Publikacje

Abstract:

Blood flow rate is a crucial factor in transporti ng an oxygen and depends on several parameters like heart pressure, blood properties like d ensity and vi scosity, frictional loss an d diameter and shape of vein. Frictional loss is a main challenge of current engin eering. Therefore, sim ulation of dep endence of blood properties on frictional loss is very important. When blood properties are considered the first step is to find proper rheological model. It is well kno wn that human blood demonstrates a yield shear stress. Therefore, the research is fo cused on si mulating frictional losses in a turbulent flow of hu man blood, which dem onstrates a yield stress. Three arbitra rily chosen rheological models were considered, namely Bingham, Casson and Herschel-Bulkley. Governing equations describing turbulent blood flow were developed to axially symmetrical an aorta. The mathematical model constitutes three partial differential equations, namely momentum equation, kinetic energy of turbulence and its dissipation rate. The main objective of the research is examining influence of the y ield shear stress on frictional losses in a h uman blood in an aorta when flow b ecomes turbulent. Simulation of blood flow confirm ed marginal influence of a yield shear stress on frictional losses when flow becomes turbulent. Results of simulations are discussed and final conclusions are stated.

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Simulations of frictional losses in a turbulent blood flow using three rheological models