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Title:  Thermonuclear Driven Fast Magnetosonic Wave Heating in Tokamak Plasmas 
Author(s):  Sutton, William Roy, Iii 
Department / Program:  Nuclear Engineering 
Discipline:  Nuclear Engineering 
Degree Granting Institution:  University of Illinois at UrbanaChampaign 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  Engineering, Nuclear 
Abstract:  A thermonuclear driven fast magnetosonic wave instability is investigated in tokamak plasmas for propagation transverse to the external magnetic field at frequencies of several times the alpha particle gyro rate: (omega)(TURNEQ)L(OMEGA)(, ) =k(,(PERP))v(,A), L(TURN)4 to 8, k(,(PARLL))<<k(,(PERP)). The 2D differential quasilinear diffusion equation is derived in circular cylindrical, v(,(PERP))v(,(PARLL)) geometry. We perform an expansion in the small parameter k(,(PARLL))/k(,(PERP)) of the quasilinear diffusion coefficients. Examination of the mathematical structure of these coefficents reveals that they are independent of v(,(PARLL)) to zero order in the small parameter k(,(PARLL))/k(,(PERP)) and exhibit the ordering D(,(PERP)):D(,X):D(,(PARLL))(TURN)1:0(k(,(PARLL))/k(,(PERP))):0(k(,(PARLL))('2)/k(,(PERP))('2)) for the perpendicular, cross and parallel terms, respectively. Inherently 2D phenomena such as loss cone and collisional effects are neglected and the isotropic Gaussian shell source is employed for the initial alpha distribution. These assumptions permit reduction of the problem from 2D to 1D by integrating out the v(,(PARLL)) dependence. This reduced system includes the contribution from all alpha particles. We have quantified the instability effect at the microscopic, plasma and system levels for the first time. System level information is available by coupling data produced in production runs of the 1D formation with a 1 1/2D tokamak transport code. We have employed a new technique to produce contour plots of the alpha particle threshold fraction to identify the instability regions in the n(,e)T(,i) plane. Surveys of the n(,e)T(,i) plane indicate that alpha particle threshold fractions as low as 10('6)10('4) may be possible for the alpha source function in tokamak geometry. Plasma level survey calculations using the reduced 1D quasilinear formulation indicate enhancements in the classical alphaion energy split by factors of as much as 1.5 for T(,i)=T(,e) at 7 keV. System level effects, however, are less than a 12% improvement in fusion power, due to the rapid equilibration of electron and ion temperatures in these plasmas. 
Issue Date:  1982 
Type:  Text 
Description:  236 p. Thesis (Ph.D.)University of Illinois at UrbanaChampaign, 1982. 
URI:  http://hdl.handle.net/2142/70885 
Other Identifier(s):  (UMI)AAI8302999 
Date Available in IDEALS:  20141216 
Date Deposited:  1982 
This item appears in the following Collection(s)

Dissertations and Theses  Nuclear, Plasma, and Radiological Engineering

Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois