Re: [Paddlewise] RE:wave stuff

From: John Winters <735769_at_ican.net>
Date: Sun, 8 Oct 2000 10:16:32 -0400
Robert wrote:

>
> I imagine this angle is related to viscosity or how much molecules of a
> particular substance are attracted to each other (I can't remember the
> word for this, cohesion?). If I were paddling in mercurey would the
> angle be more obtuse and in gasoline more acute?
>

I searched could find nothing about the effect of viscosity. Perhaps because
when Lord Kelvin proposed the theory of wave patterns he did not think about
bodies moving through anything but water. I don't know that since I have not
read his paper but, like Matt, I could not find anything that says
otherwise..

Anyway I did find some interesting stuff. For example the angle 19 degrees
28 minutes (half angle not full angle. For some reason naval architecture
books seem to prefer half angle over full angle) does not seem absolute. For
example, Commander Hovgaard presented a paper to the Society of Naval
Architects  in 1909 reporting that observations of full size ships showed
angles between 16 degrees and 19 degrees. On one Danish torpedo boat he
observed an angle of 11 degrees. His observations in the David Taylor model
basin showed even smaller values particularly at high speeds. (non-planing
craft and no reference to what "high" meant.

Admiral Taylor attributes the difference to the forces being distributed
over the entire boat rather than a single pressure point. Nevertheless he
also says that the Kelvin wave patterns agree "reasonably well" with
practical results.

Gilmer (professor at the U.S. Naval Naval Academy) writes that the 19 degree
28 minute angle applies to a thin body or pressure point moving in a
straight line through the water. So the hull shape seems to affect the
angle. This ideal condition does not seem to take into consideration the
stern wave that boats develop.

Apparently Kelvin's paper contains mountains of complex mathematics to
arrive at his conclusions. That discourages me from trying to obtain the
paper and report on its contents. :-)

Sorry to bore everyone but I found it interesting. %0

Cheers,

John Winters
Web site address http://home.ican.net/~735769







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Received on Sun Oct 08 2000 - 09:47:36 PDT

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