Axial current – Knowledge and References

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Thermal Transport and Magnetic Field Diffusion

Published in Stanley Humphries, Field Solutions on Computers, 2020

Figure 12.9 shows an alternate two-dimensional geometry that applies to simulations of high-power plasma or metal pinches. Here, an axial current flows through a cylindrical system. Azimuthal symmetry implies that there is only one component of magnetic field, Bθ. Therefore, it is most convenient to cast the diffusion equation directly in terms of this quantity. For pinch applications we make two simplifying assumptions: the medium is nonmagnetic (μr=1) and there are no internal applied currents (Jo=0). Equation 12.42 becomes () Jc=1μo∇×B.

An exact threshold for separator bifurcation

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Journal Information

Published in Geophysical & Astrophysical Fluid Dynamics, 2022

C. Prior, P. F. Wyper

We also note that if the axial current is of one sign (chirality), then calculating alone should be sufficient.