Modeling the Permittivity of Liquid Mixtures

Abstract

A new model for the dielectric constant of a mixture of two or more liquids has been developed by considering a r;circratized approach towards modelling. A new property of liquid mixtures which is noninteractive and distributivc, has been defined. The Taylor expansion of this new property and subsequent use of the Fade approximant has generated the parametric expression lot-the 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 frequencies between 0.6 to 3 GHz has been carried out. Electrical conductivity of a condensed milk and water mixture has also been measured at different concentrations. The model has been compared with the experimental data of the present investigation and some published data. The agreement between the theoretical results and experimental values is good. The generalized mixture model developed in this paper is shown to work^- better than some available alternatives.

Key Words:

• Dielectric constant
• Dielectric loss
• Electrical conductivity
• Mixture model
• Pade approximant
• permittivity

Additional information

Notes on contributors

K.P. Thakur

Kailash P. Thakur, Ken J. Cresswell, Mirjana Bogosanovich, and Wayne S. Holmes are affiliated with the Microwave Engineering group of Imaging and Sensing Team, Industrial Research Li:clited, 24 Balfour Road, P0 Box 2225, Parnell, Auckland, New Zealand

K. J. Cresswell

Kailash P. Thakur, Ken J. Cresswell, Mirjana Bogosanovich, and Wayne S. Holmes are affiliated with the Microwave Engineering group of Imaging and Sensing Team, Industrial Research Li:clited, 24 Balfour Road, P0 Box 2225, Parnell, Auckland, New Zealand

M. Bogosanovich

Kailash P. Thakur, Ken J. Cresswell, Mirjana Bogosanovich, and Wayne S. Holmes are affiliated with the Microwave Engineering group of Imaging and Sensing Team, Industrial Research Li:clited, 24 Balfour Road, P0 Box 2225, Parnell, Auckland, New Zealand

W. S. Holmes

Kailash P. Thakur, Ken J. Cresswell, Mirjana Bogosanovich, and Wayne S. Holmes are affiliated with the Microwave Engineering group of Imaging and Sensing Team, Industrial Research Li:clited, 24 Balfour Road, P0 Box 2225, Parnell, Auckland, New Zealand