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Empirical scaling laws for energy confinement in Ohmically-heated tokamaks

W. Pfeiffer, R.E. Waltz1979年被引用 85Nuclear FusionIF 3出版社

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.

日本語訳

トカマクのエネルギー閉じ込めのスケーリング則の解釈と経験的決定について議論する。特に、オーム加熱データから閉じ込め時間の温度依存性を決定することの困難さに重点が置かれる。次に、大量のオーム加熱データが提示される。これらのデータは統計的に解析され、以下の温度と閉じ込め時間のスケーリングが得られる:⟨Te⟩=e−9.3⟨ne⟩−0.10a−1.29R0.66I0.88≡ Π および τEe = e−43.8⟨ne⟩0.90a0.98R1.63(⟨Te⟩/Π)γ。指数γは未決定であり、単位はmksとkeVである。閉じ込め時間が温度に依存しないと仮定され、次元の制約が課されるならば、最良のスケーリングはτEe = e−47.5 ⟨ne⟩ a5/4 Rとなる。これらのスケーリングは、以前に提案されたいくつかのものと比較される。

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Ohmic heatingEnergy confinement
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