Abstract
Theoretical results from the field of suspension rheology are studied in the general context of nonlinear continuum mechanics, in order to extract information regarding the formulation of a phenomenological stress relation to model non-Newtonian fluids. The constitutive equations obtained for dilute suspensions of solid ellipsoids, elastic spheres and liquid droplets are shown to conform to a single phenomenological model first proposed by Hand, which emerges as an equation with considerable physical basis and potential usefulness. Furthermore, in all of the above three cases, certain coefficients in Hand's equation are found to retain the same sign. This result may apply more generally and possibly have some interesting implications.
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