A Simple Mathematical Model of a Slurry

  • David E. Loper
  • Paul H. Roberts
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 9)


A slurry is defined here as a liquid containing solid particles in suspension. These particles are the solid phase which freezes from the liquid; they can melt or additional liquid can freeze as local conditions warrant. The absorption or release of latent heat as the particles melt or freeze causes the system to act as if it had an enhanced specific heat. Also the solid particles may rise or sink through the liquid under the action of gravity depending on whether they are lighter or heavier than the liquid. If solid forms at one level, releasing latent heat, and then migrates vertically and melts, absorbing latent heat, the net effect is a vertical transport of heat in the direction opposite to the motion of the solid. This is equivalent to the heat-pipe effect.


Latent Heat Specific Volume Buoyancy Effect Simple Mathematical Model Effective Coefficient 


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  1. Loper, D. E., and Roberts, P. H., “On the motion of an iron-alloy core containing a slurry I. General theory,” Geophys. Astrophys. Fluid Dyn., 9, 289–321 (1978).MATHCrossRefGoogle Scholar
  2. Loper, D. E., and Roberts, P. H., “A Bousinesq model of a slurry,” in Structure and Dynamics of Partially Solidified Systems, D. E. Loper, ed., Martinus-Nijhoff, xxx-xxx (1987).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • David E. Loper
    • 1
  • Paul H. Roberts
    • 2
  1. 1.Department of MathematicsFlorida State UniversityTallahasseeUSA
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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