Form invariance in convective-diffusive systems with applications to impurity transport
Technical Report
·
OSTI ID:5370904
- Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
- Texas Univ., Austin, TX (United States). Fusion Research Center
Simple, closed from Green's functions are derived for convective- diffusive systems in slab and cylindrical geometries. In slab geometry, they are Gaussian, while in cylindrical geometry, they are of the form e {sup {minus}ar2} I{sub 0}({beta}r), where I{sub 0} is the modified Bessel function, and {alpha} and {beta} depend on time via e {sup {minus}t}. Time dependent profiles resulting from various pulsed and oscillatory sources can be obtained using these Green's functions. These solutions can be used to model a variety of time dependent transport experiments such as pulsed impurity transport, oscillating gas puff, perturbative RF heating, and sawtooth heat pulse propagation. A successful comparison of our profiles with pulsed impurity injection experiments on TEXT is presented. 4 refs., 1 fig.
- Research Organization:
- Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 5370904
- Report Number(s):
- DOE/ET/53088-514; IFSR--514; ON: DE91018422
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
ANALYTICAL SOLUTION
BESSEL FUNCTIONS
CHARGED PARTICLES
CHARGED-PARTICLE TRANSPORT
CLOSED PLASMA DEVICES
CONFIGURATION
CONVECTION
CYLINDRICAL CONFIGURATION
DIFFUSION
ENERGY TRANSFER
FUNCTIONS
GREEN FUNCTION
HEAT TRANSFER
IMPURITIES
IONS
LAGRANGIAN FUNCTION
MASS TRANSFER
PLASMA IMPURITIES
RADIATION TRANSPORT
SCANDIUM IONS
TEXT DEVICES
THERMONUCLEAR DEVICES
TIME DEPENDENCE
TOKAMAK DEVICES
700103* -- Fusion Energy-- Plasma Research-- Kinetics
ANALYTICAL SOLUTION
BESSEL FUNCTIONS
CHARGED PARTICLES
CHARGED-PARTICLE TRANSPORT
CLOSED PLASMA DEVICES
CONFIGURATION
CONVECTION
CYLINDRICAL CONFIGURATION
DIFFUSION
ENERGY TRANSFER
FUNCTIONS
GREEN FUNCTION
HEAT TRANSFER
IMPURITIES
IONS
LAGRANGIAN FUNCTION
MASS TRANSFER
PLASMA IMPURITIES
RADIATION TRANSPORT
SCANDIUM IONS
TEXT DEVICES
THERMONUCLEAR DEVICES
TIME DEPENDENCE
TOKAMAK DEVICES