Minimum streaming current requirements for MFTF--revised by recent (r/sub p//a/sub i/) scaling in 2XIIB Page: 4 of 18
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Vh 2 a 4/3
p3 p 1,5 l (y1rp} p R-1) E i (r 1
A3~i~ (k) L5(~1)T (-)141
With jst = nweVw and VY a VJ - aff e
12 a (n-1)3/2 n T 3/2 4/3
Thn Ej I r. X 0 - (2)
Then st3 7.5 X -)(R-1) MI/2 (
Here a is usually taken as ~ .5 (though relatively sensitive and a
somewhat unknown parameter with RF turbulence present), n here is taken
as ~ 4 to fit the classica. ambipolar potential picture, R is the
effective mirror ratio R = Rvac/(1-AB/8)), M is the ion mass in
a.m.u., n is the local hot ion density/cm3 and both Te and Ei are
For regime 2 from Table I with a revised t2 scaling from
Correll's memo3 and a coefficient of .36 chosen so 43 = "2 at the
boundary where ai/rp - Vh/VH- 1/6 for MFTF type parameters, one
12 a (n-1)3/4 n Te3/4 a\ 2
jst2 1.8 X 14~ (R-1) 4E 11M f/ (3)
II) The normalization of N and *jst to the most recent 2XIIB
data is done for this treatment by Correll in Ref. 3. The change in
63 at rp/a. -2 from the earlier memol is relatively slight
[i.e. a coefficient of -1.3 for Eq. (1) (with a~1/2) instead of the
1.5 used here]. However, the substantial reduction implied in both
63 and particularly A2 for other values of (r/a.) scaling is
perhaps best i'lustrated by Fig. 1. This figure shows the consequences
of using the original analytic scaling of A ~independent of a./rp
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Osher, John E. Minimum streaming current requirements for MFTF--revised by recent (r/sub p//a/sub i/) scaling in 2XIIB, report, February 14, 1979; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc1207834/m1/4/: accessed February 18, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.