Invariant regimes of Spencer scaling law for magnetic compression of rotating FRC plasma

Ma, Yiming; Zhu, Ping; Rao, Bo; Li, Haolong

doi:10.1088/1741-4326/ad7ed5

Title: Invariant regimes of Spencer scaling law for magnetic compression of rotating FRC plasma

Journal Article · 07 October 2024 · Nuclear Fusion

DOI: https://doi.org/10.1088/1741-4326/ad7ed5 · OSTI ID:2459342

Ma, Yiming;

; Rao, Bo;

Abstract The scaling laws for the magnetic compression of a toroidally rotating field reversed configuration (FRC) have been investigated in this work. The magnetohydrodynamics (MHD) simulations of the magnetic compression on rotating FRCs employing the NIMROD code (Sovinec et al 2004 J. Comput. Phys. 195 355), are compared with the Spencer’s one-dimensional (1D) theory (Spencer et al 1983 Phys. Fluids 26 1564) for a wide range of initial flow speeds and profiles. The toroidal flow can influence the scalings directly through the alteration of the compressional work as also evidenced in the 1D adiabatic model, and indirectly by reshaping the initial equilibrium. However, in comparison to the static initial FRC equilibrium cases, the pressure and the radius scalings remain invariant for the magnetic compression ratio $B_{w 2} / B_{w 1}$ up to 6 in presence of the initial equilibrium flow, suggesting a broader applicable regime of the Spencer scaling law for FRC magnetic compression. The invariant scaling has been proven a natural consequence of the conservation of angular momentum of both fluid and magnetic field during the dynamic compression process.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-86ER53218

OSTI ID:: 2459342

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 12 Vol. 64; ISSN 0029-5515

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: IAEA

Language:: English

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