Helmholtz instability in stratified shear flows with magnetic fields

1983 ◽  
Vol 95 (2) ◽  
pp. 277-282 ◽  
Author(s):  
A. Satya Narayanan
Keyword(s):  
Magnetic Fields ◽  
Shear Flows ◽  
Helmholtz Instability

scholarly journals Magnetic field generation in a jet-sheath plasma via the kinetic Kelvin-Helmholtz instability

2013 ◽  
Vol 31 (9) ◽  
pp. 1535-1541 ◽  
Author(s):  
K.-I. Nishikawa ◽  
P. Hardee ◽  
B. Zhang ◽  
I. Duţan ◽  
M. Medvedev ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Magnetic Fields ◽  
Electric Field ◽  
Flow Direction ◽  
Transverse Magnetic ◽  
Velocity Shear ◽  
Helmholtz Instability ◽  
Magnetic Field Generation ◽  
Relativistic Jet

Abstract. We have investigated the generation of magnetic fields associated with velocity shear between an unmagnetized relativistic jet and an unmagnetized sheath plasma. We have examined the strong magnetic fields generated by kinetic shear (Kelvin–Helmholtz) instabilities. Compared to the previous studies using counter-streaming performed by Alves et al. (2012), the structure of the kinetic Kelvin–Helmholtz instability (KKHI) of our jet-sheath configuration is slightly different, even for the global evolution of the strong transverse magnetic field. In our simulations the major components of growing modes are the electric field Ez, perpendicular to the flow boundary, and the magnetic field By, transverse to the flow direction. After the By component is excited, an induced electric field Ex, parallel to the flow direction, becomes significant. However, other field components remain small. We find that the structure and growth rate of KKHI with mass ratios mi/me = 1836 and mi/me = 20 are similar. In our simulations saturation in the nonlinear stage is not as clear as in counter-streaming cases. The growth rate for a mildly-relativistic jet case (γj = 1.5) is larger than for a relativistic jet case (γj = 15).

Deformation of a ferrofluid droplet in simple shear flows under uniform magnetic fields

2018 ◽  
Vol 30 (9) ◽  
pp. 092002 ◽  
Author(s):  
Md Rifat Hassan ◽  
Jie Zhang ◽  
Cheng Wang
Keyword(s):  
Magnetic Fields ◽  
Simple Shear ◽  
Shear Flows

Effects of external magnetic fields on the rheology and magnetization of dilute emulsions of ferrofluid droplets in shear flows

2020 ◽  
Vol 32 (7) ◽  
pp. 073306 ◽  
Author(s):  
L. H. P. Cunha ◽  
I. R. Siqueira ◽  
F. R. Cunha ◽  
T. F. Oliveira
Keyword(s):  
Magnetic Fields ◽  
Shear Flows

On the generation of surface waves by shear flows Part 3. Kelvin-Helmholtz instability

1959 ◽  
Vol 6 (4) ◽  
pp. 583-598 ◽  
Author(s):  
John W. Miles
Keyword(s):  
Surface Waves ◽  
Shear Flows ◽  
Phase Changes ◽  
Inviscid Fluid ◽  
Helmholtz Instability ◽  
Two Fluids ◽  
Wind Speeds ◽  
Aerodynamic Pressure ◽  
Weighted Means ◽  
Parallel Shear Flows

The Kelvin-Helmholtz model for the formation of surface waves at the interface between two fluids in relative motion is generalized for parallel shear flows. It is assumed that phase changes across the flow are negligible and hence that the aerodynamic pressure on the wave is in phase with its displacement (rather than its slope). A variational formulation is established and leads to the determination of appropriately weighted means for the velocity profiles. The principal application is to flow of a light inviscid fluid over a viscous liquid; it is shown that the principle of exchange of stabilities is applicable to such a configuration, and a critical wind speed in satisfactory agreement with observation is predicted for an air-oil interface. The results also are applied to an air-water interface and lead to the conclusion that Kelvin-Helmholtz instability of such an interface is unlikely at commonly observed wind speeds. A more general formulation of the Kelvin-Helmholtz boundary-value problem and variational principle, allowing for variations in both velocity and density, is given in two appendices.

Kelvin-Helmholtz instability in viscoelastic fluids in presence of electro-magnetic fields

2011 ◽  
Vol 23 (9) ◽  
pp. 094107 ◽  
Author(s):  
Amey S. Joshi ◽  
M. C. Radhakrishna ◽  
N. Rudraiah
Keyword(s):  
Magnetic Fields ◽  
Viscoelastic Fluids ◽  
Helmholtz Instability ◽  
Electro Magnetic

Physical effects of magnetic fields on the Kelvin-Helmholtz instability in a free shear layer

2018 ◽  
Vol 30 (4) ◽  
pp. 044102 ◽  
Author(s):  
Y. Liu ◽  
Z. H. Chen ◽  
H. H. Zhang ◽  
Z. Y. Lin
Keyword(s):  
Magnetic Fields ◽  
Shear Layer ◽  
Free Shear Layer ◽  
Helmholtz Instability ◽  
Physical Effects

scholarly journals KELVIN–HELMHOLTZ INSTABILITY IN CORONAL MAGNETIC FLUX TUBES DUE TO AZIMUTHAL SHEAR FLOWS

2010 ◽  
Vol 712 (2) ◽  
pp. 875-882 ◽  
Author(s):  
R. Soler ◽  
J. Terradas ◽  
R. Oliver ◽  
J. L. Ballester ◽  
M. Goossens
Keyword(s):  
Magnetic Flux ◽  
Shear Flows ◽  
Helmholtz Instability ◽  
Flux Tubes ◽  
Azimuthal Shear ◽  
Magnetic Flux Tubes
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