Laminar Flow and Blood Oxygenation in Channels With Boundary Irregularities

[+] Author and Article Information
J. C. F. Chow, K. Soda

Department of Energy Engineering, University of Illinois at Chicago Circle, Chicago, Ill.

J. Appl. Mech 40(4), 843-850 (Dec 01, 1973) (8 pages) doi:10.1115/1.3423173 History: Received September 01, 1972; Revised March 01, 1973; Online July 12, 2010


To understand the abnormal flow conditions caused by the boundary irregularities in diseased vessels, an analytical solution is obtained for the steady laminar flow of an incompressible Newtonian fluid in a channel with irregular surfaces where the spread of the surface roughness is large compared to the mean width of the channel. The hydrodynamic solution is then used to obtain the effects of wall roughness upon the blood oxygenation in a membrane oxygenator. The effects of various pertinent parameters upon the flow field, energy loss, and oxygen concentration, and possible occurrence of separation and reattachment are examined for symmetric and nonsymmetric channels with sinusoidal variation. It is found that when the blood is assumed to behave like a homogeneous fluid the wall irregularity has a strong effect on local oxygen concentration distribution, but has little effect on the saturation length. The saturation length is found to be of the order of 3/2 (1 + FS0 /P0 )Re Sc d for a channel with, or without, wall irregularity. Therefore, the secondary flows induced by the cell-plasma and cell-cell interaction is more likely the primary mechanism for a vast increase in oxygenation efficiency using wavy channels reported by Kolobow, et al.

Copyright © 1973 by ASME
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