Abstract
Closed form Green’s functions are derived for convective–diffusive systems in cylindrical geometries. They are of the form e−αr 2I0(βr), where I0 is the modified Bessel function and α and β depend on time via e−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 1, 479 (1981)] is presented.
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