Bob Cain wrote in
:


What I find most strange is that with all the specialists
that had comments on all of this (other than in
sci.physics), the simple analysis I finally saw relating
flow velocity at a plane to particle velocity about it which
leads to the general, quantitative answer was never offered
by anyone else. Had it been, the issue could have been put
to bed much sooner.


There is no such thing as a problem that has only one method of solution.
Art Ludwig provided the analysis and the solution weeks ago, but you
rejected his analysis because you clearly couldn't understand it. You now
claim to have obtained the same result by different means. Even if your
sloppy, alternative analysis is correct, it adds nothing in the way of
understanding. It does however provide you with the personal gratification
that you did it yourself.....which is clearly what this has been about all
along.



The general, quantitative solution is as I've written it.
It is exact and can be applied to any physically realizable
signal. I will not drag this on any further unless there
are questions to answer (and until/unless I can come back
with a quantitative solution for a piston in a baffle.)
Bob

What do you mean by "flow velocity?" It's not discussed or defined in any
of my reference books on acoustics, and I have most if not all of them.
Define your terms........Sp'(t), Ra, Vd, etc. If you have a closed form
solution, present it.