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  5. A kinetic model for neoclassical transport in ELMO Bumpy Torus including the effects of a self-consistently calculated enhanced high energy tail on the ion distribution function
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A kinetic model for neoclassical transport in ELMO Bumpy Torus including the effects of a self-consistently calculated enhanced high energy tail on the ion distribution function

Date Issued
August 1, 1980
Author(s)
Tolliver, J. S.
Advisor(s)
Owen Eldridge
Additional Advisor(s)
E. G. Harris
C. C. Shih
Permanent URI
https://trace.tennessee.edu/handle/20.500.14382/37406
Abstract
The theoretical analysis of the transport of particles and energy in ELMO Bumpy Torus (EBT) is a subject of great interest. Much work has been done in the calculation of these transport rates based on the assumption of a Maxwellian lowest order ion distribution function. Experimental evidence indicates the presence of a non-Maxwellian ion distribution function with an enhanced high energy tail. Approximate theoretical results that indicate a small enhancement of the high energy ion tail due to Coulomb collisions between electrons and ions have existed for some time. It is the intent of the present research to much more accurately calculate, by numerical techniques, the effects of electron-ion collisions on the tail formation and to self-consistently include the non-Maxwellian nature of the lowest order ion distribution function the neoclassical ion transport losses in a kinetic theory description of the EBT toroidal plasma.

A drift kinetic equation is bounce-averaged over the rapid motion of particles parallel to the magnetic field, leaving an equation involving only the relatively slow drift motion of particles across the magnetic field. The drift velocity for particles in EBT is derived, and a Fokker-Planck collision operator assuming isotropic velocity distributions for both electrons and ions is used. Fourier expansion in the poloidal angle and a point model approximation for the radial dimension are used to further simplify the problem. The resulting three coupled nonlinear integro-differential equations are solved numerically, showing the formation of an enhanced high energy tail on the ion distribution function. Neoclassical loss rates are calculated with and without including the non-Maxwellian nature of the ion distribution function. The results show that the presence of the high energy tail vastly influences neoclassical losses in EBT.

Degree
Master of Science
Major
Physics
File(s)
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Thesis80T652.pdf

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5.2 MB

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f8051f9b47e7861be3a8e2c6d8562478


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