In this study, we extend a thermodynamic framework that has been used with some success for describing the response of a variety of single constituent continua. Using the thermodynamic framework, we obtain a model for the mixture of two compressible fluids that has a much simpler structure than the model obtained earlier within the context of mixture theory.
We also investigate the response of a mixture of two fluids that is constrained to have a constant volume, using the same thermodynamic framework.