The Mathematics of Pulsatile Flow in Small Vessels: I. Casson Theory.

by Jerry Aroesty, Joseph Francis Gross

Purchase

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback32 pages $20.00 $16.00 20% Web Discount

Primarily a mathematical analysis of the Casson model of blood rheology, in which the fluid possesses finite yield stress and shear-dependent viscosity when it is subjected to a periodic pressure gradient in a long, rigid tube. In this report, the fluid is applied under pulsatile pressure conditions, assuming a low-viscosity plasma wall layer and a Casson core. The coupled nonlinear equations of motion and constitutive relations are nondimensionalized, and solutions valid for small tubes are derived by perturbation analysis. The inertial or time effects are shown to be negligible for conditions of physiological relevance. Thus, blood flow in the larger arterioles and capillaries can be accurately approximated by the quasi-steady solution, despite its pulsatility. (See also R-767, R-769, RM-6214.) 32 pp. Ref.

This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.

The RAND Corporation 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.