#10733
Joseph Chikva
Participant

Here in this thread one of my posts is lost. I do not understand how. Or why?
As jamesr said:

Also, if your two beams had a deltaE of 30keV this would be the approximate temperature they relax to. Given your ridiculously high estimate of density of 10^23m^-3 this would equate to a pressure of 4.7*10^8 Pa or 4700 atmospheres. I’ll leave you to figure out the magnetic field you need to contain that at a beta of less than 1.

On which I have answered:

Mentioning your pressure estimation 4.7*10^8 Pa except number density you should also know temperature as well. And you do not. At least I did not say yet. Recall that Ohmic heating of plasma is more effective at low collision energies and less effective at high. And we initially will have high collision energy that should then be kept comparatively constant thanks to externally applied electric field.

then asking:

We will have 444’000 Amperes of circulated current and combined beam’s diameter about 5mm. Before calculating of kinetic pressure can we calculate mag field yet? And its pressure?

And as unfortunately I could not get an answer I answered myself:

Current of 444’000 Amperes with diameter 5mm produces about 17T mag field at its surface. This corresponds to ~1.15*10^8 Pa of mag pressure. This is about 3 times less than estimated by Mr. jamesr kinetic pressure. But Mr. jamesr probably assumes the temperature of combined beam has an order of center-of-mass collision energy (30keV). That will not be so. As nobody in the world could achieve the temperature in Z-pinch or TOKAMAK via only Ohmic heating more than fraction of 1keV (30 times less than 30keV) even running on much higher scattering cross sections and, so, much higher intensity of thermalization. And, so, [em]my estimation of achievable number density of 1E23-1E24m^-3 should be realistic[/em].