A perturbation model for the oscillatory flow of a Bingham plastic in rigid and periodically displaced tubes

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 adequa...

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Bibliographic Details
Published inJournal of biomechanical engineering Vol. 121; no. 5; p. 502
Main Author De Chant, L J
Format Journal Article
LanguageEnglish
Published United States 01.10.1999
Subjects
Blood Flow Velocity
Humans
Models, Cardiovascular
Pulsatile Flow
Rheology
Stress, Mechanical
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Summary: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.
ISSN:0148-0731
1528-8951
DOI:10.1115/1.2835079