Slow Viscous Flow in a Syringe

[+] Author and Article Information
L. T. Watson, S. C. Billups

Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061

C.-Y. Wang

Departments of Mechanical Engineering and Physiology, Michigan State University, East Lansing, Mich. 48824

E. A. Everett

Department of Computer Science, University of Wisconsin, Madison, Wisc. 53706

J Biomech Eng 108(4), 317-323 (Nov 01, 1986) (7 pages) doi:10.1115/1.3138622 History: Received October 21, 1985; Revised June 18, 1986; Online June 12, 2009


The slow viscous flow in a syringe is modeled by the quasi-steady axisymmetric Stokes equation with a point sink for the needle hole. The governing equations are approximated using nonstandard finite difference formulas optimized for the boundary conditions, and solved numerically using a SOR technique. Streamlines and pressure profiles are computed for a variety of syringe configurations.

Copyright © 1986 by ASME
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