Re: Water wave question..

Rock Brentwood wrote:
On Jul 3, 10:24 am, "Spaceman" <space...@xxxxxxxxxxxxxxxxxxxxxxxxxx>
wrote:
No,
It is complete now.
The answer is what is not complete yet.
Still waiting for the wavelength of first wave set created and wave
height of the second wave from the drop point.
:)

It's never complete. Even when it is, it's not.

A problem very similar to the one you're posing deals with the Navier-
Stokes equation -- it is still unresolved and is one of the Clay
foundations $1000000 prize problems.

This is fluid dynamics you're talking about, which is a HUGE area of
research these days. Water isn't just "plain old fashioned water".
It's a dynamic system with 10^25 - 10^30 degrees of freedom, depending
on the volume of the water. Fluid, unlike gases, are extremely
difficult to describe -- and there's whole chapters in standard texts
in statistical mechanics dedicated to dealing with the issue (and
entire books).

Also related is the study of solitons, which this problem involves.
That falls in the header of non-linear dynamics, which is another huge
area of research.

The "it's never complete" remark may, itself, be literally true. Fluid
models are powerful enough to encompass computation -- thereby
engulfing the Turing Machine -- and thus inheriting the Goedel
Incompleteness theorem and Halting Problem; and ultimately leading to
the result that fluid dynamics is fundamentally incomplete.

There's certainly not enough information to go on in your description
-- not without looking up a whole slew of empirical coefficients that
distinguish water from other fluids; and not without knowing the
details of the environment (what lies on the surface boundary with the
water: air, vacuum, other gas, solid; what pressure, if air; how deep
is the water; what's the temperature (e.g. under 32 F and there are no
appreciable waves and the sphere crashes into the water, so
temperature is obviously relevant; etc.)

Ok, so I will forget it then,
And silly me, I just re-looked at the ruler I used and it has
a nice little "blank spot before the 0 for the centimeters side.
so I am a moron and I admit it.
The ball was more like a 1.3 centimeter ball.
and the water could be more dense than "normal water" for all
I know since it is town water.
So, I guess I will give up on doing this silly ball thing.
since the measurements were out of line and I am an idiot for arguing
so much about them at all.
:)

--
James M Driscoll Jr
Spaceman



.

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