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Section

Mathematics and Computational Sciences

Abstract

The thermodynamically admissibility of a Reiner-Rivlin fluid undergoing a two dimensional axisymmetric flow process has been investigated analytically. The Clausius-Duhem inequality shows dependence of the viscosity coefficients on kinematical quantities, hence no general restrictions can be made on the non-Newtonian viscosity coefficient. However specific restrictions have been made by considering a cubic degree fluid. It is concluded that the rheological equation of state is an approximate model of the constitutive behavior of a real fluid and that the thermodynamic consistency of a flow process can basically be proved numerically.

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