Elliptical motion of surface buoy.

In summary, the conversation revolves around finding a simple model for the elliptical motion of a buoy on surface gravity waves. The suggested starting point is a website on wave demonstrations, followed by a book by Segel on surface waves. Other resources mentioned include books on continuum mechanics and interfacial transport phenomena. Finally, the recommended standard reference for water waves is "Water Waves" by J J Stoker.
  • #1
mathfeel
181
1
Failed at Googling. Can anyone point me to a simple model derivation on elliptical motion of a buoy on surface gravity wave?
 
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  • #2
A place to start may be here:

http://web.ics.purdue.edu/~braile/edumod/waves/WaveDemo.htm

There are at least two types of surface waves: Rayleigh and Love. Advected motion for a Rayleigh wave is elliptical.

Hang on... I failed to realize how complex the problem is. Segel's "mathematics applied to continuum mechanics" has *several* chapters on surface waves, and apparently draws a distinction between Rayleigh/Love waves (surface waves that exist in an *elastic* medium) and surface waves that propagate in a fluid. Slattery's "Interfacial transport phenomena" has an impenetrable section at the end... ugh.

I would start with the website, and if that's unsatisfactory, go to Segel's book (it's excellent), or alternatively, if you find a decent book or paper devoted to wave motion:

https://www.amazon.com/dp/9812389490/?tag=pfamazon01-20
http://www.ams.org/journals/bull/2007-44-03/S0273-0979-07-01159-7/home.html
http://iopscience.iop.org/0951-7715/21/5/012/
http://aimsciences.org/journals/pdfs.jsp?paperID=6943&mode=full

Good luck...
 
  • #3
"Water Waves" by J J Stoker is the standard reference. You can find it online here.
 
  • #4
Bill_K said:
"Water Waves" by J J Stoker is the standard reference. You can find it online here.

Fantastic- thanks!
 
  • #5
Sure enough- the results are found on page 41 of Stoker's book (eqn. 3.1.20), which also has a a set of images taken from the literature clearly showing the motion.
 

What is an elliptical motion of surface buoy?

An elliptical motion of surface buoy refers to the movement of a buoy on the surface of water in an elliptical path. This motion is caused by the combination of wind, waves, and currents.

How is the elliptical motion of surface buoy measured?

The elliptical motion of surface buoy can be measured using instruments such as accelerometers, gyroscopes, and GPS. These instruments can track the buoy's movements and provide data on its speed, direction, and acceleration.

What factors affect the elliptical motion of surface buoy?

The elliptical motion of surface buoy is affected by several factors, including wind speed and direction, wave height and direction, water currents, and the buoy's design and weight. These factors can change the buoy's direction, speed, and amplitude of motion.

Why is it important to study the elliptical motion of surface buoy?

Studying the elliptical motion of surface buoy is important for understanding how buoys behave in different environmental conditions. This information can help improve the design and placement of buoys, as well as aid in predicting their movements for navigation and ocean research purposes.

What are the applications of the elliptical motion of surface buoy?

The elliptical motion of surface buoy has various applications, including ocean and weather monitoring, navigation, and marine research. Buoys can also be used for data collection and transmission, such as measuring water temperature, salinity, and wave characteristics.

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