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Diffusion in oscillatory pipe flow

Published online by Cambridge University Press:  20 April 2006

E. J. Watson
E. J. Watson
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

The rate of mass transfer of a diffusing substance along a pipe is augmented by an oscillatory motion of the ambient fluid in the pipe. The increase of the flux is evaluated for the cases of a circular pipe and of a two-dimensional channel. Results are given for a general cross-section in the limiting cases of slow and fast oscillations of the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 233 - 244
Copyright
© 1983 Cambridge University Press

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References

Bowden, K. F. 1965 Horizontal mixing in the sea due to a shearing current J. Fluid Mech. 21, 83.Google Scholar
Chatwin, P. C. 1975 On the longitudinal dispersion of passive contaminant in oscillatory flows in tubes J. Fluid Mech. 71, 513.Google Scholar
Farrell, D. A. & Larson, W. E. 1973 The effect of fluctuations in fluid velocity on hydrodynamic dispersion Water Resources Res. 9, 173.Google Scholar
Joshi, C. H., Kamm, R. D., Drazen, J. M. & Slutsky, A. S. 1983 An experimental study of gas exchange in laminar oscillatory flow J. Fluid Mech. 133, 245.Google Scholar
Smith, R. 1982 Contaminant dispersion in oscillatory flows J. Fluid Mech. 114, 379.Google Scholar
Stairmand, J. W. 1983 Dispersion in oscillatory laminar flow in a flat channel, and experimental investigation of dispersion in oscillatory flows (Private communication).
Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A219, 186 (In Scientific Papers, vol. 4, p. 225).Google Scholar
Watson, G. N. 1944 Theory of Bessel functions. Cambridge University Press.