How does wave velocity relate to water depth?

[deimos]

Hey, I need some help with finding information about shallow water waves. I am doing an A-level (i think that college level.. well its just below degree level) experiment compairing the velocity of a wave with its depth, and need some help finding background scientific information.
Everything i have seen so far as either been thesis material or speed=wavelength x frequency . So if anyone could help me i would be very greatful.

Thanks,
Matt

 

[holly]

Deimos, goodness knows I can't help you...but I am sure some of the brainy types will. I just wanted to thank you for the weird link, I am sure my son will love it!

P.S. I remember hearing something about solenils, or solenoids, or something like that, being a wave, like the kind kids make in the bathtub, that is a single, big wave, concerning velocity and depth. Good luck in your class.

 

[cookiemonster]

I'd hate to be the one to derive it, but how about this little equation?

Korteweg-de Vries Equation:
http://scienceworld.wolfram.com/physics/Korteweg-deVriesEquation.html

And a complementary entry from Mathworld:
http://mathworld.wolfram.com/Korteweg-deVriesEquation.html

cookiemonster

 

[holly]

I searched for OCEAN WAVES DEPTH VELOCITY on Google, and this site looks promising:
www.es.flinders.edu.au/~mattom/IntroOc/notes/lecture10.html

Just try to find it by Google if the link doesn't work. It talks of shallow waves & deep waves.

 

[deimos]

posted by cookiemonster
I'd hate to be the one to derive it

That makes 2 of us, but thanks for all your help. I found a really good site that has lost of useful http://intra.es.lancs.ac.uk:8080/gs/GEPH323/CW98/O_Barton/wave.htm
now all i have to do is to write up my coursework!

Thanks again,
Deimos