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.

A note on surface waves generated by shear-flow instability

2001 ◽  
Vol 447 ◽  
pp. 173-177 ◽  
Author(s):  
JOHN MILES
Keyword(s):  
Shear Flow ◽  
Velocity Profile ◽  
Asymptotic Approximation ◽  
Variational Formulation ◽  
Numerical Solutions ◽  
Flow Instability ◽  
Analytical Description ◽  
Short Waves ◽  
The Stability ◽  
Shear Flow Instability

Morland, Saffman & Yuen's (1991) study of the stability of a semi-infinite, concave shear flow bounded above by a capillary–gravity wave, for which they obtained numerical solutions of Rayleigh's equation, is revisited. A variational formulation is used to construct an analytical description of the unstable modes for the exponential velocity profile U = U0 exp(y/d), −∞ < y [les ] 0. The assumption of slow waves ([mid ]c[mid ] [Lt ] U0) yields an approximation that agrees with the numerical results of Morland et al. The assumption of short waves (kd [Gt ] 1) yields Shrira's (1993) asymptotic approximation.

scholarly journals On the predominance of oblique disturbances in the supersonic shear flow instability of the geomagnetic tail boundary

2003 ◽  
Vol 10 (4/5) ◽  
pp. 351-361 ◽  
Author(s):  
V. V. Mishin
Keyword(s):  
Magnetic Field ◽  
Shear Flow ◽  
Flow Instability ◽  
Flow Direction ◽  
Large Angle ◽  
Spectral Width ◽  
Compressibility Effect ◽  
Geomagnetic Tail ◽  
Magnetospheric Tail ◽  
Shear Flow Instability

Abstract. A study is made of the influence of the longitudinal magnetic field and density inhomogeneity on the supersonic shear flow instability at the magnetospheric tail boundary. It is shown that the most unstable are slow oblique (3D) disturbances, with a phase velocity approaching at a sufficiently large angle (with respect to the flow direction) the magnetosonic velocity. Their growth rate and spectral width are much larger than those of the usually considered longitudinal (2D) supersonic disturbances. The magnetic field reduces the compressibility effect and, unlike the subsonic case, has a noticeable destabilizing effect on the excitation of oblique disturbances.

scholarly journals The impact of magnetic fields on momentum transport and saturation of shear-flow instability by stable modes

2021 ◽  
Vol 28 (2) ◽  
pp. 022309
Author(s):  
A. E. Fraser ◽  
P. W. Terry ◽  
E. G. Zweibel ◽  
M. J. Pueschel ◽  
J. M. Schroeder
Keyword(s):  
Magnetic Fields ◽  
Shear Flow ◽  
Flow Instability ◽  
Momentum Transport ◽  
Shear Flow Instability ◽  
The Impact

A novel low inertia shear flow instability triggered by a chemical reaction

2007 ◽  
Vol 19 (8) ◽  
pp. 083102 ◽  
Author(s):  
Teodor Burghelea ◽  
Kerstin Wielage-Burchard ◽  
Ian Frigaard ◽  
D. Mark Martinez ◽  
James J. Feng
Keyword(s):  
Shear Flow ◽  
Chemical Reaction ◽  
Flow Instability ◽  
Shear Flow Instability
Sign in / Sign up

Export Citation Format

Share Document