Scaling law: Difference between revisions

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* make performance comparisons between devices
* make performance comparisons between devices
* make educated guesses at local transport mechanisms
* make educated guesses at local transport mechanisms


== General method ==
== General method ==
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The main performance parameter that is subjected to scaling law analysis is the [[Energy confinement time|energy confinement time]], &tau;<sub>E</sub>.
The main performance parameter that is subjected to scaling law analysis is the [[Energy confinement time|energy confinement time]], &tau;<sub>E</sub>.
The following are some of the most-used scalings for tokamaks:
The following are some of the most-used scalings for tokamaks:
<ref>[http://dx.doi.org/10.1088/0029-5515/39/12/301 ITER Physics Expert Groups on Confinement Modelling and Transport, Confinement Modelling and Database, and ITER Physics Basis Editors, Nucl. Fusion '''39''' (1999) 2137]</ref>
<ref name="ITER">[http://dx.doi.org/10.1088/0029-5515/39/12/301 ITER Physics Expert Groups on Confinement Modelling and Transport, Confinement Modelling and Database, and ITER Physics Basis Editors, Nucl. Fusion '''39''' (1999) 2137]</ref>
* L-mode scaling (H<sub>89P</sub>)
* L-mode scaling (H<sub>89P</sub>)
* ELMy H-mode scaling (H<sub>H98</sub>(y,2))
* ELMy H-mode scaling (H<sub>H98</sub>(y,2))
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Assuming quasi-neutrality, the relevant scaling laws can be cast into dimensionless forms that involve only three plasma parameters (apart from geometrical factors):
Assuming quasi-neutrality, the relevant scaling laws can be cast into dimensionless forms that involve only three plasma parameters (apart from geometrical factors):
<ref name="ITER"/>
<ref>B.B. Kadomtsev,  Sov. J. Plasma Phys. '''1''' (1975)295</ref>
<ref>B.B. Kadomtsev,  Sov. J. Plasma Phys. '''1''' (1975)295</ref>