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Oscillatory flow and mass transport in a curved tube

Published online by Cambridge University Press:  21 April 2006

David M. Eckmann  and
James B. Grotberg
David M. Eckmann
Affiliation:
Biomedical Engineering Department, The Technological Institute, Northwestern University, Evanston, IL 60208, USA and Department of Anesthesia, Northwestern University Medical School, Chicago, IL 60611, USA
James B. Grotberg
Affiliation:
Biomedical Engineering Department, The Technological Institute, Northwestern University, Evanston, IL 60208, USA and Department of Anesthesia, Northwestern University Medical School, Chicago, IL 60611, USA
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Abstract

Transport of soluble material is analysed for volume-cycled oscillatory flow in a curved tube. The equations of motion are solved using a regular perturbation method for small ratio of tube radius to radius of curvature and order unity amplitude over a range of the Womersley parameter. The transport equation is similarly solved by a regular perturbation scheme where uniform steady end concentrations and no wall flux are assumed. The time-average axial transport of solute is calculated. There is substantial modification of transport compared to the straight-tube case and the results are interpreted with respect to pulmonary gas exchange.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 188 , March 1988 , pp. 509 - 527
Copyright
© 1988 Cambridge University Press

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