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<p>We examine the properties of the three-dimensional (3D) equilibrium of non-viscous, compressible magnetohydrodynamic (MHD) flows with force-free magnetic fields (FFMFs) in the steady state. We consider flows in which the electric current density, velocity field, and magnetic field are parallel. We provide general formulas for 3D solutions of the examined flows in terms of the velocity potential and gas density. To verify and test our findings, we provide examples, including one that describes the motion of a gas in plasma confinement devices.</p>

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Three-dimensional equilibria for compressible MHD plasma confinement by force-free magnetic fields

  • 期刊论文

  • 发表日期：

    2026年6月23日

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  • E. T. Hussain,
  • D. A. Ibrahim,
  • O. H. El-Kalaawy,
  • S. M. Moawad

摘要

We examine the properties of the three-dimensional (3D) equilibrium of non-viscous, compressible magnetohydrodynamic (MHD) flows with force-free magnetic fields (FFMFs) in the steady state. We consider flows in which the electric current density, velocity field, and magnetic field are parallel. We provide general formulas for 3D solutions of the examined flows in terms of the velocity potential and gas density. To verify and test our findings, we provide examples, including one that describes the motion of a gas in plasma confinement devices.