[Non-newtonian behavior of blood and parietal shear stress in a Poiseuille flow]. 1995

X Wang, and J F Stoltz
URA CNRS 875-Laboratoire d'Energétique et de Mécanique Théorique et Appliquée, Vandoeuvre-lès-Nancy.

The authors study the blood flow in a cylindrical vessel with the consideration of the non-newtonian behaviour of blood. Supposing that the vessel's diameter and the blood velocity at the centre are known (measurable by a Doppler ultrasound velocimeter), we calculate the velocity profiles, flow rate, wall shear stress and shear rate, with 8 non-newtonian models, by a numerical method which allows us to solve the flow system for any non-newtonian fluid. The numerical results are compared with those obtained for a newtonian fluid which remains the most used model in clinical practice. This work shows the importance of the use of a realistic non-newtonian rheological relationship in the estimation of mechanical factors especially the wall shear stress in blood circulation.

UI MeSH Term Description Entries
D008955 Models, Cardiovascular Theoretical representations that simulate the behavior or activity of the cardiovascular system, processes, or phenomena; includes the use of mathematical equations, computers and other electronic equipment. Cardiovascular Model,Cardiovascular Models,Model, Cardiovascular
D001783 Blood Flow Velocity A value equal to the total volume flow divided by the cross-sectional area of the vascular bed. Blood Flow Velocities,Flow Velocities, Blood,Flow Velocity, Blood,Velocities, Blood Flow,Velocity, Blood Flow
D004730 Endothelium, Vascular Single pavement layer of cells which line the luminal surface of the entire vascular system and regulate the transport of macromolecules and blood components. Capillary Endothelium,Vascular Endothelium,Capillary Endotheliums,Endothelium, Capillary,Endotheliums, Capillary,Endotheliums, Vascular,Vascular Endotheliums
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D012212 Rheology The study of the deformation and flow of matter, usually liquids or fluids, and of the plastic flow of solids. The concept covers consistency, dilatancy, liquefaction, resistance to flow, shearing, thixotrophy, and VISCOSITY. Flowmetry,Velocimetry,Velocimetries
D013314 Stress, Mechanical A purely physical condition which exists within any material because of strain or deformation by external forces or by non-uniform thermal expansion; expressed quantitatively in units of force per unit area. Mechanical Stress,Mechanical Stresses,Stresses, Mechanical

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