Skip to main content
Log in

Investigation of the radiofrequency heating of anisotropic dielectric materials with a phase change: application to frozen Douglas-fir and white oak woods

  • Original
  • Published:
Wood Science and Technology Aims and scope Submit manuscript

Abstract

Dielectric heating is a promising process for the uniform sterilization of food products as well as for the drying of products. However, radio frequency heating of wood-based materials (a highly anisotropic material with temperature, moisture and structural orientation dependent properties) does not seem to be elucidated in the literature. It is within this framework that this study is carried out and concerns the modeling of anisotropic dielectric heating by radio frequency (RF) and its application to the thawing of frozen wood. The nonlinear heat conduction problem involving phase changes is formulated in terms of volume enthalpy. For the numerical resolution of the thermal conduction equation, the finite element method is considered. Thermophysical and dielectric properties are expressed as a function of temperature, moisture content (MC), and structural orientation. The numerical approach is further validated by a combination of the analytical, numerical and experimental analyses. Finally, the effect of RF on the thawing of the Douglas-fir (Pseudotsuga menziesii) and the white oak (Quercus alba), which are two North American wood species, was studied based on an initial temperature of − 20 °C and a frequency of 50 MHz. In this regard, two MC of 65% and 90% are considered. For the two species of the studied wood, it is observed that the RF induce a uniform temperature profile.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

References

  • Annasabi Z, Erchiqui F (2020) 3D hybrid finite elements for anisotropic heat conduction in a multimaterial with multiple orientations of the thermal conductivity tensors. Int J Heat Mass Transf. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119795

    Article  Google Scholar 

  • Asencor FJ, Panizo M (1992) Finite-difference operators in anisotropic inhomogeneous dielectrics: general case. J Comput Phys 95(2):387–399

    Article  Google Scholar 

  • Bhattacharya M, Basak T, Ayappa KG (2002) A fixed-grid finite element based enthalpy formulation for generalized phase change problems: role of superficial mushy region. Int J Heat Mass Transf 45:4881–4898

    Article  CAS  Google Scholar 

  • Bunge CA, Gries T, Beckers M (eds) (2017) Polymer optical fibres. Woodhead Publishing, Sawston. https://doi.org/10.1016/C2014-0-00562-X

    Book  Google Scholar 

  • Bunget I, Popescu M (1984) Physics of solid dielectrics. Elsevier, New York

    Google Scholar 

  • Burch JB, Clark M, Yost MG, Fitzpatrick Cole TE, Bachand AM, Ramaprasad J, Reif JS (2006) Radio frequency non-ionizing in a community exposed to radio and TV broadcasting. Environ Health Perspect 114(2):248–253

    Article  Google Scholar 

  • Chandrasekaran S, Ramanathan S, Basak T (2012) Microwave material processing—a review. AIChE J 58:330–363

    Article  CAS  Google Scholar 

  • Chen Hollis C (1983) Theory of electromagnetic waves: a coordinate-free approach. McGraw-Hill, Blacklick

    Google Scholar 

  • Coleman CJ (1990) The microwave heating of frozen substances. Appl Math Model 14:439–440

    Article  Google Scholar 

  • Dokainish MA, Subbraj K (1989) A survey of direct time-integration methods in computational structural dynamics-II. Implicit methods. Comput Struct 32:1371

    Article  Google Scholar 

  • Erchiqui F (2013) Analysis of power formulations for numerical thawing frozen wood using microwave energy. Chem Eng Sci 98:317–330

    Article  CAS  Google Scholar 

  • Erchiqui F (2014) Analysis and evaluation of power formulations for wood and hardboard using radio frequency and microwave energy. Drying Technol 32(8):946–959

    Article  CAS  Google Scholar 

  • Erchiqui F, Annasabi Z (2019) 3D hybrid finite element enthalpy for anisotropic thermal conduction analysis. Int J Heat Mass Transf 136:1250–1264

    Article  Google Scholar 

  • Erchiqui F, Annasabi Z, Koubaa A, Slaoui-Hasnaoui F, Kaddami H (2013) Numerical modelling of microwave heating of frozen wood. Can J Chem Eng 91(9):1582–1589

