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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jin, Q.H., Dai, S.S., Huang, K.M.: Microwave Chemistry. Sciences Press, Beijing (1999)
Gedye, R.J., Smith, F., Westaway, K., Ali, H., Baldisera, L., Laberge, L., Rousell, J.R.: The use of microwave ovens for rapid organic synthesis. Tetrahedron Lett. 27, 279–282 (1986)
Jarvis, J.B., Inguva, R.: Dielectric heating of oilshales by monopoles and modified coaxial applicators. J. Microw. Power Electromagn. Energy 23, 160–170 (1988)
Chen, M., Hellgeth, J.W., Siochi, E.J., Ward, T.C., Mcgrath, J.E.: The microwave process ability of semicrystalline polymers. Polym. Eng. Sci. 33, 1122–1131 (1993)
Huang, K.M., Yang, X.Q.: A method for calculating the effective permittivity of a mixture solution during a chemical reaction by experimental results. Pier Lett. 5, 99–107 (2008)
Daniels, F., Alberty, R.A., Williams, J.W., Cornwell, C.D., Bender, P., Harriman, J.E.: Experimental Physical Chemistry. McGraw-Hill, New York (1975)
Levenspiel, O.: Chemical Reaction Engineering. Wiley, New York (1999)
Crockford, H.D., Nowell, J.W., Baird, H.W., Getzen, F.W.: Laboratory Manual of Physical Chemistry, 2nd edn. Wiley, New York (1975)
Acknowledgments
This project was supported by the National Science Foundation of China under Grant No. 60871064 and No. 61001019.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhu, HC., Yang, XQ. & Huang, KM. The Effective Permittivity of Reacting Mixture Solutions for Multiphysics Calculations. J Solution Chem 41, 1729–1737 (2012). https://doi.org/10.1007/s10953-012-9902-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10953-012-9902-8