Scaling laws of the plasma velocity in visco-resistive magnetohydrodynamic systems
Fundamental Plasma Physics, ISSN: 2772-8285, Vol: 10, Page: 100044
2024
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Article Description
We consider a visco-resistive magnetohydrodynamic modelling of a steady-state incompressible tokamak plasma with a prescribed toroidal current drive, featuring constant resistivity η and viscosity ν. It is shown that the plasma velocity root-mean-square behaves as ηf(H) as long as the inertial term remains negligible, where H stands for the Hartmann number H≡(ην)−1/2, and that f(H) exhibits power-law behaviours in the limits H≪1 and H≫1. In the latter limit, we establish that f(H) scales as H1/4, which is consistent with numerical results.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S2772828524000098; http://dx.doi.org/10.1016/j.fpp.2024.100044; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85208438625&origin=inward; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85215225322&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S2772828524000098; https://dx.doi.org/10.1016/j.fpp.2024.100044
Elsevier BV
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