scholarly journals Surface water waves due to an oscillatory wavemaker in the presence of surface tension

1992 ◽  
Vol 15 (2) ◽  
pp. 399-404
Author(s):  
B. N. Mandal ◽  
S. Banerjea
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Surface Water ◽  
Water Waves ◽  
Phase Method ◽  
Stationary Phase Method ◽  
Transient Component ◽  
Surface Water Waves ◽  
Qualitative Nature ◽  
Surface Depression

The initial value problem of generation of surface water waves by a harmonically oscillating plane vertical wavemaker in an infinite incompressible fluid under the action of gravity and surface tension is investigated. In the asymptotic evaluation of the free surface depression for large time and distance, the contribution to the integral by stationary phase method gives rise to transient component of the free surface depression while the contribution from the poles give rise to steady state component. It is observed that the presence of surface tension sometimes changes the qualitative nature of the transient component of free surface depression.

scholarly journals An absorbing boundary condition for free surface water waves

2017 ◽  
Vol 156 ◽  
pp. 562-578 ◽  
Author(s):  
B. Düz ◽  
M.J.A. Borsboom ◽  
A.E.P. Veldman ◽  
P.R. Wellens ◽  
R.H.M. Huijsmans
Keyword(s):  
Boundary Condition ◽  
Free Surface ◽  
Surface Water ◽  
Water Waves ◽  
Absorbing Boundary Condition ◽  
Absorbing Boundary ◽  
Surface Water Waves

Imaging surface water waves for the determination of surface tension and spatial attenuation

2014 ◽  
Vol 92 (2) ◽  
pp. 141-144 ◽  
Author(s):  
T. Eadkhong ◽  
S. Danworaphong
Keyword(s):  
Surface Tension ◽  
Surface Water ◽  
Water Waves ◽  
Tap Water ◽  
Capillary Rise ◽  
Digital Camera ◽  
Function Generator ◽  
Attenuation Coefficients ◽  
Analysis Technique ◽  
Surface Water Waves

We propose the use of the image analysis technique to determine the surface tension of water and the attenuation coefficients of surface water waves in terms of frequency. Tap water from two different locations is used in our experiments. Water waves are continuously generated at various frequencies in a ripple tank by a plastic blade driven by a function generator. Images of the water waves are then captured by a digital camera and analyzed by using Tracker. As a result, we obtain the surface tension of water at 25 °C from both locations that are in good agreement with those resulting from the capillary rise technique. In addition, a linear relationship between the attenuation coefficient of the water waves and driven frequencies, ranging from 40 to 90 Hz, can be observed. Our results indicate that the greater the surface tension the longer distance the water wave takes before its amplitude decreases to 1/e of its original value. This work brings forward a relatively simple technique that can be applied to determine the surface tension and attenuation coefficients of surface water waves in a ripple tank with notable results.

Numerical Study for Water Waves Generated by Debris Flow

2013 ◽  
Vol 671-674 ◽  
pp. 388-392
Author(s):  
Rui Jin Zhang ◽  
Hong Yue Sun ◽  
Hong Zhan Zhang ◽  
Hosoyamada Tokuzo
Keyword(s):  
Free Surface ◽  
Surface Water ◽  
Debris Flow ◽  
Water Waves ◽  
Water Wave ◽  
Numerical Study ◽  
Human Life ◽  
Shallow Water Approximation ◽  
Surface Water Waves ◽  
Run Up

Earthquake or rainfall can arouse landslide, which will cause debris flow. Free surface water waves generated by plunging of debris flow cause devastating damage on human life. In this study, a numerical scheme for debris flow and free surface water wave was developed based on shallow water approximation, in which the interaction between these two flows was included newly. Generation of waves by plunging of debris flow is highly non-linear phenomena. Original CIP method and first order up-wind scheme mixed with second order central derivative scheme were adopted to simulate collision of two initially separated fluids (debris flow and still water). Six cases have been adopted to simulate the generation, propagation and run-up of water waves generated by debris flow. The time series of these two flows for these six calculating cases show the interaction of these two flows. Numerical results for interaction of debris flow and generated water wave are quite satisfactory and reasonable.

scholarly journals Analyticity of periodic traveling free surface water waves with vorticity

2011 ◽  
Vol 173 (1) ◽  
pp. 559-568 ◽  
Author(s):  
Adrian Constantin ◽  
Joachim Escher
Keyword(s):  
Free Surface ◽  
Surface Water ◽  
Water Waves ◽  
Surface Water Waves
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