Shear Flow Driven Compressional Magnetohydrodynamic Surface Waves in Plasmas

2001 ◽  
Vol 63 (2) ◽  
pp. 150-153
Author(s):  
D Jovanović ◽  
J Vranjes ◽  
P K Shukla
Keyword(s):  
Shear Flow ◽  
Surface Waves

scholarly journals Wave blocking phenomenon of surface waves on a shear flow with a constant vorticity

2016 ◽  
Vol 28 (3) ◽  
pp. 032102 ◽  
Author(s):  
Philippe Maïssa ◽  
Germain Rousseaux ◽  
Yury Stepanyants
Keyword(s):  
Shear Flow ◽  
Surface Waves ◽  
Constant Vorticity ◽  
Wave Blocking

Wind-Generated Surface Waves on a Viscous Fluid

1985 ◽  
Vol 52 (1) ◽  
pp. 208-212 ◽  
Author(s):  
C. Katsis ◽  
T. R. Akylas
Keyword(s):  
Shear Flow ◽  
Viscous Fluid ◽  
Surface Waves ◽  
High Viscosity ◽  
Wave Generation ◽  
Generation Mechanism ◽  
Flow Profile ◽  
Wind Speeds ◽  
Dominant Wave ◽  
Tollmien Schlichting

The excitation of surface waves on a viscous fluid by shear flows is studied. Turbulent and laminar air flows over oil of low and high viscosity are considered. It is found that the dominant wave-generation mechanism depends crucially on the shear-flow profile: for a turbulent flow, long surface waves are generated at low wind speeds due to the work done by the stress components in phase with the surface slope, while Kelvin-Helmholtz instability is responsible for the excitation of short waves at higher wind speeds. On the other hand, for a laminar shear flow, direct resonance between surface waves and Tollmien-Schlichting waves in the shear flow is the dominant wave-generation mechanism.

Surface waves on an inviscid shear flow in a channel

Wave Motion ◽  
1994 ◽  
Vol 19 (2) ◽  
pp. 135-144 ◽  
Author(s):  
John P. McHugh
Keyword(s):  
Shear Flow ◽  
Surface Waves

Weakly nonlinear surface gravity waves in a depth-dependent background flow

2021 ◽  
Author(s):  
Zibo Zheng ◽  
Yan Li ◽  
Simen Ellingsen
Keyword(s):  
Shear Flow ◽  
Surface Waves ◽  
Second Order ◽  
Irregular Waves ◽  
Exceedance Probability ◽  
Wave Group ◽  
Background Flow ◽  
Geophysical Research ◽  
Weakly Nonlinear ◽  
Direct Integration Method

<p>An open ocean often has a wind driven shear-current near the surface that is able to significantly change the properties of surface waves. This work aims to investigate the effects of a vertically sheared background flow on weakly nonlinear waves with both a statistical study for irregular random waves and a deterministic study for a wave group.</p><p>We first extended the theory by Dalzell (1999) to allow for the effects of a horizontal background flow with arbitrary depth dependence. The extended theory is valid up to second order in wave steepness and is applicable for directional-spread waves of a broad bandwidth. The Direct Integration Method (Li & Ellingsen 2019) is used for the linear dispersion relation.</p><p>Using the theory, we examine the effects of an opposing and assisting shear, respectively, on the nonlinear properties of a short wave group on deep-water through comparisons to cases without a shear flow. A shear flow leads to wave crests (troughs) being either steepened or flattened, depending mainly on the direction of a shear relative to the propagation direction of the group and the strength of the depth-integrated velocity of a shear relative to the group velocity. We, furthermore, investigated skewness and kurtosis of a time record of the wave elevation for irregular waves in a background sheared flow, compared to a linear Gaussian random sea for surface waves only. We obtained the probability density function and exceedance probability for wave crests. Relevance for rogue wave formation is discussed.</p><p><strong>Key words</strong>: waves/free-surface flow, ocean surface waves, wave-current interaction</p><p> </p><p>References</p><p>Dalzell, J. F. "A note on finite depth second-order wave–wave interactions." Applied Ocean Research 21, no. 3 (1999): 105-111.</p><p>Li, Y., and Ellingsen, S. Å. "A framework for modeling linear surface waves on shear currents in slowly varying waters." Journal of Geophysical Research: Oceans 124, no. 4 (2019): 2527-2545.  </p>

Pulsed discharges produced by surface waves

1998 ◽  
Vol 08 (PR7) ◽  
pp. Pr7-317-Pr7-326 ◽  
Author(s):  
O. A. Ivanov ◽  
A. M. Gorbachev ◽  
V. A. Koldanov ◽  
A. L. Kolisko ◽  
A. L. Vikharev
Keyword(s):  
Surface Waves ◽  
Pulsed Discharges
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