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From: Dave Uebele <daveu_at_sptddog.com>
subject: [Paddlewise] wetted surface and spheres
Date: Thu, 17 May 2001 10:42:05 -0700
I recall seeing a comment awhile back about a spherical boat
having the minimum wetted surface.  Something about that statement
bothered me, its been bouncing around in the back of my head.

A sphere has the minimum surface for a given volume, that is true,
However if you add the constraint not of fixed volume, but fixed
length at waterline, a sphere no longer is the ideal minimum wetted
surface shape.

Think of soap films on various wire shapes, they tend toward minimum
surface as stretched between shapes.  So for a defined length, keel line
and top line, you'll get a single film stretch between this outline.
Not very practical as a boat, no volume, no displacement...

Ok, so you start adding other wire shapes to separate the single film into 
two films so you get some volume into the kayak.   So you start
getting two films that flare out to meet the new wires added to achieve
the desired beam at various points along the length of the kayak.
a skin on frame shape.   Hmm

So, figure the length you want, and enough volume to fit a human and cargo
in, haven't I just defined a skin on frame kayak shape?  The shape of the
outer
elements, ribs, keel, stringers is defined by the builder, and if done
properly,
the skin is tensioned to provide the minimal wetted surface as constrained
by the framework....

dave

-- 
Dave Uebele (daveu_at_sptddog.com)  Spotted Dog Systems
http://sptddog.com/daveu.html
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From: Robert Livingston & Pam Martin <bearboat2_at_home.com>
subject: Re: [Paddlewise] wetted surface and spheres
Date: Thu, 17 May 2001 19:13:41 -0700
On 5/17/01 10:42 AM, "Dave Uebele" <daveu_at_sptddog.com> wrote:

> The shape of the
> outer
> elements, ribs, keel, stringers is defined by the builder


There is the rub. What is the shape of the ribs going to be for minimum
wetted surface? The soap film going from rib to rib is easy. It will be
essentially a "straight" line. The more complicated question is what is the
rib shape going to be.

In the absence of other constraints the rib shape will be a hemisphere but
generally there are other constraints.

----------

For those that are interested, there is a program for designing kayaks on
the marinerkayaks web page that will mathematically create the minimum
wetted surface kayak within imposed restraints. The documentation for that
program discusses these issues.


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