Adiabatic Compression of a Doublet Field Reversed Configuration (FRC)

Woodruff, S.; Macnab, Angus; Mattor, Nathan

doi:10.1007/s10894-007-9101-6

Cited by 13 publications

(6 citation statements)

References 20 publications

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“…Previously a onedimensional (1D) adiabatic theory [21] developed to predict the scalings of FRC compression has been found consistent with the radially averaged temperature and density in the initial stage of FRC compression in the FRX-C/LSM experiments [20]. Later a NIMROD simulation of the fast magnetic compression of FRC plasma shows that the rise of peak pressure follows the theory prediction within the initial 10 µs in general [22].…”

Section: Introductionmentioning

confidence: 68%

“…The magnetic compression process of the FRC usually lasts only less than 70 µs in experiments and simulations [17,20,22], and the volume of the FRC shrinks drastically during compression. One way to study the dynamic effects of the compression process, in contrast to the quasi-static condition assumed in the 1D theory, may be to vary the ramping rate of the externally applied compression magnetic field.…”

Section: Ramping Rate Effects Of Compression Magnetic Fieldmentioning

confidence: 99%

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MHD simulation on magnetic compression of field reversed configurations with NIMROD

Zhu²,

Ren³

et al. 2023

Nucl. Fusion

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Magnetic compression has long been proposed a promising method for plasma heating in a field reversed configuration (FRC). However, it remains a challenge to fully understand the physical mechanisms underlying the compression process, due to its highly dynamic nature beyond the one-dimensional (1D) adiabatic theory model [R. L. Spencer et al., Phys. Fluids 26, 1564 (1983)]. In this work, magnetohydrodynamics (MHD) simulations on the magnetic compression of FRCs using the NIMROD code [C. R. Sovinec et al., J. Comput. Phys. 195, 355 (2004)] and their comparisons with the 1D theory have been performed. The effects of the assumptions of the theory on the compression process have been explored, and the detailed profiles of the FRC during compression have been investigated. The pressure evolution agrees with the theoretical prediction under various initial conditions. The axial contraction of the FRC can be affected by the initial density profile and the ramping rate of the compression magnetic field, but the theoretical predictions on the FRC's length in general and the relation r s=√2 r o in particular hold approximately well during the whole compression process, where r s is the major radius of FRC separatrix and r o is that of the magnetic axis. The evolutions of the density and temperature can be affected significantly by the initial equilibrium profile and the ramping rate of the compression magnetic field. During the compression, the major radius of the FRC is another parameter that is susceptible to the ramping rate of the compression field. Basically, for the same magnetic compression ratio, the peak density is higher and the FRC's radius r s is smaller than the theoretical predictions.

show abstract

Section: Introductionmentioning

confidence: 68%

Section: Ramping Rate Effects Of Compression Magnetic Fieldmentioning

confidence: 99%

MHD simulation on magnetic compression of field reversed configurations with NIMROD

Zhu²,

Ren³

et al. 2023

Nucl. Fusion

View full text Add to dashboard Cite

show abstract

“…Previously a one-dimensional (1D) adiabatic theory [22] developed to predict the scalings of FRC compression has been found consistent with the radially averaged temperature and density in the initial stage of FRC compression in the FRX-C/LSM experiments [21]. Later a NIMROD simulation of the fast magnetic compression of FRC plasma shows that the rise of peak pressure follows the theory prediction within the initial 10µs in general [23].…”

Section: Introductionmentioning

confidence: 72%

“…The magnetic compression process of the FRC usually lasts only less than 70µs in experiments and simulations [18,21,23], and the volume of the FRC shrinks drastically during the compression. One way to study the dynamic effects of the compression process, in contrast to the quasi-static condition assumed in the 1D theory, may be to vary the ramping rate of the externally applied compression magnetic field.…”

Section: Ramping Rate Effects Of Compression Magnetic Fieldmentioning

confidence: 99%

MHD Simulations on Magnetic Compression of Field Reversed Configurations

Zhu¹,

Ren²,

Li³

2022

Preprint

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The magnetic compression has long been proposed a promising method for the plasma heating in a field reversed configuration (FRC), however, it remains a challenge to fully understand the physical mechanisms underlying the compression process, due to its highly dynamic nature beyond the one-dimensional (1D) adiabatic theory model [R. L. Spencer et al., Phys. Fluids 26, 1564]. In this work, magnetohydrodynamics (MHD) simulations on the magnetic compression of FRCs using the NIMROD code [C. R. Sovinec et al., J. Comput. Phys. 195, 355 (2004)] and their comparisons with the 1D theory have been performed. The effects of the assumptions of the theory on the compression process have been explored, and the detailed profiles of the FRC during compression have been investigated. The pressure evolution agrees with the theoretical prediction under various initial conditions. The axial contraction of the FRC can be affected by the initial density profile and the ramping rate of the compression magnetic field, but the theoretical predictions on the FRC's length in general and the relation r s = √ 2r o in particular hold approximately well during the whole compression process, where r s is the major radius of FRC separatrix and r o is that of the magnetic axis. The evolutions of the density and temperature can be affected significantly by the initial equilibrium profile and the ramping rate of the compression magnetic field. During the compression, the major radius of the FRC is another parameter that is susceptible to the ramping rate of the compression field. Basically, for the same magnetic compression ratio, the peak density is higher and the FRC's radius r s is smaller than the theoretical predictions.

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“…Analytic scaling models for the compression of plasmas generally follow the ideal gas law [10]. For processes that are adiabatic, (γ=5/3): P 0 .…”

Section: Modelingmentioning

confidence: 99%