Theory of Blood Rheology Based on a Statistical Mechanics Treatment of Rouleaux, and Comparisons with Data

摘要

A constitutive equation for the rheology of blood is obtained from the view of blood as a suspension of rouleaux (erythrocyte aggregates), with the rouleaux idealized aselasticcylinders. Properties depend on the distribution of rouleaux lengths, which is related to the state of cell aggregation and characterized by a structural distribution function. A kinetic equation is developed to describe the balance of aggregation/disaggregation phenomena. The result is a structure-dependent Maxwell model for the stress tensor, with viscosity and relaxation time linearly related to a structure parameter. Comparisons with data are shown and discussed.