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Please use this identifier to cite or link to this item: http://hdl.handle.net/10386/613

Title: Variable viscosity arterial blood flow: its nature and stability
Authors: Mfumadi, Komane Boldwin
Advisors: Makinde, O.D.
Keywords: Viscosity
Blood flow
Issue Date: 2008
Abstract: Understanding the effects of blood viscosity variation plays a very crucial role in hemodynamics, thrombosis and inflammation and could provide useful information for diagnostics and therapy of (cardio) vascular diseases. Blood viscosity, which arises from frictional interactions between all major blood constituents, i.e. plasma, plasma proteins and red blood cells, constitutes blood inherent resistance to flow in the blood vessel. Generally, blood viscosity in large arteries is lower near the vessel wall due to the presence of plasma layer in this peripheral region than the viscosity in the central core region which depends on the hematocrit. In this dissertation, the flow of blood in a large artery is investigated theoretically using the fluid dynamics equations of continuity and momentum. Treating artery as a rigid channel with uniform width and blood as a variable viscosity incompressible Newtonian fluid, the basic flow structure and its stability to small disturbances are examined. A fourth-order eigenvalue problem which reduces to the well known Orr–Sommerfeld equation in some limiting cases is obtained and solved numerically by a spectral collocation technique with expansions in Chebyshev polynomials implemented in MATLAB. Graphical results for the basic flow axial velocity, disturbance growth rate and marginal stability curve are presented and discussed. It is worth pointing out that, a decrease in plasma viscosity near the arterial wall has a stabilizing effect on the flow.
Description: Thesis (M.Sc. (Applied Mathematics)) -- University of Limpopo, 2008
URI: http://hdl.handle.net/10386/613
Library of Congress Subject Headings: Viscosity
Blood -- Viscosity
Blood flow -- Measurement
Appears in Collections:Theses and Dissertations (Applied Mathematics)

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