Mathematical analysis of the hysteresis rheogram of human blood

Document Type

Article

Publication Date

12-1-1980

Abstract

Human blood is a thixotropic fluid whose apparent viscosity is a function of the shear rate and the duration of shear. One of the most important characteristics of human blood is that its rheogram of shear stress versus shear rate exhibits a hysteresis loopl. This hysteresis loop is obtained from a plot of shear versus shear rate in which the shear rate is steadily and linearly increased to a maximum value and then immediately decreased at the same rate toward the starting value. Recently, hysteresis loop analysis has been used to characterize the thixotropic behavior of human blood. In this paper, we obtain an analytical solution of the Navier-Stokes equation for the case of transient flow in a Couette viscometer under the conditions of a ramp function angular velocity. This ramp funtion is used to generate the hysteresis loop rheogram. Analysis of the solution shows that it is possible for a Newtonian fluid ro exhibit a hysteresis loop under certain experimental conditions. The size and shape of this generated loop was found to be controlled by a dimensionless group. From this analysis, we are able to determine the true hysteresis loop for human blood. Our analysis can also be used to detect and eliminate the presence of any artificial hysteresis loops generated by Newtonian fluids.

Identifier

0019255587 (Scopus)

Publication Title

Biorheology

ISSN

0006355X

PubMed ID

7260351

First Page

391

Last Page

396

Issue

4

Volume

17

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