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RESEARCH PAPERS

Bolus Contaminant Dispersion in Oscillatory Tube Flow With Conductive Walls

[+] Author and Article Information
Yahong Jiang

Department of Engineering Sciences and Applied Mathematics, Robert R. McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL 60208; Department of Anesthesia, Northwestern University Medical School, Chicago, IL 60611

James B. Grotberg

Biomedical Engineering Department, Robert R. McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL 60208; Department of Anesthesia, Northwestern University Medical School, Chicago, IL 60611

J Biomech Eng 115(4A), 424-431 (Nov 01, 1993) (8 pages) doi:10.1115/1.2895507 History: Received May 18, 1992; Revised October 25, 1992; Online March 17, 2008

Abstract

Dispersion of a bolus contaminant in a straight tube with oscillatory flows and conductive walls is solved by using a derivative-expansion method. Using asymptotic methods when small conductance exists, the axial dispersion, as measured by the time-averaged effective diffusivity, increases over the insulated case, as long as the dimensionless frequency (Womersley parameter), α, is smaller than a critical value. When α exceeds this value, axial dispersion is diminished by wall conductance. The functional dependence of this critical α on the system parameters is investigated. We examine the radial wall transport both for total mass and localized flux, which is found to be independent of velocity field, and compute the time-dependent total mass of wall transport and asymptotic Sherwood number for large times as a function of the wall conductance.

Copyright © 1993 by The American Society of Mechanical Engineers
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