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Measurement of thermal conductivity of paper and corrugated fibreboard with prediction of thermal performance for design applications

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Abstract

Understanding heat transfer in corrugated fibreboard is important to the design of more effective packaging for industries which involve the freezing and chilling of food. In this work the thermal conductivity of papers which compose corrugated fibreboard were measured and used to validate finite element models of heat transfer in fibreboard. The results showed paper to be highly anisotropic, with thermal conductivity in the machine and cross machine directions being almost an order of magnitude larger than in the thickness direction. The finite element models showed good agreement with experimental results and demonstrated that the majority of heat transfer in corrugated fibreboard is though the fluted medium. Based on the finite element models, simple models for the prediction of the thermal performance of corrugated board were evaluated and shown to be very effective in reproducing the results of the more complex finite element methods. These simple methods can be used to perform corrugated fibreboard design calculations, and the models with and without radiation can be used to provide estimates of the lower and upper bounds of the thermal resistance for a given board design.

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References

  • Bormett DW (1981) Overall effective thermal resistance of corrugated fibreboard. Research paper No. FSRP-FPL-406. Forest Products Lac, Madison WI

  • Bronlund JE, Robertson TR (2006) Modelling of heat transfer through corrugated cardboard packaging. In: IIR/IHRACE conference, Auckland

  • Bronlund JE, Redding GP, Robertson TR (2014) Modelling steady-state moisture transport through corrugated fibreboard packaging. Packag Technol Sci 27:193–201

    Article  CAS  Google Scholar 

  • Choi S, Burgess G (2007) Practical mathematical model to predict the performance of insulating packages. Packag Technol Sci 20:369–380

    Article  Google Scholar 

  • Cleland AC, Earle RL (1976) A new method for prediction of surface heat transfer coefficients in freezing. In: Bulletin. Annex-International Institute of Refrigeration (IIR), Refrigeration Science and Technology. 1976-1, pp 361–368

  • COMSOL Multiphysics® v. 4.4. www.comsol.com. COMSOL AB, Stockholm, Sweden

  • de Castro LR, Vigneault C, Cortex LAB (2004) Container opening design for horticultural produce cooling efficiency. J Food Agric Environ 2:135–140

    Google Scholar 

  • Heat Transfer Users Guide (2013) COMSOL. Stockholm, Sweden, pp 188–190

  • Imakoma H, Yano T, Kubota K, Ohomura N, Kataoka K (2000) Moisture content dependence of anisotropic effective thermal conductivity for recycled paper. Kagaku Kogaku Ronbunshu 26:105–107

    Article  CAS  Google Scholar 

  • Incropera FP, Lavine AS, Bergman TL, DeWitt DP (2007) Fundamentals of heat and mass transfer. Wiley, New York

    Google Scholar 

  • McCabe WL, Smith JC, Harriott P (1993) Unit operations of chemical engineering, vol 1130. McGraw-Hill, New York

    Google Scholar 

  • Mikheyev M (1968) Fundamentals of heat transfer. Mir, Moscow

    Google Scholar 

  • Moureh J, Derens E (2000) Numerical modelling of the temperature increase in frozen food packaged in pallets in the distribution chain. Int J Refrig 23:540–552

    Article  Google Scholar 

  • Ramaker TJ (1974) Thermal resistance of corrugated fibreboard. Tappi 59:69–72

    Google Scholar 

  • Robertson TR, Thompson FB, Cleland AC (1998) Measuring thermal resistance of corrugated made simple. Packag Technol Eng 7:48–51

    Google Scholar 

  • Thompson FB, Robertson TR, Cleland AC (1999) Modelling the heat transfer resistance of corrugated paperboard. N Z Food J 29:94–97

    Google Scholar 

  • Twede D, Harte B (2003) Logistical packaging for food marketing systems. In: Cole R, McDowell D, Kirwan M (eds) Food packaging technology. Blackwell Publishing, Oxford

    Google Scholar 

  • Urbanik TJ (2001) Effect of corrugated flute shape on fibreboard edgewise crush strength and bending stiffness. J Pulp Pap Sci 27:330–335

    CAS  Google Scholar 

  • Zapata PA, Fransen M, ten Thije BJ, Saes L (2013) Coupled heat and moisture transport in paper with application to a warm print surface. Appl Math Model 37:7273–7286

    Article  Google Scholar 

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Acknowledgments

The authors would like to thank SCION for their support on this project.

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Correspondence to E. M. Gray-Stuart.

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Gray-Stuart, E.M., Bronlund, J.E., Navaranjan, N. et al. Measurement of thermal conductivity of paper and corrugated fibreboard with prediction of thermal performance for design applications. