A Boussinesq Model of a Slurry
The general theory of a nonequilibrium slurry developed by Loper and Roberts  is used as the basis for developing a Boussinesq model of a slurry. This simple model employs the assumptions of constant composition of the solid phase and fast melting, i.e. rapid approach to phase equilibrium. The boundary conditions appropriate for the set of equations is developed. A simple static solution of the set of equations is tested for dynamical stability and is found to be almost always unstable. The mode of instability is new, involving melting and freezing of solid particles as the constraint of the liquidus condition dictates.
KeywordsMushy Zone Stability Diagram Sedimentation Coefficient Compositional Gradient Soret Effect
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