Kinetic treatment of alpha-particle loss and energy deposition in ELMO Bumpy Torus

Technical Report · Wed Dec 01 00:00:00 EST 1982

DOI:https://doi.org/10.2172/6629810· OSTI ID:6629810

Fenstermacher, M. E.; Uckan, N. A.

A formalism has been developed in terms of a drift kinetic equation with a Fokker-Planck collision operator to calculate alpha particle loss and energy deposition rate coefficients for one position in space and for steady-state operating conditions. A bounce-averaged drift kinetic equation for an ELMO Bumpy Torus (EBT) is expressed in invariant variables E = v/sup 2//2 and lambda = v/sub perpendicular//sup 2/B/sub MID//v/sup 2/B(l) and is used with energy scattering and pitch angle scattering terms in the collision operator. The alpha particle distribution function is expanded in terms of energy coefficients and pitch angle eigenfunctions. For the case of a square well magnetic field shape, the pitch angle eigenfunctions are the Legendre polynominals. With an expression for the distribution function the particle loss and energy deposition rates are calculated by taking the zeroth and first-order energy moments, respectively, of the kinetic equation.

• Research Organization: Michigan Univ., Ann Arbor (USA). Dept. of Nuclear Engineering
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 6629810
• Report Number(s): ORNL/TM-8431; ON: DE83004234
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ELMO BUMPY TORUS
DISTRIBUTION FUNCTIONS
ENERGY LOSSES
ALPHA PARTICLES
EIGENFUNCTIONS
FOKKER-PLANCK EQUATION
KINETIC EQUATIONS
ORBITS
SCATTERING
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
ELMO DEVICES
EQUATIONS
FUNCTIONS
LOSSES
MAGNETIC MIRRORS
OPEN PLASMA DEVICES
PARTIAL DIFFERENTIAL EQUATIONS
THERMONUCLEAR DEVICES
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)