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1 - Nuclear Sciences and Applications - IAEA

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660 SCOTT et al.<br />

30<br />

25<br />

20 - / 1<br />

10<br />

[hi<br />

I Jo<br />

: * a<br />

5 '- °4.8 M\<br />

—i r<br />

A \<br />

15<br />

O -^t<br />

: / o<br />

n ' . I ,1<br />

2.5 3.0<br />

R(rti)<br />

n<br />

o<br />

(a) ;<br />

11.6 MW •<br />

-<br />

7.3 MW :<br />

^ J<br />

4t<br />

:<br />

2.5 3.0<br />

R(m)<br />

FIG. 3. Profiles of (a) ion temperature <strong>and</strong> (b) toroidal rotation speed measured by CHERSfor three<br />

discharges in a beam power scan at Ip = 1.1 MA. The solid line represents the ion temperature <strong>and</strong><br />

rotation speed mapped onto shifted flux surfaces for the 11.6 MW discharge. The vertical arrows<br />

represent the location of the magnetic axis for the 11.6 MW discharge.<br />

the plasma edge due to charge-exchange. |This perspective is supported by<br />

the edge-heating experiments [7] which showed an inward radial diffusion of<br />

angular momentum when torque was applied to the plasma edge only. The<br />

rotation profile was not hollow in the inner region of the plasma during the<br />

equilibrium phase of the discharge, implying that local damping of rotation<br />

(e.g., due to toroidal field ripple) is a much smaller effect than radial transport.]<br />

The steady-state momentum balance is evaluated by the 1-D radial<br />

transport code SNAP, using v,j,(R), ne(R), TC(R), <strong>and</strong> T{(R) mapped onto<br />

a minor radius grid using a shifted-circle equilibrium. The radial variation<br />

of X[ r ) IS determined from the momentum balance equation [2] which includes<br />

the deposition of beam torque calculated by a moments solution of<br />

the Fokker-Planck equation [8]. Details of the calculation are described in<br />

Ref. [9].<br />

Table 1 summarizes the global momentum confinement results of the beam<br />

power scans as calculated from the measured profiles of v^{R) <strong>and</strong> ne(R).<br />

The thermal momentum confinement times are rather short, ranging from<br />

29 to 56 msec, or 30-40% of the global energy confinement time. This result<br />

is consistent with velocity profile measurements on D-III, which find<br />

T 4> I T E ~ 0.5 in limiter discharges [10]. It should be stressed that many of<br />

these discharges are strongly beam-dominated, in the sense that the slowingdown<br />

beam ion population typically represents 50-65% of the stored momentum,<br />

more than 50% of the plasma stored energy, <strong>and</strong> up to 20% of the<br />

plasma mass. The global T$ for counter-injection is somewhat less than that

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