Empirical scaling laws for energy confinement in Ohmically-heated tokamaks
Empirical scaling laws for energy confinement in Ohmically-heated tokamaks
复制标题
欧姆加热托卡马克能量限制的经验标度定律
DOI：
10.1088/0029-5515/19/1/006
复制
发表时间：
1979
期刊：
影响因子：
3.3
通讯作者：
R. Waltz
中科院分区：
文献类型：
--
作者：
W. Pfeiffer;R. Waltz
讨论了托卡马克能量限制标度定律的解释和经验确定。特别强调的是根据欧姆加热数据确定限制时间的温度依赖性的困难。然后呈现大量欧姆加热数据。对这些数据进行统计分析，以获得以下温度和限制时间标度：⟨Te⟩=e−9.3⟨ne⟩−0.10a−1.29R0.66I0.88≡ Π 和 τEe = e−43.8⟨ne⟩0.90a0.98R1.63(⟨Te⟩/Π)γ。指数γ；未确定，单位为 mks 和 keV。如果假设限制时间与温度无关并且施加尺寸约束，则最佳缩放变为 τEe = e−47.5 ⟨ne⟩ a5/4 R。将这些缩放与之前提出的几个缩放进行比较。
The interpretation and empirical determination of scaling laws for tokamak energy confinement are discussed. Special emphasis is given to the difficulty in determining the temperature dependence of the confinement time from Ohmically-heated data. A large collection of Ohmically-heated data is then presented. These data are analysed statistically to obtain the following temperature and confinement time scalings: ⟨Te⟩=e−9.3⟨ne⟩−0.10a−1.29R0.66I0.88≡ Π and τEe = e−43.8⟨ne⟩0.90a0.98R1.63(⟨Te⟩/Π)γ. The exponent γ; is undetermined, and the units are mks and keV. If the confinement time is assumed independent of temperature and if dimensional constraints are imposed, then the best scaling becomes τEe = e−47.5 ⟨ne⟩ a5/4 R. These scalings are compared to several previously proposed ones.