Re: Strange shape-what is mathematics behind it?



On Jan 19, 4:04 am, "Jim Black" <trams...@xxxxxxxxx> wrote:
Jim Black wrote:
ivars.fabrici...@xxxxxxxxx wrote:
Cut the pipe radially at some place so that cut is a perfect circle.
Hold one end motionless. Twist another by 180 degrees. Glue back to the
other end.

Must get a spiral shape .It You turn enough many times, You get double
helix running around in circle. But let us start with 180 degrees. k=1.

What is also of interest, what is the radius of such a shape? How do
You define it?

So where do I have to look for a formula how the radius of such a thing
is defined, and how does it depend on R ( of the initial circle), r (
of pipe) , pi, e, k - number of twists, elasticity of volume,
elasticity of surface?

What is the shape of suface waves?

I'm having a hard time following your description. Do you have a
picture you can put on the web and post a link to?Never mind, I see it now. Not sure what the answer to your question
is, though.- Hide quoted text -- Show quoted text -

These are good references, but so far they fall short of what I was
looking for:

I am looking for a flexible pipe with liquid inside. This pipe then
gets twisted. I doubt that conditions of inextensibility and
unshearability hold in this case. I think criticality parameter formula
may hold in some form, but:

As there is liquid inside, it is possible that at very high viscosity
friction forces can not be neglected.
As the pipe is flexible, most likely even garden hose gets extended
slightly if liquid inside is relatively incompressible.

I am looking forward to more reference suggestions. Someone must have
tackled the problem already, at least formulated it.

I will continue to search among references given, but if someone can
provide a shortcut, I would appreciate that a lot.

.

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