A Perturbation Model for the Oscillatory Flow of a Bingham Plastic in Rigid and Periodically Displaced Tubes-Reference-Cited by-同舟云学术

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

Published:1999-10-01 Issue:5 Volume:121 Page:502-504
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

De Chant L. J.¹

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

http://asmedigitalcollection.asme.org/biomechanical/article-pdf/121/5/502/5680498/502_1.pdf

Reference17 articles.

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2. Aerosty, J., and Gross, J. F., 1971b, “The Mathematics of Pulsatile Flow in Small Blood Vessels. I. Casson Theory,” Rand Corp. Report, R-768-NIH.

3. Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1961, Transport Phenomena, Wiley, New York, pp. 11–47.

4. Bird R. B. , DaiG. C., and YarussoB. J., 1983, “The Rheology of Visco-Plastic Materials,” Reviews in Chemical Engineering, Vol. 1, pp. 1–70.

5. Boresi, A. P., and Chong, K. P., 1987, Elasticity in Engineering Mechanics, Elsevier, New York, pp. 468–477.

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