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Pré-Publication, Document De Travail Année : 2023

Scaling laws of the plasma velocity in visco-resistive magnetohydrodynamic systems

A Krupka
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Résumé

We consider a visco-resistive magnetohydrodynamic modeling 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 η f (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 H 1/4 , which is consistent with numerical results.
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Dates et versions

hal-04459262 , version 1 (15-02-2024)

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  • HAL Id : hal-04459262 , version 1

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A Krupka, M.-C Firpo. Scaling laws of the plasma velocity in visco-resistive magnetohydrodynamic systems. 2023. ⟨hal-04459262⟩
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