Scaling of energy confinement with minor radius, current and density in Doublet III Ohmically heated plasmas

The dependence of plasma energy confinement on minor radius, density and plasma current is described for Ohmically heated near-circular plasmas in Doublet III. A wide range of parameters is used for the study of scaling laws; the plasma minor radius defined by the flux surface in contact with limiter is varied by a factor of 2 (a = 44, 32 and 23 cm) , the line average plasma density, e , is varied by a factor of 20 from 0.5 to 10 × 10 13 cm −3 ( e R 0 /B T = 0.3 to 6 × 10 14 cm −2 ·kG −1 ) and the plasma current, I, is varied by a factor of 6 from 120 to 718 kA. The range of the limiter safety factor, q L , is from 2 to 12. – For plasmas with a = 23 and 32 cm, the scaling law at low e for the gross electron energy confinement time can be written as (s, cm) where q c = 2πa 2 B T /μ 0 IR 0 . For the 44-cm plasmas, is about 1.8 times less than predicted by this scaling, possibly owing to the change in limiter configuration and small plasma-wall separation and/or the aspect ratio change. At high e , saturates and in many cases decreases with e but increases with I in a classical-like manner. The dependence of on a is considerably weakened. The confinement behaviour can be explained by taking an ion thermal conductivity 2 to 7 times that given by Hinton-Hazeltine's neoclassical theory with a lumped-Z eff impurity model. Within this range the enhancement factor increases with a or a/R 0 . The electron thermal conductivity evaluated at half-temperature radius where most of the thermal insulation occurs sharply increases with average current density within that radius, but does not depend on a within the uncertainties of the measurements.