PhD and MPhil Thesis Classes - Université Libre de Bruxelles

LIST OF FIGURES4.16 The growth rates (left column), real frequency (middle column) and dimensionlesswave vector (right column) of the most unstable modes asfunctions of the temperature gradient parameter ɛ Te,i calculated with differentconcentrations ξ Ne and density gradient parameters ɛ nNe of Ne 10+impurity ions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 824.17 The growth rates (left column), real frequency (middle column) and dimensionlesswave vector (right column) as functions of magnetic shearcalculated for different concentrations ξ Ne and density gradient parametersɛ nNe of neon impurity. . . . . . . . . . . . . . . . . . . . . . . . . . 834.18 The growth rates (left column), real frequency (middle column) anddimensionless wave vector (right column) versus temperature gradientscale in deuterium plasma with C +6 , N +7 , O +8 , Ne +10 , Ar +18 impurityions of different total concentrations: no impurity (red curves), ∑ ξ j =1% (black solid curves), 3% (black dashed curves) and 5% (black dasheddottedcurves); the impurity ion density gradient parameters are calculatedself-consistently from zero particle fluxes. . . . . . . . . . . . . . . 854.19 The growth rates (left column), real frequency (middle column) and dimensionlesswave vector (right column) versus magnetic shear computedfor ɛ Te,i = 10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 855.1 Diffusivity and pinch velocity of deuterons and electrons, D i,e (left column)and V i,e (right column), respectively, versus ɛ Te,i calculated fors = 1.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 895.2 Diffusivity and pinch velocity of deuterons and electrons versus magneticshear calculated for ɛ Te,i = 10. . . . . . . . . . . . . . . . . . . . . . . . . 895.3 Heat transport coefficients κ i,e (left column) and Π i,e (right column) asfunctions of ɛ Ti,e calculated for s = 1.8. . . . . . . . . . . . . . . . . . . . 915.4 Heat transport coefficients versus magnetic shear calculated for ɛ Te,i = 10. 915.5 The main mechanisms for impurity pinch. . . . . . . . . . . . . . . . . . 925.6 The impurity peaking factor effect on the impurity density profile. . . . 935.7 The experimental measurements of the impurity peaking factor and theneoclassical predictions (this figure is taken from the presentation by C.Giroud at 21st IAEA fusion energy conference Chengdu, China 2006). . 94xi