-gyrokinetic…

Plasma Physics · Physics 2026-01-21 S. Thatikonda , F. N. De Oliveira-Lopes , A. Mustonen , K. Pommois , D. Told , F. Jenko

This article revisits the instability of sharp shear interfaces, also called vortex sheets, in incompressible fluid flows. We study the Birkhoff-Rott equation, which describes the motion of vortex sheets according to the incompressible…

Fluid Dynamics · Physics 2023-09-06 Ryan Murray , Galen Wilcox

Kelvin-Helmholtz (KH) instability plays a significant role in transport and mixing properties of any medium. In this paper, we numerically explore this instability for a two-dimensional strongly coupled dusty plasma with rotational shear…

Plasma Physics · Physics 2022-01-26 Vikram Dharodi , Bhavesh Patel , Amita Das

We study the morphology of Eulerian vortical structures and their interaction with density interfaces in increasingly turbulent stably-stratified shear layers. We analyse the three-dimensional, simultaneous velocity and density fields…

Fluid Dynamics · Physics 2022-09-07 Xianyang Jiang , Adrien Lefauve , Stuart B. Dalziel , P. F. Linden

The Kelvin-Helmholtz (KH) instability of a shear layer with an initially-uniform magnetic field in the direction of flow is studied in the framework of 2D incompressible magnetohydrodynamics with finite resistivity and viscosity using…

Plasma Physics · Physics 2021-03-15 A. E. Fraser , P. W. Terry , E. G. Zweibel , M. J. Pueschel , J. M. Schroeder

Dynamical instabilities in fluid mechanics are responsible of a variety of important common phenomena, such as waves on the sea surface or Taylor vorteces in Couette flow. In granular media dynamical instabilities has just begun to be…

Soft Condensed Matter · Physics 2007-05-23 Massimo Pica Ciamarra , Mario Nicodemi , Antonio Coniglio
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