scholarly journals Numerical Simulation for Two-Dimensional Surface Wave Structure of a Vertical Liquid Falling Film

2006 ◽  
Vol 72 (719) ◽  
pp. 1652-1658
Author(s):  
Chiaki KINO ◽  
Tomoaki KUNUGI ◽  
Akimi SERIZAWA
Keyword(s):  
Numerical Simulation ◽  
Surface Wave ◽  
Wave Structure ◽  
Falling Film ◽  
Two Dimensional ◽  
Dimensional Surface

scholarly journals Scanning ultrafast Sagnac interferometry for imaging two-dimensional surface wave propagation

2006 ◽  
Vol 77 (4) ◽  
pp. 043713 ◽  
Author(s):  
Takehiro Tachizaki ◽  
Toshihiro Muroya ◽  
Osamu Matsuda ◽  
Yoshihiro Sugawara ◽  
David H. Hurley ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Two Dimensional ◽  
Surface Wave Propagation ◽  
Sagnac Interferometry ◽  
Dimensional Surface

A note on the total reflexion or transmission of surface waves in the presence of parallel obstacles

1975 ◽  
Vol 67 (3) ◽  
pp. 465-472 ◽  
Author(s):  
D. V. Evans
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Water Wave ◽  
Wave Theory ◽  
Two Dimensional ◽  
Total Transmission ◽  
Vertical Barriers ◽  
Total Reflexion ◽  
Dimensional Surface

It is shown how a two-dimensional surface wave can be either totally reflected or totally transmitted in the presence of two parallel vertical barriers each containing a small gap. Total transmission of a surface wave past obstacles has been known to occur in many situations in water-wave theory, but total reflexion is a comparatively new phenomenon which could be of practical use in the design of breakwaters.

Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems

2012 ◽  
Vol 44 (6) ◽  
pp. 4195-4221 ◽  
Author(s):  
Felipe Linares ◽  
Didier Pilod ◽  
Jean-Claude Saut
Keyword(s):  
Surface Wave ◽  
Well Posedness ◽  
Two Dimensional ◽  
Boussinesq Systems ◽  
Dimensional Surface

Secondary and tertiary excitation of three-dimensional patterns on a falling film

1994 ◽  
Vol 270 ◽  
pp. 251-276 ◽  
Author(s):  
H.-C. Chang ◽  
M. Cheng ◽  
E. A. Demekhin ◽  
D. I. Kopelevich
Keyword(s):  
Solitary Wave ◽  
Three Dimensional ◽  
Wave Structure ◽  
Stationary Wave ◽  
Wave Crest ◽  
Checkerboard Pattern ◽  
Secondary Transition ◽  
Falling Film ◽  
Two Dimensional ◽  
Primary Instability

The primary instability of a falling film selectively amplifies two-dimensional noise down-stream over three-dimensional modes with transverse variation. If the initial three-dimensional noise is weak or if it has short wavelengths such that they are effectively damped by the capillary mechanism of the primary instability, our earlier study (Chang et al. 1993a) showed that the primary instability leads to a weakly nonlinear, nearly sinusoidal γ1 stationary wave which then undergoes a secondary transition to a strongly nonlinear γ2 wave with a solitary wave structure. We show here that the primary transition remains in the presence of significant three-dimensional noise but the secondary transition can be replaced by a selective excitation of oblique triad waves which can even include stable primary disturbances. The resulting secondary checkerboard pattern is associated with a subharmonic mode in the streamwise direction. If the initial transverse noise level is low, a secondary transition to a two-dimensional γ2 solitary wave is followed by a tertiary ‘phase instability’ dominated by transverse wave crest modulations.

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