ON THE TRANSIENT FLOW OF BLOOD IN ARTERIES
Abstract
In this work we analyze the transient blood flow in the arterial system, subjected to arbitrary arterial pressure consisting of two solitons, with application to the thoracic aorta of the dog. The artery is modelled as a highly flexible infinite elastic tube with thin, straight, circular and homogeneous walls embedded in the tissue. It is assumed that blood is an incompressible micropolar fluid. The flow rate, micro-gyration and cross-sectional area are calculated as functions of blood pressure pulse. The effects of increasing of the hematocrit on the magnitude of flow velocity and micro-gyration are analyzed. Seven micropolar viscosity coefficients are introduced as function of the initial particle concentration and are reconstructed by a genetic algorithm based on experimental data.
