A sufficient condition for the ideal instability of shear flow with parallel magnetic field

1991 ◽  
Vol 3 (4) ◽  
pp. 863-865 ◽  
Author(s):  
X. L. Chen ◽  
P. J. Morrison
Keyword(s):  
Magnetic Field ◽  
Shear Flow ◽  
Sufficient Condition ◽  
Parallel Magnetic Field ◽  
The Ideal

Shear flow instability in a conducting viscous fluid

1973 ◽  
Vol 57 (3) ◽  
pp. 481-490
Author(s):  
B. Roberts
Keyword(s):  
Magnetic Field ◽  
Shear Flow ◽  
Viscous Fluid ◽  
Flow Instability ◽  
Approximate Solutions ◽  
Viscous Fluids ◽  
Neutral Stability ◽  
Parallel Magnetic Field ◽  
The Stability ◽  
Shear Flow Instability

The effect of a parallel magnetic field upon the stability of the plane interface between two conducting viscous fluids in uniform relative motion is considered. A parameter reduction, which has not previously been noted, is employed to facilitate the solution of the problem. Neutral stability curves for unrestricted ranges of the governing parameters are found, and the approximate solutions of other authors are examined in this light.

Stability of aligned magnetoatmospheric flow

1978 ◽  
Vol 19 (1) ◽  
pp. 77-86 ◽  
Author(s):  
J. A. Adam
Keyword(s):  
Magnetic Field ◽  
Shear Flow ◽  
Atmospheric Model ◽  
Stratified Fluid ◽  
Sufficient Condition ◽  
Stationary Equilibrium ◽  
Horizontal Magnetic Field ◽  
Energy Principle ◽  
Simple Generalization ◽  
The Stability

Using the stationary equilibrium energy principle a sufficient condition is obtained for the stability of a compressible stratified fluid with a non-uniform horizontal magnetic field, with an aligned shear flow. The condition is used to provide a simple generalization of a known result for a specific atmospheric model.

Nonlinear evolution of a weakly unstable wave in a free shear flow with a weak parallel magnetic field

1998 ◽  
Vol 369 ◽  
pp. 217-252 ◽  
Author(s):  
I. G. SHUKHMAN
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Shear Flow ◽  
Linear Growth ◽  
Critical Layer ◽  
Unstable Wave ◽  
Linear Growth Rate ◽  
Large Reynolds Number ◽  
Instability Wave ◽  
Parallel Magnetic Field

A study is made of the nonlinear spatial evolution of an externally excited instability wave in a mixing layer of nearly perfectly conducting fluid with a large Reynolds number in a weak parallel magnetic field.It is shown that the evolution pattern bears a resemblance to that of disturbances in a weakly stratified shear flow with the Prandtl number less than unity which was studied in our earlier publication (Shukhman & Churilov 1997): a weak magnetic field, like a weak stratification when Pr<1, has a stabilizing effect on the nonlinear development of disturbances and in the case when the linear growth rate of the wave is not too large leads either to the instability saturation in the viscous critical layer regime or to the establishment of a unsteady nonlinear critical layer regime where the wave amplitude oscillates without exceeding a certain maximum value. In this case the regime of the quasi-steady nonlinear critical layer is not attained evolutionarily. When the linear growth rate is large enough the magnetic field has no dynamical effect on evolution and the quasi-steady nonlinear critical layer regime with the well-known power-law growth of amplitude (A∝x2/3) is eventually attained.Also, the critical layer structure and the evolution behaviour in the case of a strong difference of dissipation coefficients (i.e. ordinary viscosity and magnetic viscosity) are considered.

scholarly journals Dynamics and rheology of a super-paramagnetic chain suspension under the combined effect of a shear flow and a rotating magnetic field.

