Methods in the analysis of the effects of gravity and wall properties in blood flow through vascular systems
Journal
Biomechanical Systems Technology: Cardiovascular Systems
Pages
207-232
Date Issued
2007
Author(s)
Abstract
Simple one-dimensional models of blood flow are widely used in simulating the transport of blood around the human vasculature. However, the effects of gravity have only been previously examined briefly and the effects of changes in wall properties and their interaction with gravitational forces have not been investigated. Here the effects of both gravitational forces and local changes in wall stiffness on the one-dimensional flow through axisymmetric vessels are studied. The governing fluid dynamic equations are derived from the Navier-Stokes equations for an incompressible fluid and linked to a simple model of the vessel wall, derived here from an exponential stress-strain relationship. A closed form of the hyperbolic partial differential equations is found. The flow behavior is examined in both the steady state and for wave reflection at a junction between two sections of different wall stiffness. A significant change in wave reflection coefficient is found under the influence of gravity, particularly at low values of baseline non-dimensional wall stiffness. ? 2007 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
Subjects
Blood
Fluid dynamics
Gravitation
Hemodynamics
Stiffness
Stress-strain curves
Blood flow
Fluid dynamic equations
Hyperbolic partial differential equation
One-dimensional model
Stress-strain relationships
Vascular system
Wall properties
Wave reflection coefficient
Navier Stokes equations
SDGs
Type
book part