Blood flow through an axisymmetric stenosis. 2001

G Pontrelli
Istituto per le Applicazioni del Calcolo-CNR, Viale del Policlinico, 137, 00161 Roma, Italy.

This paper studies a steady axisymmetric flow in a constricted rigid tube. A shear-thinning fluid modelling the deformation-dependent viscosity of the blood is proposed. The motion equation is written in vorticity-streamfunction formulation and is solved numerically by a finite difference scheme. The flow pattern with the distributions of pressure and shear stress at the wall are computed. The dependence of the flow on the dimensionless parameters has been investigated and differences from the Newtonian case are discussed.

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
D012039 Regional Blood Flow The flow of BLOOD through or around an organ or region of the body. Blood Flow, Regional,Blood Flows, Regional,Flow, Regional Blood,Flows, Regional Blood,Regional Blood Flows
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
D003251 Constriction, Pathologic The condition of an anatomical structure's being constricted beyond normal dimensions. Stenosis,Stricture,Constriction, Pathological,Pathologic Constriction,Constrictions, Pathologic,Pathologic Constrictions,Pathological Constriction,Stenoses,Strictures
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D001157 Arterial Occlusive Diseases Pathological processes which result in the partial or complete obstruction of ARTERIES. They are characterized by greatly reduced or absence of blood flow through these vessels. They are also known as arterial insufficiency. Arterial Obstructive Diseases,Arterial Occlusion,Arterial Obstructive Disease,Arterial Occlusions,Arterial Occlusive Disease,Disease, Arterial Obstructive,Disease, Arterial Occlusive,Obstructive Disease, Arterial,Occlusion, Arterial,Occlusive Disease, Arterial
D001696 Biomechanical Phenomena The properties, processes, and behavior of biological systems under the action of mechanical forces. Biomechanics,Kinematics,Biomechanic Phenomena,Mechanobiological Phenomena,Biomechanic,Biomechanic Phenomenas,Phenomena, Biomechanic,Phenomena, Biomechanical,Phenomena, Mechanobiological,Phenomenas, Biomechanic
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
D014783 Viscosity The resistance that a gaseous or liquid system offers to flow when it is subjected to shear stress. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Viscosities
D017711 Nonlinear Dynamics The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos. Chaos Theory,Models, Nonlinear,Non-linear Dynamics,Non-linear Models,Chaos Theories,Dynamics, Non-linear,Dynamics, Nonlinear,Model, Non-linear,Model, Nonlinear,Models, Non-linear,Non linear Dynamics,Non linear Models,Non-linear Dynamic,Non-linear Model,Nonlinear Dynamic,Nonlinear Model,Nonlinear Models,Theories, Chaos,Theory, Chaos

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