    Article  CAS  Google Scholar 

  • Erchiqui F, Annasabi Z, Souli M, Slaoui-Hasnaoui F (2015) 3D numerical analysis of the thermal effect and dielectric anisotropy on thawing frozen wood using microwave energy. Int J Therm Sci 89:58–78

    Article  Google Scholar 

  • Erchiqui F, Kaddami H, Slaoui-Hasnaoui F, Koubaa A (2020a) 3D finite element enthalpy method for analysis of phytosanitary treatment of, wood by microwave. Eur J Wood Prod 78:577–591

    Article  CAS  Google Scholar 

  • Erchiqui F, Kaddami H, Dituba-Ngoma G, Slaoui-Hasnaoui F (2020b) Comparative study of the use of infrared and microwave heating modes for the thermoforming of wood-plastic composite sheets. Int J Heat Mass Transf 158:996. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119996

    Article  CAS  Google Scholar 

  • Fu Z, Avramidis S, Weng X, Cai Y, Zhou Y (2019) Influence mechanism of radio frequency heating on moisture transfer and drying stress in larch boxed-heart square timber. Dry Technol 37(13):1625–1632

    Article  Google Scholar 

  • Hu H, Argyropoulos SA (1995) Modelling of Stefan problems in complex configurations involving two different metals using the enthalpy method. Model Simul Mater Sci Eng 3(1):53–64

    Article  CAS  Google Scholar 

  • James WL (1975) Dielectric properties of wood and hardboard: Variation with temperature, frequency moisture content, and grain orientation, USDA Forest Service Research Paper, Forest Products Laboratory: Madison, WI

  • Kaestner PA, Bååth LB (2005) Microwave polarimetry tomography of wood. IEEE Sens J 5(2):209–215

    Article  Google Scholar 

  • Koumoutsakos A, Avramidis S, Hatzikiriakos SG (2001a) Radio frequency vacuum drying of wood. I. Math Model Dry Technol 19(1):65–84

    Article  CAS  Google Scholar 

  • Koumoutsakos A, Avramidis S, Hatzikiriakos SG (2001b) Radio frequency vacuum drying of wood. II. Experimental model evaluation. Dry Technol 19(1):85–98

    Article  CAS  Google Scholar 

  • Lazarescu C, Breuil C, Avramidis S, Maderas CT (2005) Phytosanitation of mountain pine beetle infected lodgepole pine using dielectric fields at radio frequencies. Cienc Tecn 17(2):221–228

    Google Scholar 

  • Pozar MD (2011) Microwave engineering, 4th edn. Wiley, New York

    Google Scholar 

  • Rattanadecho P (2006) The simulation of microwave heating of wood using a rectangular wave-guide: influence of frequency and sample size. Chem Eng Sci 61:4798–4811

    Article  CAS  Google Scholar 

  • Rattanadecho P, Suwannapum N, Cha-um W (2009) Interactions between electromagnetic and thermal fields in microwave heating of hardened type I-cement paste using a rectangular waveguide (influence of frequency and sample size). J Heat Transf ASME 131(8):082101

    Article  CAS  Google Scholar 

  • Soares D Jr, Vinagre MP (2008) Numerical computation of electromagnetic fields by the time-domain boundary element method and the complex variable method. CMES-Comput Model Eng Sci 25(1):1–8

    Google Scholar 

  • Steinhagen HP, Harry W (1988) Enthalpy method to compute radial heating and thawing of logs. Wood Fiber Sci 20(4):451–421

    Google Scholar 

  • Torgovnikov GI (1993) Dielectric properties of wood-based materials. Springer series in wood science, vol 33. Springer, Berlin

    Book  Google Scholar 

Download references

Acknowledgements

This work was done with the financial support of the Natural Sciences and Engineering Research Council of Canada (RGPIN-2016-05689).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Erchiqui.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Erchiqui, F., Annasabi, Z. & Diagne, M. Investigation of the radiofrequency heating of anisotropic dielectric materials with a phase change: application to frozen Douglas-fir and white oak woods. Wood Sci Technol 56, 259–283 (2022). https://doi.org/10.1007/s00226-021-01345-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00226-021-01345-y

Navigation