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The linear normal-mode stratorotational instability (SRI) is analytically reexamined in the inviscid limit where the length scales of horizontal disturbances are large compared their vertical and radial counterparts. Boundary conditions…

Astrophysics · Physics 2009-11-11 O. M. Umurhan

Three-dimensional direct numerical simulations of an incompressible open square cavity flow are conducted. Features of the permanent (non-linear) regime together with the linear stability analysis of a two-dimensional steady base flow are…

Fluid Dynamics · Physics 2012-07-30 L. R. Pastur , Y. Fraigneau , F. Lusseyran , J. Basley

We investigate the shock-induced turbulent mixing between a light and heavy gas, where a Richtmyer-Meshkov instability (RMI) is initiated by a $\Ma = 1.5$ shock wave. The prescribed initial conditions define a deterministic multimode…

Fluid Dynamics · Physics 2015-06-18 V. K. Tritschler , B. J. Olson , S. K. Lele , S. Hickel , X. Y. Hu , N. A. Adams

We investigate the hydrodynamics of the interaction of two supersonic winds in binary systems. The collision of the winds creates two shocks separated by a contact discontinuity. The overall structure depends on the momentum flux ratio eta…

Solar and Stellar Astrophysics · Physics 2015-05-30 Astrid Lamberts , Sebastien Fromang , Guillaume Dubus

We investigated the linear stability of pipe flow with anisotropic slip length at the wall by considering streamwise and azimuthal slip separately as the limiting cases. Our numerical analysis shows that streamwise slip renders the flow…

Fluid Dynamics · Physics 2021-01-20 Kaiwen Chen , Baofang Song

The possibility that the magnetic shear-flow instability (MRI, Balbus-Hawley instability) might give rise to turbulence in a cylindric Couette flow is investigated through numerical simulations. The study is linear and the fluid flow is…

Astrophysics · Physics 2009-11-06 G. Rüdiger , Y. Zhang

Traditionally, turbulence energetics is characterized by turbulent kinetic energy (TKE) and modelled using solely the TKE budget equation. In stable stratification, TKE is generated by the velocity shear and expended through viscous…

Atmospheric and Oceanic Physics · Physics 2009-11-13 S. S. Zilitinkevich , T. Elperin , N. Kleeorin , I. Rogachevskii , I. Esau , T. Mauritsen , M. W. Miles

Direct numerical simulations of homogeneous sheared and stably stratified turbulence are considered to probe the asymptotic high-dynamic range regime suggested by Gargett et al. 1984 and Shih et al. 2005. We consider statistically…

Fluid Dynamics · Physics 2019-06-05 G. D. Portwood , S. M. de Bruyn Kops , C. P. Caulfield

The stability of stratified flows at locations in the Clyde, Irish and Celtic Seas on the UK Continental Shelf is examined. Flows are averaged over periods of 12-30 min in each hour, corresponding to the times taken to obtain reliable…

Atmospheric and Oceanic Physics · Physics 2016-03-23 Zhiyu Liu

We consider the dynamics of a vertically stratified, horizontally-forced Kolmogorov flow. Motivated by astrophysical systems where the Prandtl number is often asymptotically small, our focus is the little-studied limit of high Reynolds…

Fluid Dynamics · Physics 2020-10-27 L. Cope , P. Garaud , C. P. Caulfield

The nonlinear evolution of two fluid interfacial structures like bubbles and spikes arising due to the combined action of Rayleigh-Taylor and Kelvin-Helmholtz instability or due to that of Richtmyer-Meshkov and Kelvin-Helmholtz instability…

Plasma Physics · Physics 2010-10-07 M. R. Gupta , Labakanta Mandal , Sourav Roy , Rahul Banerjee , Manoranjan Khan

The common feature of sheared flows of an ideal fluid and plasma in magnetic field is the Kelvin-Helmholtz instability. This instability is described by identical equations in mentioned two cases. The wave equation for the eigenmodes in the…

Plasma Physics · Physics 2012-07-31 A. Yu. Chirkov , V. I. Khvesyuk

We study wave turbulence in shallow water flows in numerical simulations using two different approximations: the shallow water model, and the Boussinesq model with weak dispersion. The equations for both models were solved using periodic…

Fluid Dynamics · Physics 2015-06-17 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

We present experimental measurements of a wall-bounded gravity current, motivated by characterizing natural gravity currents such as oceanic overflows. We use particle image velocimetry and planar laser-induced fluorescence to…

Fluid Dynamics · Physics 2020-12-25 Philippe Odier , Jun Chen , Robert E. Ecke

We study the stability of density stratified flow between co-rotating vertical cylinders with rotation rates $\Omega_o < \Omega_i$ and radius ratio $r_i/r_o=0.877$, where subscripts $o$ and $i$ refer to the outer and inner cylinders. Just…

Fluid Dynamics · Physics 2016-04-12 Ruy Ibanez , Harry L. Swinney , Bruce Rodenborn

In this paper, we construct growing modes of the linearized Navier-Stokes equations about generic stationary shear flows of the boundary layer type in a regime of sufficiently large Reynolds number: $R \to \infty$. Notably, the shear…

Analysis of PDEs · Mathematics 2017-02-22 Emmanuel Grenier , Yan Guo , Toan T. Nguyen

Linear stability and the non-modal transient energy growth in compressible plane Couette flow are investigated for two prototype mean flows: (a) the {\it uniform shear} flow with constant viscosity, and (b) the {\it non-uniform shear} flow…

Fluid Dynamics · Physics 2008-04-02 M. Malik , J. Dey , Meheboob Alam

We present an investigation of rapidly rotating (small Rossby number $Ro\ll 1$) and stratified turbulence where the stratification strength is varied from weak (large Froude number $Fr\gg1$) to strong ($Fr\ll1$). The investigation is set in…

Fluid Dynamics · Physics 2016-08-24 David Nieves , Ian Grooms , Keith Juilen , Jeffrey B. Weiss

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

Recent work demonstrated that alternative models to the "no-slip" boundary condition for incipient flow perturbations can produce linear instabilities that do not arise in the classical formulation. The present study introduces a Robin-type…

Fluid Dynamics · Physics 2025-03-25 John O. Dabiri , Anthony Leonard