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#1
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In article ,
Stephen Baker wrote: "THe energy associated with the transverse wave system travels at the "group velocity" of the waves, which equals one-half of the phase velocity in deep water. The propulsion system of the ship must therefore put additional energy into the wave syste, to replace that which "falls behind". A nominal relationship between ship speed and the length of the corresponding transverse wave may be found by equating the ship velocity with the _celerity_ (phase velocity) of a small-amplitude gravity wave in deep water, Vship = Cwave = sqrt( g.Lw/(2.pi)) = 2.26 sqrt(Lw) Yes, this is the formula. But what I'm interested in is the theory it's based on - the general theory of waves in fluids, of which small-amplitude deep-water surface waves are one particular case. Thank you, Sakari Aaltonen |
#2
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Sakari says:
Yes, this is the formula. But what I'm interested in is the theory it's based on - the general theory of waves in fluids, of which small-amplitude deep-water surface waves are one particular case. What you need is not a discussion on the hull-speed theory, but a degree in fluid dynamics. ;-) Seriously, however, this is what you need to read, although you may need more background first. http://www.amazon.com/exec/obidos/tg...=1058555603/sr =1-6/ref=sr_1_6/002-5456679-7453635?v=glance&s=books Steve "application not theory" Baker Stephen C. Baker - Yacht Designer http://members.aol.com/SailDesign/pr...cbweb/home.htm |
#3
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In article ,
Stephen Baker wrote: Seriously, however, this is what you need to read, although you may need more background first. http://www.amazon.com/exec/obidos/tg...=1058555603/sr =1-6/ref=sr_1_6/002-5456679-7453635?v=glance&s=books Lighthill, James: "Waves in fluids"? Yes, our library has several copies. However, I happened to pick up "Mathematical theory of wave motion" by G.R. Baldock and T. Bridgeman; it might be just enough. But I'm leaving for a three-week sailing vacation on Sunday, and shall, for some time, be concentrating on real waves instead of theoretical ones. Sakari Aaltonen |
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