On Pulsatile, Non-Newtonian Flow in the Microcirculation.
ResearchPublished 1970
ResearchPublished 1970
In small blood vessels, such as venules, arterioles, and the smaller arteries, the blood flow exhibits solid-like behavior in regions where the shear stress is less than the yield value. The Casson flow equation, originally designed to represent the movement of pigment/oil suspensions such as printing ink, is a fairly realistic model for the flow of blood in venules and arterioles. For such vessels, the frequency parameter is very small, of the order of 10 (exp -2) for a 0.4mm-diameter arteriole. To determine the flow of a Casson fluid under periodic pressure gradient, asymptotic expansions were applied in the square of the frequency parameter, and the simplified equations were then solved numerically. First-order inertial corrections were found to be negligible. The quasi-steady theory is a good approximation of reality, if the yield plane shifts as the pressure changes. (Presented at the 6th Conference of the European Microcirculation Society, Aalborg, Denmark, June 1970.) 13 pp. Ref.
This publication is part of the RAND paper series. The paper series was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.