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.

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.

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

Instability in Stratified Shear Flow: Review of a Physical Interpretation Based on Interacting Waves

2011 ◽  
Vol 64 (6) ◽  
Author(s):  
Jeffrey R. Carpenter ◽  
Edmund W. Tedford ◽  
Eyal Heifetz ◽  
Gregory A. Lawrence
Keyword(s):  
Shear Flow ◽  
Physical Interpretation ◽  
Shear Flows ◽  
Flow Instability ◽  
Phase Locking ◽  
River Estuary ◽  
Wave Interaction ◽  
The Stability ◽  
Interaction Approach ◽  
The Waves

Instability in homogeneous and density stratified shear flows may be interpreted in terms of the interaction of two (or more) otherwise free waves in the velocity and density profiles. These waves exist on gradients of vorticity and density, and instability results when two fundamental conditions are satisfied: (I) the phase speeds of the waves are stationary with respect to each other (“phase-locking“), and (II) the relative phase of the waves is such that a mutual growth occurs. The advantage of the wave interaction approach is that it provides a physical interpretation to shear flow instability. This paper is largely intended to purvey the basics of this physical interpretation to the reader, while both reviewing and consolidating previous work on the topic. The interpretation is shown to provide a framework for understanding many classical and nonintuitive results from the stability of stratified shear flows, such as the Rayleigh and Fjørtoft theorems, and the destabilizing effect of an otherwise stable density stratification. Finally, we describe an application of the theory to a geophysical-scale flow in the Fraser River estuary.

Shear flow instability at the interface among two streams of a highly dissipative complex plasma

2011 ◽  
Vol 96 (1) ◽  
pp. 15001 ◽  
Author(s):  
R. Heidemann ◽  
S. Zhdanov ◽  
K. R. Sütterlin ◽  
H. M. Thomas ◽  
G. E. Morfill
Keyword(s):  
Shear Flow ◽  
Flow Instability ◽  
Complex Plasma ◽  
Shear Flow Instability

Parallel shear flow instability in the tokamak edge

2011 ◽  
Vol 415 (1) ◽  
pp. S601-S604 ◽  
Author(s):  
F. Schwander ◽  
G. Chiavassa ◽  
G. Ciraolo ◽  
Ph. Ghendrih ◽  
L. Isoardi ◽  
...  
Keyword(s):  
Shear Flow ◽  
Flow Instability ◽  
Tokamak Edge ◽  
Parallel Shear Flow ◽  
Shear Flow Instability
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