Modeling the permittivity of liquid mixtures

A new model for the dielectric constant of a mixture of two or more liquids has been developed by considering a generalized approach towards modelling . A new property of liquid mixtures which is noninteractive and distributiv e has been defined. The Taylor expansion of this new property and subsequen t use of the Fade approximant has generated the parametric expression for t he new property which has been used to develop a dielectric mixture model. In order to substantiate the model the measurement of complex permittivity of a condensed milk and water mixture at different concentrations and frequ encies between 0.6 to 3 GHz has been carried out. Electrical conductivity o f a condensed milk and water mixture has also been measured at different co ncentrations. The model has been compared with the experimental data of the present investigation and some published data. The agreement between the t heoretical results and experimental values is good. The generalized mixture model developed in this paper is shown to work better than some available alternatives.