4,378
edits
Flux surface: Difference between revisions
no edit summary
No edit summary |
|||
| (2 intermediate revisions by the same user not shown) | |||
| Line 3: | Line 3: | ||
:<math>\vec B \cdot \vec n = 0</math> | :<math>\vec B \cdot \vec n = 0</math> | ||
everywhere on ''S''. It is then possible to define a scalar ''flux function'' (''f'') such that its value is constant on the surface ''S'', and | everywhere on ''S''. | ||
In other words, the magnetic field does not ''cross'' the surface ''S'' anywhere, i.e., the magnetic flux traversing ''S'' is zero. | |||
It is then possible to define a scalar ''flux function'' (''f'') such that its value is constant on the surface ''S'', and | |||
:<math>\vec B \cdot \vec \nabla f = 0</math> | :<math>\vec B \cdot \vec \nabla f = 0</math> | ||
| Line 22: | Line 24: | ||
[[File:Flux_definition.png|250px|thumb|right|Diagram showing the surfaces defining the poloidal (red) and toroidal (blue) flux]] | [[File:Flux_definition.png|250px|thumb|right|Diagram showing the surfaces defining the poloidal (red) and toroidal (blue) flux]] | ||
When ''B'' is a magnetic field with toroidal nested flux surfaces, two magnetic fluxes can be defined from two corresponding surfaces. | When ''B'' is a magnetic field with toroidal nested flux surfaces, two magnetic fluxes can be defined from two corresponding surfaces. | ||
<ref>R.D. Hazeltine, J.D. Meiss, ''Plasma Confinement'', Courier Dover Publications (2003) ISBN 0486432424</ref> | <ref>R.D. Hazeltine, J.D. Meiss, ''Plasma Confinement'', Courier Dover Publications (2003) {{ISBN|0486432424}}</ref> | ||
The poloidal flux is defined by | The poloidal flux is defined by | ||