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Continuum theory of dense rigid suspensions

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Abstract

A continuum theory of rigid suspensions is introduced. Balance laws and constitutive equations of micropolar continuum theory are modified and extended for the characterization of dense rigid suspensions. Thermodynamic restrictions are imposed. The general theory is specialized to the case of dense rigid fiber and spherical suspensions. Dilute suspensions in Newtonian fluids are obtained as special cases. Motions of rigid fiber suspensions in viscometric flows are determined as applications of the theory.

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Eringen, A.C. Continuum theory of dense rigid suspensions. Rheol Acta 30, 23–32 (1991). https://doi.org/10.1007/BF00366791

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  • DOI: https://doi.org/10.1007/BF00366791

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