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Here we have considered the effects of shallowness of the domain as well as the air-water free surface on the stratified shear instabilities of the fluid underneath. First, we numerically solve the non-Boussinesq Taylor-Goldstein equation…

流体动力学 · 物理学 2020-03-11 Mihir H. Shete , Anirban Guha

Stability of inviscid shear shallow water flows with free surface is studied in the framework of the Benney equations. This is done by investigating the generalized hyperbolicity of the integrodifferential Benney system of equations. It is…

流体动力学 · 物理学 2016-10-20 Alexander Chesnokov , Gennady El , Sergey Gavrilyuk , Maxim Pavlov

We present a comprehensive theory for linear gravity-driven ship waves in the presence of a shear current with uniform vorticity, including the effects of finite water depth. The wave resistance in the presence of shear current is…

流体动力学 · 物理学 2016-04-25 Yan Li , Simen Å. Ellingsen

Using a 2D Viscoresistive Reduced MagnetoHydroDynamic (VR-RMHD) model, the magnetic island coalescence problem is studied in the presence of in-plane, parallel shear flows. Extending the analytical work of Waelbroeck et al [33] and…

等离子体物理 · 物理学 2021-10-14 Jagannath Mahapatra , Arkaprava Bokshi , Rajaraman Ganesh , Abhijit Sen

This paper is the first in a series investigating magnetohydrodynamic instabilities that may contribute to angular-momentum transport and magnetic-field evolution in stellar radiative zones. We focus on shear-driven instabilities,…

太阳与恒星天体物理 · 物理学 2026-02-10 V. Durepaire , L. Petitdemange , K. Belkacem , A. Guseva , L. Manchon , R. Hollerbach , F. Daniel

We establish a shallow water model for flows of electrically conducting fluids in homogeneous static magnetic fields that are confined between two parallel planes where turbulent Hartmann layers are present. This is achieved by modelling…

流体动力学 · 物理学 2020-06-09 Alban Pothérat , Jean-Philippe Schweitzer

We study the Rayleigh-Taylor problem for two incompressible, immiscible, viscous magnetohydrodynamic (MHD) flows, with zero resistivity, surface tension (or without surface tenstion) and special initial magnetic field, evolving with a free…

综合数学 · 数学 2012-05-02 Fei Jiang , Song Jiang , Yanjin Wang

This letter discusses rotating magnetohydrodynamics (MHD) of a thin layer of astrophysical plasma. To describe a thin plasma layer with a free surface in a vertical external magnetic field we use the shallow water ap- proximation. The…

太阳与恒星天体物理 · 物理学 2015-12-08 Dmitry Klimachkov , Arakel Petrosyan

The competition between the drive and stabilization of plasma microinstabilities by sheared flow is investigated, focusing on the ion temperature gradient mode. Using a twisting mode representation in sheared slab geometry, the…

等离子体物理 · 物理学 2015-05-19 Sarah L. Newton , Steve C. Cowley , Nuno F. Loureiro

We have extended our study of the competition between the drive and stabilization of plasma microinstabilities by sheared flow to include electromagnetic effects at low plasma $\beta$ (the ratio of plasma to magnetic pressure). The extended…

等离子体物理 · 物理学 2015-06-16 M. D. J. Cole , S. L. Newton , S. C. Cowley , N. F. Loureiro , D. Dickinson , C. Roach , J. W. Connor

The electrostatic shear-flow-driven ion cyclotron instability of magnetic field aligned sheared plasma flow is investigated analytically. It is shown that the shear-flow-driven electrostatic ion cyclotron instability can be considered as a…

等离子体物理 · 物理学 2011-01-18 D. V. Chibisov , V. S. Mikhailenko , K. N. Stepanov

The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation…

流体动力学 · 物理学 2025-10-07 Md. Mouzakkir Hossain , Mohamin B. M. Khan , Youchuang Chao

We study the stability of a compressible magnetic plane Couette flow and show that compressibility profoundly alters the stability properties if the magnetic field has a component perpendicular to the direction of flow. The necessary…

天体物理学 · 物理学 2008-11-26 Alfio Bonanno , Vadim Urpin

Asymptotic multi-layer analyses and computation of solutions for turbulent flows over steady and unsteady monochromatic surface wave are reviewed, in the limits of low turbulent stresses and small wave amplitude. The structure of the flow…

流体动力学 · 物理学 2013-12-17 S. G. Sajjadi , J. C. R. Hunt , F. Drullion

The structure and stability of the convective flow generated by a source located at the water surface containing an insoluble surfactant layer are experimentally investigated. Application of a few types of source, which differ in the force…

流体动力学 · 物理学 2022-04-13 Aleksey Mizev , Andrey Shmyrov , Anastasia Shmyrova

A linear analysis of the zombie vortex instability is performed in a stratified shearing sheet setting for three model barotropic shear flows. The linear analysis is done by utilizing a Green's function formulation to resolve the critical…

流体动力学 · 物理学 2016-10-26 Orkan M. Umurhan , Karim Shariff , Jeffrey N. Cuzzi

We investigate the 2D instability recently discussed by Gallet et al. (2010) and Ilin \& Morgulis (2013) which arises when a radial crossflow is imposed on a centrifugally-stable swirling flow. By finding a simpler rectilinear example of…

流体动力学 · 物理学 2023-07-19 R. R. Kerswell

We study the linear evolution of small perturbations in self-gravitating fluid systems with magnetic fields. We consider wave-like perturbations to nonuniform filamentary and sheet-like hydrostatic equilibria in the presence of a uniform…

天体物理学 · 物理学 2015-06-24 Curtis S. Gehman , Fred C. Adams , Richard Watkins

The helical magnetorotational instability is known to work for resistive rotational flows with comparably steep negative or extremely steep positive shear. The corresponding lower and upper Liu limits of the shear are continuously connected…

等离子体物理 · 物理学 2016-11-30 George Mamatsashvili , Frank Stefani

We study the magnetic Rayleigh-Taylor instability in three dimensions, with focus on the nonlinear structure and evolution that results from different initial field configurations. We study strong fields in the sense that the critical…

天体物理学 · 物理学 2009-11-13 James M. Stone , Thomas Gardiner