Soft Matter ◽  
2021 ◽  
Author(s):  
Emanuele Rossi ◽  
Jose Antonio Ruiz-Lopez ◽  
Adolfo Vazquez-Quesada ◽  
Marco Ellero
Keyword(s):  
Magnetic Field ◽  
Shear Flow ◽  
Newtonian Fluid ◽  
Combined Effect ◽  
Rotating Magnetic Field ◽  
Paramagnetic Beads

This study presents an analysis of the dynamics of a single and multiple chains of spherical super-paramagnetic beads suspended in a Newtonian fluid under the combined effect of an external...

scholarly journals Magnetoviscosity of a Magnetic Fluid Based on Barium Hexaferrite Nanoplates

Materials ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 1870
Author(s):  
Dmitry Borin ◽  
Robert Müller ◽  
Stefan Odenbach
Keyword(s):  
Magnetic Field ◽  
Experimental Study ◽  
Magnetic Nanoparticles ◽  
External Magnetic Field ◽  
Shear Flow ◽  
Magnetic Fluid ◽  
Barium Hexaferrite ◽  
Dipole Interaction ◽  
Field Dependent ◽  
Fluid Behaviour

This paper presents the results of an experimental study of the influence of an external magnetic field on the shear flow behaviour of a magnetic fluid based on barium hexaferrite nanoplates. With the use of rheometry, the magnetoviscosity and field-dependent yield-stress in the fluid are evaluated. The observed fluid behaviour is compared to that of ferrofluids with magnetic nanoparticles having high dipole interaction. The results obtained supplement the so-far poorly studied topic of the influence of magnetic nanoparticles’ shape on magnetoviscous effects. It is concluded that the parameter determining the observed magnetoviscous effects in the fluid under study is the ratio V2/l3, where V is the volume of the nanoparticle and l is the size of the nanoparticle in the direction corresponding to its orientation in the externally applied magnetic field.

scholarly journals The effect of magnetic field on the dynamics of gas bubbles in water electrolysis

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yan-Hom Li ◽  
Yen-Ju Chen
Keyword(s):  
Magnetic Field ◽  
Swirling Flow ◽  
Gas Bubbles ◽  
Water Electrolysis ◽  
Platinum Electrodes ◽  
Optimal Layout ◽  
Parallel Magnetic Field ◽  
Hydrogen Bubbles ◽  
The Magnetic Field ◽  
Sluggish Flow

AbstractThis study determines the effect of the configuration of the magnetic field on the movement of gas bubbles that evolve from platinum electrodes. Oxygen and hydrogen bubbles respectively evolve from the surface of the anode and cathode and behave differently in the presence of a magnetic field due to their paramagnetic and diamagnetic characteristics. A magnetic field perpendicular to the surface of the horizontal electrode causes the bubbles to revolve. Oxygen and hydrogen bubbles revolve in opposite directions to create a swirling flow and spread the bubbles between the electrodes, which increases conductivity and the effectiveness of electrolysis. For vertical electrodes under the influence of a parallel magnetic field, a horizontal Lorentz force effectively detaches the bubbles and increases the conductivity and the effectiveness of electrolysis. However, if the layout of the electrodes and magnetic field results in upward or downward Lorentz forces that counter the buoyancy force, a sluggish flow in the duct inhibits the movement of the bubbles and decreases the conductivity and the charging performance. The results in this study determine the optimal layout for an electrode and a magnetic field to increase the conductivity and the effectiveness of water electrolysis, which is applicable to various fields including energy conversion, biotechnology, and magnetohydrodynamic thruster used in seawater.

scholarly journals Renormalized theory of the ion cyclotron turbulence in magnetic field-aligned plasma shear flow

2009 ◽  
Vol 16 (1) ◽  
pp. 012305 ◽  
Author(s):  
V. S. Mikhailenko ◽  
V. V. Mikhailenko ◽  
K. N. Stepanov ◽  
N. A. Azarenkov
Keyword(s):  
Magnetic Field ◽  
Shear Flow ◽  
Ion Cyclotron
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