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The effect of secondary motion on axial transport in oscillatory tube flow

Published online by Cambridge University Press:  21 April 2006

T. J. Pedley  and
R. D. Kamm
T. J. Pedley
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
R. D. Kamm
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Abstract

In oscillatory flows through systems of branched or curved tubes, Taylor dispersion is modified both by the oscillation and by the induced secondary motions. As a model for this process, We examine axial transport in an annular region containing an oscillatory axial and steady secondary (circumferential) flow. Two complementary approaches are used: an asymptotic analysis for an annulus with a narrow gap (δ) and for large values of the secondary flow Peclet number (P); and a numerical solution for arbitrary values of δ and P. The results exhibit a form of resonance when the secondary-flow time equals the oscillation period, giving rise to a prominent maximum in the transport rate. This observation is consistent with preliminary numerical results for oscillatory flow in a curved tube, and can be explained physically.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 193 , August 1988 , pp. 347 - 367
Copyright
© 1988 Cambridge University Press

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