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Elliptical motion of surface buoy.

  1. Feb 15, 2012 #1
    Failed at Googling. Can anyone point me to a simple model derivation on elliptical motion of a buoy on surface gravity wave?
     
  2. jcsd
  3. Feb 16, 2012 #2

    Andy Resnick

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    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/Water-Waves-Advances-Coastal-Engineering/dp/9812389490
    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....
     
  4. Feb 16, 2012 #3

    Bill_K

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    "Water Waves" by J J Stoker is the standard reference. You can find it online here.
     
  5. Feb 16, 2012 #4

    Andy Resnick

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    Fantastic- thanks!
     
  6. Feb 18, 2012 #5

    Andy Resnick

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    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.
     
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