Confinement effects of electron heating in the thermal barrier of a tandem mirror

Carrera, R.; Catto, Peter J.

doi:10.1063/1.864934

Cited by 2 publications

(6 citation statements)

References 13 publications

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“…[5] rather than the Pastukhov result [1,2,19] forGp in Eq. (15). Reference [5] describes NUCLEAR FUSION, Vol.24, No.l (1984) an improvement in the Pastukhov calculation which yields generally much better agreement with numerical results than does the Pastukhov result !…”

Section: Passing Particlesmentioning

confidence: 99%

“…This form accounts for the finite extent of the separatrix 3) for R < 1. The results are G = G and (10) (11), and ( 13)- ( 15). These can be used in particle and energy balance equations to determine, for example, the trapped density nt and temperature Tt in terms of the remaining variables n m , T u , 0, the trapped-particle source S, and the power input P from sources and other species.…”

Section: Analytic Expressionsmentioning

confidence: 99%

“…[6] and describe a procedure for extrapolating these to obtain expressions applicable at intermediate mirror ratios. An alternative procedure, with approximately the same degree of rigour, is described in Refs [14,15]. In Section 4, we describe a series of code runs in which the mirror ratio and electron heating power are varied in order to test the analytic formulae.…”

Section: Introductionmentioning

confidence: 99%

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Electrostatically trapped electrons in thermal-barrier tandem mirrors

Rensink

Cohen

Mirin³

et al. 1984

Nucl. Fusion

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Electron confinement in the plug regions of thermal-barrier tandem mirrors is examined. Analytical and numerical (Fokker-Planck code) approaches are presented for small-to-intermediate mirror ratios including the effects of passing particles and electron heating. Steady-state trapped-electron densities and mean energies from the theory and code agree to within 20% for mirror ratios 0 < R < 2.2 with and without passing particles. Electron heating and detrapping by strong RF diffusion is demonstrated computationally for parameters expected in the TMX-U experiment. * Work performed under the auspices of the US Department of Energy by the Lawrence Livermore National Laboratory under contract number W-7405-ENG-48.

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Section: Passing Particlesmentioning

confidence: 99%

Section: Analytic Expressionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electrostatically trapped electrons in thermal-barrier tandem mirrors

Rensink

Cohen

Mirin³

et al. 1984

Nucl. Fusion

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“…These fluxes are obtained by applying the theory developed in Ref. [11] to the configuration considered here [12]. Finally, the last term is the axial loss over the electron confinement potential <b Q .…”

Section: Central Cellmentioning

confidence: 99%

“…The expressions for the fluxes are those of Ref. [11] applied to the MFTF-B configuration [12). F c _ > .…”

Section: Thermal Barrier Modelmentioning

confidence: 99%

Time-dependent studies of a tandem mirror with thermal barriers

Montalvo

Emmert

1986

Nucl. Fusion

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The time evolution of a plasma confined in a tandem mirror with thermal barriers has been studied. A physics model is given which describes the kinetic interactions in velocity space between the particles of the various plasma species that exist in each spatial region of the confinement, and the effects of a variety of particle and energy sources applied to the plasma. The analysis includes particle and energy rate equations for the various species determining the plasma confinement. The analysis also includes quasineutrality and ambipolarity conditions which define the ambipolar potential profile along the axis of the device as well as expressions for the passing particle densities in each region. This model describes in a self-consistent manner the time evolution of tandem mirror confinement with thermal barriers including the steady-state phase of operation. The resulting system of equations is solved numerically. The axicell MFTF-B configuration has been studied specifically. A possible startup scenario has been obtained. The results show the time sequence that must be followed to build up a plasma from given initial conditions to the steady-state phase by means of appropriately programmed particle and energy sources applied to the plasma.

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Confinement effects of electron heating in the thermal barrier of a tandem mirror

Cited by 2 publications

References 13 publications

Electrostatically trapped electrons in thermal-barrier tandem mirrors

Electrostatically trapped electrons in thermal-barrier tandem mirrors

Time-dependent studies of a tandem mirror with thermal barriers

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