R^7 scaling only holds if you double the magnetic field every time you double the size.
Let us look at B^4 scaling. If we went from .15 T to 1.5 T that gives a power increase of 1E4. If you go from .3 m coil diameter to 3 m coil diameter you 1E3 power multiplication. total is 1E7 if you start at .1 w you are up to 1E6 w.
Increase reaction volume to 15 m on a side and you are up to 100E6 w.
Or increase the magnetic field to 5T would give you a 3 m 100E6 w reactor.
MgB is currently good to 20 T at 4 deg K. 5 T at higher temps (I'd have to look it up).
9 T at 20K has been reported. At 5 T the Jc should be higher allowing for fewer turns.
The real key isn't size. It is magnetic field.
WB-7 details?
Last edited by MSimon on Fri Jan 25, 2008 12:35 am, edited 1 time in total.
Engineering is the art of making what you want from what you can get at a profit.
Yeah, iirc Bussard was assuming that was the case. Of course, a stronger B field probably means a bigger machine, but I see your point: what's the most cost-effective combination of r^3 and B^4?MSimon wrote:R^7 scaling only holds if you double the magnetic field every time you double the size.
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The real key isn't size. It is magnetic field.
5 T at the center of a 3 m loop requires 25E6 Amp * turns.
http://hyperphysics.phy-astr.gsu.edu/hb ... urloo.html
Assume 4.2 deg K and 1E4 A/cm^2 (assuming ultimate Jc > 2E5 @ 5T and 4.2K allowing for fill factor of 10% and safety margin of 2X)
If the coil was square shaped it would be 50 cm on a side. i.e 20" American.
Now I may be low on the fill factor. A fill factor of 40% would give a coil 10" (25 cm) on a side.
http://hyperphysics.phy-astr.gsu.edu/hb ... urloo.html
Assume 4.2 deg K and 1E4 A/cm^2 (assuming ultimate Jc > 2E5 @ 5T and 4.2K allowing for fill factor of 10% and safety margin of 2X)
If the coil was square shaped it would be 50 cm on a side. i.e 20" American.
Now I may be low on the fill factor. A fill factor of 40% would give a coil 10" (25 cm) on a side.
Engineering is the art of making what you want from what you can get at a profit.