Simulation and analysis of the effective permittivity for two-phase composite medium

Abstract

Based on the effective medium theory, we calculated the complex effective permittivity of the two-phase composite medium, consisting of circular inclusions embedded in a surrounding host. Results show that the maximum dielectric loss of the composite medium can be obtained by tuning the dielectric properties of the inclusion. This was confirmed by the results in literature. The local high temperature, as a consequence of the local electric field enhancement phenomenon, is the main reason that microwave heating can lead to a dramatic increase in the chemical reaction rate.

Keywords

composite medium / permittivity / microwave

References

[1] Lidström P, Tierney J, Wathey B, . Microwave-assisted organic synthesis - a review. Tetrahedron, 2001, 57(45): 9225-9283

[2] Loupy A, Monteux D, Petit A, . Towards the rehabilitation of the Leuckart reductive amination reaction using microwave technology. Tetrahedron Letters, 1996, 37(45): 8177-8180

[3] Dandia A, Saha M, Taneja H. Synthesis of fluorinated ethyl 4-aryl-6-methyl-1,2, 3,4-tetrahydropyrimidin-2-one/thione-5-carboxylates under microwave irradiation. Journal of Fluorine Chemistry, 1998, 90(1): 17-21

[4] Stadler A, Kappe C O. High-speed couplings and cleavages in microwave-heated, solid-phase reactions at high temperatures. European Journal of Organic Chemistry, 2001, 2001(5): 919-925

[5] Gedye R, Smith F, Westaway K, . The use of microwave ovens for rapid organic synthesis. Tetrahedron Letters, 1986, 27(3): 279-282

[6] Li J D, Shen H, Chen M. Theory of Dielectric Media. Beijing: Science Press, 2003 (in Chinese)

[7] Stadler A, Kappe C O. Microwave-mediated Biginelli reactions revisited. On the nature of rate and yield enhancements. Journal of the Chemical Society. Perkin Transactions, 2000, 2: 1363-1368

[8] Wroe R, Rowley A T. Evidence for a non-thermal microwave effect in the sintering of partially stabilized zirconia. Journal of Materials Science, 1996, 31(8): 2019-2026

[9] Huang M, Peng J H, Yang J J, . A new equation for the description of the dielectric losses under microwave irradiation. Journal of Physics D: Applied Physics, 2006, 39(10): 2255-2258

[10] Xia Z, Huang M, Wu Y F, . Modelling the universal dielectric response in heterogeneous materials using 3-D RC networks. Acta Physica Sinica, 2008, 57(2): 957-961 (in Chinese)

[11] Niu H, Peng J H , Wei C, . Research on microwave-absorbing characteristics of mixtures of different proportions of carbonaceous reducer and zinc-kiln slag in microwave field. Journal of Sichuan University (Engineering Science Edition), 2007, 39(6): 96-101 (in Chinese)

[12] Huang M Y, Peng J H, Huang M, . Microwave-absorbing characteristics of mixtures about different proportions of carbonaceous reducer and ilmenite in microwave field. The Chinese Journal of Nonferrous Metals, 2007, 17(3): 467-480 (in Chinese)

[13] Huang M Y, Peng J H, Lei Y, . The temperature rise behavior and microwave-absorbing characteristics of ilmenite concentrate in microwave field. Journal of Sichuan University (Engineering Science Edition), 2007, 39(2): 111-115 (in Chinese)

[14] Mejdoubi A, Brosseau C. Intrinsic resonant behavior of metamaterials by finite element calculations. Physical Review B, 2006, 74(16): 165424-165432

[15] Sareni B, Krähenbühl L, Beroual A. Complex effective permittivity of a lossy composite material. Journal of Applied Physics, 1996, 80(8): 4560-4565

[16] Jylhä L, Sihvola A. Equation for the effective permittivity of particle-filled composites for material design applications. Journal of Physics D: Applied Physics, 2007, 40(16): 4966-4973

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 60861002), the State Key Program of National Natural Science of China (Grant No. 50734007), Research Foundation from Ministry of Education of China (Grant No. 208133), the Natural Science Foundation of Yunnan Province (Grant No. 2007F005M), Research Foundation of Education Bureau of Yunnan Province (Grant No. 07Z10875), and the Training Program of Yunnan Province for Middle-aged and Young Leaders of Disciplines in Science and Technology (Grant No. 2008PY031).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg