Art Carlson wrote:D Tibbets wrote:Assuming that the power density advantage (~60,000) is anywhere close, ...
Remind me again where this number comes from. I would have said, given the same fuel, and the same magnetic field strength, the power density scales with beta^2. Taking the beta of a tokamak reactor to be 10% (I think it is expected to be higher, but I couldn't find a solid reference right off) and the beta of a polywell reactor to be 100%, that gives polywell a respectable factor of 100 advnatage, but not 60,000.
I had to dig, but I finally foud the R. Nebel post about the power density that I based my post on.
rnebel wrote:JMC and MSimon:
Actually, you need to click on “read more” under the design section, then “main parameters” then on the “more” button. What you will find is that the average density of ITER is ~ 1.0e20/m**3. If you use the formula I sent you for the Polywell, you will get a density ~ 2.5e22/m**3. The upshot of this is that the Polywell has a power density that is ~ 62500 times bigger than ITER EVEN IF THERE IS NO ION CONVERGENCE! Thus, a Polywell should far outperform a Tokamak even with a constant density Maxwellian plasma. Even if Rider and Nevins were correct (which Chacon has pretty clearly shown they aren’t) this isn’t a show stopper. It has a lot more significance for Hirsch/Farnsworth machines that have low average densities than it does for the Polywell.
The best analogy that I can think of is that the wiffleball mode is the jet engine and the ion convergence is the afterburner. The 2.5e22/m**3 density is what the Polywell should have on the edge, and then it hopefully goes up a few orders of magnitude as it goes into the interior. I don’t mean to imply that ion convergence isn’t important. This power density boost is what enables the Polywell to be built in small attractive unit sizes and to easily use advanced fuels.
However, the wiffleball mode is essential and the ion convergence simply makes things better. If we can’t get the wiffleball, then we can kiss our behinds goodbye. That’s why we are focused on achieving the wiffleball and we aren’t paying any attention to Rider and Nevins. They’re just a distraction. Does this kind of make sense?
And the formula given earlier in the thread:
rnebel
Posted: Wed Apr 30, 2008 12:23 pm Post subject:
"to JMC:
Since you are worried about Rider, let me suggest the following exercise. Let's assume that a Polywell reactor is in the wiffleball mode, namely that:
n*kBolt*Te = B**2/(2*mu0)
to make it simple, let's use mks units and assume B = 10 Tesla, mu0 =4.0e-7*pi, Te = 1.0e4 eV and kBolt = 1.6022e-19 Joules per eV.
Calculate what n is and compare it to the ITER value at
http://www.iter.org/a/index_nav_4.htm
"
Dan Tibbets
To error is human... and I'm very human.