Abstract

Applicability of a strain-dependent (S-type) constitutive equation was examined for flow properties of a polystyrene solution in diethyl phthalate. Viscoelastic quantities studied were the relaxation modulus G (t, s), transient stresses at the start and cessation of steady shear flow, and the steady shear viscosity η(κ). Here t is the time, s is the magnitude of shear, and κis the rate of shear. All these quantities were measured with rheometers of cone-and-plate type. The memory function for the S-type equation was determined from experimental results on G(t, s) and therefrom were calculated the stresses associated with steady shear flow. Calculated results were in good agreement with the observed over whole range of rate of shear investigated. The capability of the S-type equation was compared with that of a rate-dependent (R-type) constitutive equation on the basis of present results and some published results. It was concluded that the S-type equation is very useful in some types of flow including steady shear flow and the type of flow for measurement of relaxation modulus.

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