Collect. Czech. Chem. Commun. 1989, 54, 277-283

Reduction of thermodynamic constitutive equations for fluid mixtures using form invariance

Ivan Samohýl

Department of Physical Chemistry, Prague Institute of Chemical Technology, 166 28 Prague 6


Balances of mass, momentum and its moment, energy, and entropy in Truesdell's model of n-constituent mixtures have the property of form invariance: a certain change of primitive properties by means of 2n-1 arbitrary quantities does not cause a change in their form. This arbitrariness can be used to make also the constitutive equations for partial thermodynamic quantities independent of the transport quantities (e.g. on temperature gradients or deformation rates). The classical method of Coleman and Noll used in rational thermodynamics of fluid mixtures namely permits to obtain such an independence with constitutive equations for thermodynamic quantities of mixtures only, and not for the partial quantities.