Abstract
The dispersion of a diffusing substance along a channel or pipe is augmented if the channel walls (resp. pipe wall) are moving in the lateral direction. The fluid in the present theoretical investigation is supposed to be inviscid. The longitudinal dispersion enhancement is evaluated analytically and the expressions for various movements of the walls are given in simple formulas.
Zusammenfassung
In der vorliegenden Arbeit wird die Dispersion einer flüssigen Substanz in einem symmetrischen Kanal studiert, dessen ebene Wände sich in der vertikalen Richtung bewegen. Es zeigt sich, daß die longitudinale Dispersion damit vergrößert wird. Die Flüssigkeit wird als reibungsfrei angenommen. Die Lösung wird in analytischer Form dargestellt und an verschiedenen Bewegungen der Kanalwände angewendet. Die Lösung wurde auch für den achsensymmetrischen Fall erweitert.
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In memoriam Prof. Erich Leiter, Technical University of Vienna, Austria
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Tsangaris, S. Longitudinal dispersion in a duct with moving walls. Journal of Applied Mathematics and Physics (ZAMP) 37, 895–909 (1986). https://doi.org/10.1007/BF00953679
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DOI: https://doi.org/10.1007/BF00953679