A Theory of Oriented Fluids

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Abstract
The development of a theory for the mechanical behavior of a fluid with deforming substructure is considered. Conservation laws appropriate for a class of oriented fluids, at each point of which are associated three deformable directors, are derived and discussed, and constitutive equations relevant to this class of fluids are given. These equations are then applied to study the behavior of dilute suspensions of both rigid and deformable substructure particles. It is shown that some of the results obtained by previous authors can be derived in a simple manner.

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