Slow Particulate Viscous Flow in Channels and Tubes—Application to Biomechanics

[+] Author and Article Information
P. Tong

Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Mass.

Y. C. Fung

Department of Bioengineering and Applied Mechanics, University of California at San Diego, La Jolla, Calif.

J. Appl. Mech 38(4), 721-728 (Dec 01, 1971) (8 pages) doi:10.1115/1.3408947 History: Received August 15, 1969; Revised October 02, 1970; Online July 12, 2010


A formulation of the finite-element method for both two-dimensional and axisymmetric slow viscous flow is presented. Its application to flow of large particles in a channel or a circular cylindrical tube is discussed. The particles are assumed to be disk-shaped and are disposed axisymmetrically in the tube. The velocity profiles, the pressure gradient, and the shear stress on the wall are determined as functions of kinematic parameters. The conditions are selected to represent an idealization of the motion of red blood cells and plasma in capillary blood vessels.

Copyright © 1971 by ASME
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