A Perturbation Model for the Oscillatory Flow of a Bingham Plastic in Rigid and Periodically Displaced Tubes

[+] Author and Article Information
L. J. De Chant

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77840

J Biomech Eng 121(5), 502-504 (Oct 01, 1999) (3 pages) doi:10.1115/1.2835079 History: Received March 12, 1998; Revised April 20, 1999; Online January 23, 2008


An approximate analytical model for the pulsatile flow of an ideal Bingham plastic fluid in both a rigid and a periodically displaced tube has been developed using regular perturbation methods. Relationships are derived for the velocity field and dimensionless flow rate. The solution compares adequately with available experimentally measured oscillatory non-Newtonian fluid flow data. These solutions provide useful analytical models supporting experimental and computation studies of arterial blood flow.

Copyright © 1999 by The American Society of Mechanical Engineers
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