Axissymmetric Non Ideal Mhd States With Steady Flow

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Axissymmetric Non Ideal Mhd States With Steady Flow
W Kerner
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-V - and ^-xa - 0. The continuity equation then does not determine the density. Equations (41), (42) and (53) form a closed set for ^', X and co . The two remaining poloidal components of the momentum equation determine the thermodynamic quantities «^ and p . As discussed for incom- pressible flow, in the case with viscosity, the momentum imbalance may act as a source for poloidal rotation even if no rotation is imposed at the wall.
For zero viscosity, u. « O, the system has quite different pro
...perties. The momentum equation reduces to W\ ^oA- Vu = - Vp - -^ \J^ - ^ ^'>^ + ve vxx^H^.^6 For given ^ one has to solve a system of mixed type with sonic transition, which causes difficulties as discussed in Sect. II.
- 23 - IV. General Pressure Tensor In the analysis so far a simplified pressure tensor has been taken into account. A strong magnetic field, however, requires a more general tensor than that from ordinary fluid theory. This tensor is derived from microscopic theory; see, for example, Braginskii / 5 /.


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