Closed, form invariant solutions of convective--diffusive systems with applications to impurity transport

Journal Article · Sat Aug 01 04:00:00 EDT 1992 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860216· OSTI ID:7182441

Mahajan, S M ^[1]; Valanju, P M; Rowan, W L ^[2]

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1. Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)
2. Fusion Research Center, The University of Texas at Austin, Austin, Texas 78712 (United States)

Closed form Green's functions are derived for convective--diffusive systems in cylindrical geometries. They are of the form {ital e}{sup {minus}{alpha}{ital r} {sup 2}}{ital I}{sub 0}({beta}{ital r}), where {ital I}{sub 0} is the modified Bessel function and {alpha} and {beta} depend on time via {ital e}{sup {minus}{ital t}}. 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 the authors' profiles with pulsed impurity injection experiments on the Texas Experimental Tokamak (TEXT) (K. W. Gentle, Nucl. Technol./Fusion {bold 1}, 479 (1981)) is presented.

• DOE Contract Number: FG05-88ER53266
• OSTI ID: 7182441
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 4:8; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330* -- Plasma Kinetics
Transport
& Impurities-- (1992-)
BESSEL FUNCTIONS
CLOSED PLASMA DEVICES
CONFIGURATION
CONVECTION
CYLINDRICAL CONFIGURATION
DIFFUSION
ENERGY TRANSFER
FUNCTIONS
GREEN FUNCTION
HEAT TRANSFER
IMPURITIES
MASS TRANSFER
SLABS
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRANSPORT THEORY