Coupled 3—D Finite Difference Time Domain and Finite Volume Methods for Solving Microwave Heating in Porous Media

  • Duško D. Dinčov
  • Kevin A. Parrott
  • Koulis A. Pericleous
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2329)


Computational results for the microwave heating of a porous material are presented in this paper. Combined finite difference time domain and finite volume methods were used to solve equations that describe the electromagnetic field and heat and mass transfer in porous media. The coupling between the two schemes is through a change in dielectric properties which were assumed to be dependent both on temperature and moisture content. The model was able to reflect the evolution of temperature and moisture fields as the moisture in the porous medium evaporates. Moisture movement results from internal pressure gradients produced by the internal heating and phase change.


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  1. 1.
    Ayappa, K.G., Davis, H.T., Davis, E.A., Gordon J.: Analysis of Microwave Heating of Materials with Temperature-Dependent Properties. AEChE Journal 37 (1991) 313–322CrossRefGoogle Scholar
  2. 2.
    Bear, J.: Dynamics of Fluids in Porous Media. Dover Publications, New York (1998)Google Scholar
  3. 3.
    Jia, X., Jolly, P.: Simulation of microwave field and power distribution in a cavity by a three dimensional finite element method. Journal of Microwave Power and Electromagnetic Energy 27 (1992) 11–22Google Scholar
  4. 4.
    Kent, M.: Electrical and Dielectric Properties of Food Materials. Science and Technology Publishers Ltd, England,(1987)Google Scholar
  5. 5.
    Metaxas, A.C., Meredith, R.J.: Industrial Microwave Heating. IEE Power Engineering Series, 4 (1983)Google Scholar
  6. 6.
    Monk, P.: Sub-Gridding FTDT Schemes. ACES Journal 11 (1996) 37–46Google Scholar
  7. 7.
    Monk, P., Suli, E.: Error estimates for Yee’s method on non-uniform grids. IEEE Transactions on Microwave Theory and Techniques 30 (1994)Google Scholar
  8. 8.
    Ni, H., Datta, A.K., Torrance, K.E.: Moisture transport in intensive microwave heating of biomaterials: a multiphase porous media model. Int. J. of Heat and Mass Transfer 42 (1999) 1501–1512MATHCrossRefGoogle Scholar
  9. 9.
    Perre, P., Turner, I.W.: A 3-D version of TransPore: a comprehensive heat and mass transfer computational model for simulating the drying of porous media. Int. J. of Heat and Mass Transfer 42 (1999) 4501–4521MATHCrossRefGoogle Scholar
  10. 10.
    PHOENICS code,CHAM ltd, Wimbledon (
  11. 11.
    Torres, F., Jecko, B.: Complete FTDT Analysis of Microwave Heating Process in Frequency-Dependent and Temperature-Dependent Media. IEEE Transactions on Microwave Theory and Techniques 45 (1997) 108–117CrossRefGoogle Scholar
  12. 12.
    Turner, I., Jolly, P..: The effect of dielectric properties on microwave drying kinetics. Journal of Microwave Power and Electromagnetic Energy 25 (1990) 211–223Google Scholar
  13. 13.
    Yee, K.S.: Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propag., 14 (1996) 302–307Google Scholar
  14. 14.
    Zhao, L., Puri, V.M., Anantheswaran, G., Yeh, G.: Finite Element Modelling of Heat and Mass Transfer in Food Materials During Microwave Heating-Model Development and Validation. Journal of Food Engineering 25 (1995) 509–529CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Duško D. Dinčov
    • 1
  • Kevin A. Parrott
    • 1
  • Koulis A. Pericleous
    • 1
  1. 1.School of Computing and Mathematical SciencesUniversity of GreenwichLondon

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