Solitary stokes waves in heavy-fluid slit flow

1992 ◽  
Vol 26 (6) ◽  
pp. 935-937
Author(s):  
�. L. Amromin ◽  
V. A. Bushkovskii ◽  
D. Yu. Sadovnikov
Keyword(s):  
Heavy Fluid ◽  
Slit Flow ◽  
Stokes Waves

scholarly journals An experimental investigation of convection in a fluid that exhibits phase change

1981 ◽  
Vol 102 ◽  
pp. 85-100 ◽  
Author(s):  
D. E. Fitzjarrald
Keyword(s):  
Thin Layer ◽  
Phase Change ◽  
Latent Heat ◽  
Thermal Gradient ◽  
Lower Boundary ◽  
Working Fluid ◽  
Heavy Fluid ◽  
Convective Motions ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Convection flows have been systematically observed in a layer of fluid between two isothermal horizontal boundaries. The working fluid was a nematic liquid crystal, which exhibits a liquid–liquid phase change at which latent heat is released and the density changed. In addition to ordinary Rayleigh–Bénard convection when either phase is present alone, there exist two distinct types of convective motions initiated by the unstable density difference. When a thin layer of heavy fluid is present near the top boundary, hexagons with downgoing centres exist with no imposed thermal gradient. When a thin layer of light fluid is brought on near the lower boundary, the hexagons have upshooting centres. In both cases, the motions are kept going once they are initiated by the instability due to release of latent heat. Relation of the results to applicable theories is discussed.

On the modulation of water waves on shear flows

1976 ◽  
Vol 347 (1651) ◽  
pp. 537-546 ◽  
Keyword(s):  
Water Waves ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Vries Equation ◽  
Harmonic Wave ◽  
Short Wave ◽  
Long Wave ◽  
Stokes Waves ◽  
The Stability ◽  
Wave Limit

The method of multiple scales is used to examine the slow modulation of a harmonic wave moving over the surface of a two dimensional channel. The flow is assumed inviscid and incompressible, but the basic flow takes the form of an arbitrary shear. The appropriate nonlinear Schrödinger equation is derived with coefficients that depend, in a complicated way, on the shear. It is shown that this equation agrees with previous work for the case of no shear; it also agrees in the long wave limit with the appropriate short wave limit of the Korteweg-de Vries equation, the shear being arbitrary. Finally, it is remarked that the stability of Stokes waves over any shear can be examined by using the results derived here.

An interface problem with a source and a sink in the heavy fluid

1969 ◽  
Vol 8 (2) ◽  
pp. 197-206 ◽  
Author(s):  
A. Verruijt
Keyword(s):  
Interface Problem ◽  
Heavy Fluid

Hybrid Euler/Direct Simulation Monte Carlo Calculation of Unsteady Slit Flow

2000 ◽  
Vol 37 (6) ◽  
pp. 753-760 ◽  
Author(s):  
Roberto Roveda ◽  
David B. Goldstein ◽  
Philip L. Varghese
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Calculation ◽  
Direct Simulation Monte Carlo ◽  
Direct Simulation ◽  
Slit Flow ◽  
Simulation Monte Carlo

scholarly journals Bifurcation Mechanism for Generation of Random Deep-Water Stokes Waves.

2000 ◽  
pp. 27-36
Author(s):  
Kiyohiro IKEDA ◽  
Nobuhito MORI ◽  
Takashi YASUDA
Keyword(s):  
Deep Water ◽  
Bifurcation Mechanism ◽  
Stokes Waves

Stability of periodic waves in shallow water

1974 ◽  
Vol 66 (1) ◽  
pp. 81-96 ◽  
Author(s):  
P. J. Bryant
Keyword(s):  
Shallow Water ◽  
Wave Train ◽  
Periodic Wave ◽  
Fundamental Wave ◽  
Cnoidal Waves ◽  
Margin Of Stability ◽  
Fundamental Wavelength ◽  
Stokes Waves ◽  
Wave Trains ◽  
Permanent Shape

Waves of small but finite amplitude in shallow water can occur as periodic wave trains of permanent shape in two known forms, either as Stokes waves for the shorter wavelengths or as cnoidal waves for the longer wavelengths. Calculations are made here of the periodic wave trains of permanent shape which span uniformly the range of increasing wavelength from Stokes waves to cnoidal waves and beyond. The present investigation is concerned with the stability of such permanent waves to periodic disturbances of greater or equal wavelength travelling in the same direction. The waves are found to be stable to infinitesimal and to small but finite disturbances of wavelength greater than the fundamental, the margin of stability decreasing either as the fundamental wave becomes more nonlinear (i.e. contains more harmonics), or as the wavelength of the periodic disturbance becomes large compared with the fundamental wavelength. The decreasing margin of stability is associated with an increasing loss of spatial periodicity of the wave train, to the extent that small but finite disturbances can cause a form of interaction between consecutive crests of the disturbed wave train. In such a case, a small but finite disturbance of wavelength n times the fundamental wavelength converts the wave train into n interacting wave trains. The amplitude of the disturbance subharmonic is then nearly periodic, the time scale being the time taken for repetitions of the pattern of interactions. When the disturbance is of the same wavelength as the permanent wave, the wave is found to be neutrally stable both to infinitesimal and to small but finite disturbances.

The Sub-Harmonic Bifurcation of Stokes Waves

2000 ◽  
Vol 152 (3) ◽  
pp. 241-271 ◽  
Author(s):  
B. Buffoni ◽  
E. N. Dancer ◽  
J. F. Toland
Keyword(s):  
Stokes Waves
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