scholarly journals Controllability and stabilization of gravity-capillary surface water waves in a basin

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jing Cui ◽  
Guangyue Gao ◽  
Shu-Ming Sun
Keyword(s):  
Surface Tension ◽  
Surface Water ◽  
Surface Waves ◽  
Water Waves ◽  
Contact Point ◽  
Edge Condition ◽  
Solid Boundary ◽  
Static Feedback ◽  
Surface Water Waves ◽  
Wave Maker

<p style='text-indent:20px;'>The paper concerns the controllability and stabilization of surface water waves in a two-dimensional rectangular basin under the forces of gravity and surface tension. The surface waves are generated by a wave-maker placed at the left side-boundary and it is physical relevant to see whether the surface waves are controllable or can be stabilized using appropriate motion of the wave-maker. Due to the surface tension, an edge condition must be imposed at the contact point between the free surface and a solid boundary. Two types of wave-makers are considered: "flexible" or "rigid". It is shown that the surface waves are approximately controllable, but not exactly controllable, for both "flexible" and "rigid" wave-makers. In addition, under a static feedback to control a "rigid" wave-maker, the strong stability of feedback control system is obtained.</p>

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 The effect of surface tension in porous wave maker problems

1998 ◽  
Vol 39 (4) ◽  
pp. 539-556 ◽  
Author(s):  
A. Chakrabarti ◽  
T. Sahoo
Keyword(s):  
Surface Tension ◽  
Water Waves ◽  
Eigenfunction Expansion ◽  
Mixed Type ◽  
Finite Depth ◽  
Time Harmonic ◽  
Surface Water Waves ◽  
Wave Maker ◽  
Porous Walls ◽  
Effect Of Surface

AbstractUsing a mixed-type Fourier transform of a general form in the case of water of infinite depth and the method of eigenfunction expansion in the case of water of finite depth, several boundary-value problems involving the propagation and scattering of time harmonic surface water waves by vertical porous walls have been fully investigated, taking into account the effect of surface tension also. Known results are recovered either directly or as particular cases of the general problems under consideration.

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.

scholarly journals Multiple stopbands and wavefield asymmetry of surface water waves in non-Bragg structures

AIP Advances ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 015215
Author(s):  
Joshua-Masinde Kundu ◽  
Ting Liu ◽  
Jia Tao ◽  
Jia-Yi Zhang ◽  
Ya-Xian Fan ◽  
...  
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Bragg Structures ◽  
Surface Water Waves

Defect modes in non-Bragg resonant structures for guided surface water waves

Wave Motion ◽  
2021 ◽  
pp. 102766
Author(s):  
Joshua-Masinde Kundu ◽  
Ting Liu ◽  
Jia Tao ◽  
Bo-Yang Ma ◽  
Jia-Yi Zhang ◽  
...  
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Defect Modes ◽  
Resonant Structures ◽  
Surface Water Waves

The Stochastic Parametric Mechanism for Growth of Wind-Driven Surface Water Waves

2008 ◽  
Vol 38 (4) ◽  
pp. 862-879 ◽  
Author(s):  
Brian F. Farrell ◽  
Petros J. Ioannou
Keyword(s):  
Surface Water ◽  
Growth Rates ◽  
Atmospheric Pressure ◽  
Water Waves ◽  
Wave Amplitude ◽  
Pressure Fluctuations ◽  
Theoretical Understanding ◽  
Wave Growth ◽  
Atmospheric Pressure Fluctuations ◽  
Surface Water Waves

Abstract Theoretical understanding of the growth of wind-driven surface water waves has been based on two distinct mechanisms: growth due to random atmospheric pressure fluctuations unrelated to wave amplitude and growth due to wave coherent atmospheric pressure fluctuations proportional to wave amplitude. Wave-independent random pressure forcing produces wave growth linear in time, while coherent forcing proportional to wave amplitude produces exponential growth. While observed wave development can be parameterized to fit these functional forms and despite broad agreement on the underlying physical process of momentum transfer from the atmospheric boundary layer shear flow to the water waves by atmospheric pressure fluctuations, quantitative agreement between theory and field observations of wave growth has proved elusive. Notably, wave growth rates are observed to exceed laminar instability predictions under gusty conditions. In this work, a mechanism is described that produces the observed enhancement of growth rates in gusty conditions while reducing to laminar instability growth rates as gustiness vanishes. This stochastic parametric instability mechanism is an example of the universal process of destabilization of nearly all time-dependent flows.

scholarly journals Surface water waves as saddle points of the energy

2003 ◽  
Vol 17 (2) ◽  
pp. 199-220 ◽  
Author(s):  
B. Buffoni ◽  
�. S�r� ◽  
J.F. Toland
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Saddle Points ◽  
Surface Water Waves

Numerical study of surface water waves generated by mass movement

2013 ◽  
Vol 45 (5) ◽  
pp. 055506 ◽  
Author(s):  
Belgacem Ghozlani ◽  
Zouhaier Hafsia ◽  
Khlifa Maalel
Keyword(s):  
Surface Water ◽  
Water Waves ◽  
Numerical Study ◽  
Mass Movement ◽  
Surface Water Waves
Sign in / Sign up

Export Citation Format

Share Document