Some points from my understanding. The swiming pool analagy may fit a Tokamak that has macro instabilities- it sloshes alot. Therefor it may tolorate Betas of only ~ 0.1 Beta befor the sloshing becomes prohibative. Polyweelis advertized as not having instabilities, therfor no/ minimal sloshing. It can be filled to the top (Beta=1, before fluid starts leaking (not sloshing) over the top.Joseph Chikva wrote:I do not know from where you get such their statement.rcain wrote:........electron-ion 2-stream instability - dunno. but Jesus (sorry both Bussard AND Nebel) have estimated that if and when it does occur, it is not 'foreseen' to have a significant negative impact on overall performance. they were both 'aware' of and 'familiar' with the phenomenon and both judged it to be a 'lesser' concern (than many other open questions/issues).
they might be totally wrong.............
As that is totally wrong.
As mentioned I've seen paper of Dr. Nebel in which he states that electron-electron 2-stream is not issue for Polywell due to big angular velocity component of background electron spice.
Initially ions will not have big angular velocity component. So, at the expense of what instability damping will occur? I assume that this type of instability was not considered at all.
But I’ve seen also the statement of Dr. Nebel that scaling law is not legit for small size Polywell due to some factors. E.g. due degassing. I can weakly imagine what "degassing" is, but assume that may be scaling law does not work due to non-foreseen instabilities.
What is "degassing"?
Concerning possibility of beta to be equal to 1, I only can say that absolutely static case is considered in beta definition (ratio of plasma pressure and ma-field pressure). And plasma is dynamic system and not static. And really achievable number of beta is dependent on how energetic there dynamic processes. More intense instabilities cause less achievable number of beta. It's simple. Regardless to that what Drs. Bussard-Nebel said.
As for any restoring forces to reduce build up of angular momentum. It has not been widely discussed when "edge annealing" is presented. My take on this is because angular momentum increase is less of an issue than up scattering in terms of containment and possibly performance. If edge annealing controls up scatter, it will also control/ restore radial domanance of ion flow. Coulomb collisions near the center/ core will add little angular momentum as all directions are radial to the center in this quasi sphwrical machine. Velocity scattering will occur in the center, which may make up a large portion of all collisions , thus velocity scattering (including up scattering) will exceed angular momentum scattering, possibly by a large amount.
Edge annealing is the simple Coulomb scattering around a low energy level- eg: perhaps 10-100 eV average will reduce velocity scattering AND angular momentum scattering to the thermalized spread around that low energy. This compared to the potential well induced central / radial acceleration will reverse and /or significantly slow the thermalization issues in the mantle and core of the machine. Accepting that edge annealing occurs (which is basic physics) both the up scattering and angular momentum progression is slowed significantly.The real question in my mind is if these restoring forces can keep up once the density and energy and machine radius is to full scale machines. Issues of MFP in different parts of the machine, density , energy, and machine radius all enter into the equation. Also, as the density and energy increases the likelihood of the fuel ion consumption by fusion reactions places an upper limit on the ion lifetime and thus the available thermalization time that is significantly slowed by the restoring forces (edge annealing).
Other issues includes ions that penitrate beyond the Wiffleball border and enter the magnetic field dominate regions, they will gain angular momentum as they complete ~ 1/2 of a gyro radius or more, before scattering back into the Wiffleball space. Again annealing in this relative low ion energy range may help . Also, those ions that have managed to gain enough radial (and possibly to a lesser extent angular momentum velocities may completely escape the potential well, and upon entering a cusp, gain enough distance from the center that they are outside the magrid, and immediately are accelerated by the Magrid and hit the vessel wall.
This is useful as it places a hard ceiling on how much up scattering can occur and this is good from a thermalization perspective, It is bad from a energy confinement perspective, but as the electron losses are perhaps 10-100X higher, this loss is only a small consideration compared to the electron losses.
Thermalization issues for the electrons are a different matter. There is no edge annealing (is there any central electron annealing?). The only thing that I know of that might slow electron thermalization (up scattering) is that those electrons that are up scattered travel faster, complete a pass (orbit) faster and thus find and exit a cusp faster. This preferential loss of up scattered electrons (and their replacement with mono energetic injected virgin electrons) on a time basis would limit somewhat the development of the high energy thermal tail of the thermalization process. I have no idea how significant this process may be and it was one of the issues that has been discussed before. Tokamaks try to hold onto everything, Polywells are completely different. Up scattered ions or electrons will leave the machine faster (and there is the annealing restoring forcew on the ions). This non thermal poputaion of the plasma is one of the primary elements of the Polywell and has been stressed by Bussard repeatedly. MHD considerations and conclusions do not apply (at least without significant modifications) to the Polywell. I think that FRC efforts are also based on this dynamic difference compared to thermalized machnes. Dense plasma focus machines are I think thermal , so other considerations like efficient X-ray conversions are necessary for consideration of adequate Q's for greater than breakeven output with aneutronic fuels..
Out gassing is a common concern in vacuum work. Water and other embedded molecules are ejected from the surface materials , especially as the vacuum level drops below the vapor pressure of the embedded materials. Also, any energetic particles (electrons, ions, fast neutrals) will accelerate this process through sputtering. Out gassing is dependent on the surface area. As machine size increases the ratio of volume/ surface area increases and thus out gassing becomes less significant. That is why Nebel said that testing smaller machines than WB6 would be a step backwards, due to more relative out gassing concerns and lower signal to noise ratios.
Dan Tibbets