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Re: Longitudinal Forces in Tesla Coil Metallic Conductors



Original poster: Bert Hickman <bert.hickman@xxxxxxxxxx>

Peter,

I agree - at least for exploding coils.

However, things become quite a bit more interesting when you use higher voltages, shorter pulses, and straight wires. In one experiment, Peter Graneau suspended a freely hanging straight 1.2mm x 100 cm aluminum wire. He then discharged an 8 uF 100 kV capacitor bank through small spark gaps at each end of the suspended wire. A variable high voltage inductor (0-2000 uH, nominally 1000 uH) was inserted into the current path to control peak current to 5-6 kA. The capacitor bank was switched through the suspended wire and gaps using a mechanical HV switch.

When a bank voltage above 60 kV was used, brittle fracture of the wire was observed. This was NOT the stretching and necking ("sausage" or "kink" instabilities) that we often see during coin shrinking. These were brittle fractures - the wire seems to have simply shattered. There is little doubt that substantial tensile forces are at work, but their cause has been the subject of considerable debate.

A paper that describes Graneau's experiment and analysis can be found here:

Graneau, Peter, "AMPERE TENSION IN ELECTRIC CONDUCTORS", IEEE Transactions on Magnetics, Volume 20, Issue 2, Mar 1984, Pages 444 - 455

Similar discussions appear in two of Graneau's books ("Newtonian Electrodynamics" and "Ampere-Neumann Electrodynamics of Metals") mentioned in my earlier post.

Similar behavior was seen in exploded copper wires by an earlier researcher working on the behavior of electrical fuses in volume 3 of the Exploding Wires series of books by Chace:

J. Nasilowski, "Unduloids and striated disintegration of wires,", Exploding Wires. New York: Plenum, 1964, volume 3, pp. 295-313.

Although Graneau favors Ampere longitudinal forces as the explanation, a number of later researches lean towards skin effect and flexural vibrations as being responsible:

Wall, D.P.; Allen, J.E.; Molokov, S.; Lukyanov, A., "The fragmentation of wires due to pulsed currents: influence of the skin effect", Pulsed Power 2000 (Digest No. 2000/053), IEE Symposium, 2000

Lukyanov, A.; Molokov, S., "Why high pulsed currents shatter metal wires?", Pulsed Power Plasma Science, 2001. PPPS-2001. Digest of Technical Papers, Volume 2, 2001

A. Lukyanov, S. Molokov, "Do we need to recourse to Ampere-Neumann electrodynamics to explain wire fragmentation in the solid state?", see:
http://arxiv.org/pdf/physics/0012029

As with overcoupling and racing sparks, the final chapter on wire fragmentation may not have been written as yet... :^)

Bert

Tesla list wrote:

Original poster: "Peter Terren" <pterren@xxxxxxxxxxxx>
I have the pleasure of exploding a few wires and also have a wire collection from my 16kJ cap bank. I did a test fire of a can crush with fine wire (.024inch) in a plastic tube to see if the resulting plasma channel was sufficient to give a crushing current. Experimental setup is here.
http://tesladownunder.com/Pulse_Power.htm#Can%20crusher%204
The net result at 4 kJ was slight denting of the can (perhaps equivalent to 500J worth) with no remaining charge on the cap. So the plasma held until the cap emptied but did not allow a high enough peak current compared to the wire. I did not control for the reduced physical strength of the plastic tubing compared to the wire however. With the heavy wire, the can is torn in three pieces in that setup. I don't really see why new physics is suggested by this. The radially expanding wire with a uniform force will bring out inhomogeneities in the wire and magnify them into physical rupture points. (in a way somewhat analagous to the Big Bang giving microwave background irregulatities, but that would really imply some new physics...).
Peter

Hi Bert,
I got a batch of your shrunken quarters years ago and I requested to get the "wire fragments too" ;-))) "Normal" people get a kick out of the coins, but "I" got the wires too since that is what is "really cool" :o)) ........ There are inertial and explosive forces that tend to bend the wire up too along with impacts to the containment walls... The wire fails in weak areas that become dominate fracture areas. I suspect plasmas became conductors as the system ripped apart too.........
Cheers,
        Terry