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Scaling law: Difference between revisions
→Confinement time scaling
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* L-mode scaling (ITER89-P) | * L-mode scaling (ITER89-P) | ||
:<math>\tau_E^L = 0.048 I_M^{0.85} R_0^{1.2} a^{0.3} \kappa^{0.5} \bar n_{20}^{0.1} B_0^{0.2} A^{0.5} P_M^{-0.5}</math> | :<math>\tau_E^L = 0.048 I_M^{0.85} R_0^{1.2} a^{0.3} \kappa^{0.5} \bar n_{20}^{0.1} B_0^{0.2} A^{0.5} P_M^{-0.5}</math> | ||
* ELMy [[H-mode]] scaling (IPB98(y,2)) | * ELMy [[H-mode]] scaling (IPB98(y,2)) | ||
:<math>\tau_E^H = 0.145 I_M^{0.93} R_0^{1.39} a^{0.58} \kappa^{0.78} \bar n_{20}^{0.41} B_0^{0.15} A^{0.19} P_M^{-0.69}</math> | :<math>\tau_E^H = 0.145 I_M^{0.93} R_0^{1.39} a^{0.58} \kappa^{0.78} \bar n_{20}^{0.41} B_0^{0.15} A^{0.19} P_M^{-0.69}</math> | ||
where ''I<sub>M</sub>'' is given in MA, ''P<sub>M</sub>'' in MW, ''n<sub>20</sub>'' in 10<sup>20</sup> m<sup>-3</sup>, and ''B<sub>0</sub>'' in T. | where ''I<sub>M</sub>'' is given in MA, ''P<sub>M</sub>'' in MW, ''n<sub>20</sub>'' in 10<sup>20</sup> m<sup>-3</sup>, and ''B<sub>0</sub>'' in T. | ||
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<ref>[http://www.ipp.mpg.de/ISS ISS-IPP] and [http://iscdb.nifs.ac.jp/ ISS-NIFS] homepages</ref> | <ref>[http://www.ipp.mpg.de/ISS ISS-IPP] and [http://iscdb.nifs.ac.jp/ ISS-NIFS] homepages</ref> | ||
<ref>[http://dx.doi.org/10.1088/0029-5515/47/9/025 A. Dinklage et al, ''Physical model assessment of the energy confinement time scaling in stellarators'', Nuclear Fusion '''47''', 9 (2007) 1265-1273]</ref> | <ref>[http://dx.doi.org/10.1088/0029-5515/47/9/025 A. Dinklage et al, ''Physical model assessment of the energy confinement time scaling in stellarators'', Nuclear Fusion '''47''', 9 (2007) 1265-1273]</ref> | ||
* ISS04v3 | |||
:<math>\tau_E = 0.148 R^{0.64} a^{2.33} \bar n_{20}^{0.55} B^{0.85} \iota_{2/3}^{0.41} P^{-0.61}</math> | |||
=== Power degradation === | === Power degradation === | ||