An Application of Mixture Theory to Particulate Sedimentation

[+] Author and Article Information
C. D. Hill, A. Bedford

Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas 78712

D. S. Drumheller

Sandia Laboratories, Albuquerque, New Mex. 87115

J. Appl. Mech 47(2), 261-265 (Jun 01, 1980) (5 pages) doi:10.1115/1.3153652 History: Received July 01, 1979; Revised December 01, 1979; Online July 21, 2009


Equations for two-phase flow are used to analyze the one-dimensional sedimentation of solid particles in a stationary container of liquid. A derivation of the equations of motion is presented which is based upon Hamilton’s extended variational principle. The resulting equations contain diffusivity terms, which are linear in the gradient of the particle concentration. It is shown that the solution of the equations for steady sedimentation is stable under small perturbations. Finally, finite-difference solutions of the equations are compared to the data of Whelan, Huang, and Copley for blood sedimentation.

Copyright © 1980 by ASME
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