The Effective Permittivity of Reacting Mixture Solutions for Multiphysics Calculations

Abstract

Huang and Yang (PIER Lett. 5: 99–107, 2008) proposed a method based on experimental results to calculate the effective permittivity of liquid reacting mixture solutions. The method cannot be directly applied to multiphysics calculations for microwave heating on chemical reactions, because the derived formula of effective permittivity is a function of the reaction time. In this paper, we improve the method to obtain the effective permittivity as a function of the reactants’ concentrations and temperature by numerical fitting. Thus, the formula can be directly used for multiphysics calculation. Three measured effective permittivity curves for the iodination of acetone reaction under constant temperature were used to calculate the corresponding coefficients of the method at both 915–2,450 MHz. The results calculated by the coefficients are in satisfactory agreement and approach the measured results.