The solution of the equations for two‐phase flow which models the steady sedimentation of a uniform distribution of particles in a liquid has been shown to be unstable to small perturbations. It is shown that when a diffusivity term (a force on the particles which is linear in the gradient of the particle concentration) with sufficiently large coefficient is included, the solution is stable and, furthermore, the equations are hyperbolic.
REFERENCES
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S. L. Soo, Fluid Dynamics of Multiphase Systems (Blaisdell, Waltham, Mass., 1967).
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G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
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R. Aris and N. R. Amundson, Mathematical Methods in Chemical Engineering (Prentice‐Hall, Englewood Cliffs, N.J., 1973), Vol. 2, Chap. 8.
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© 1979 American Institute of Physics.
1979
American Institute of Physics
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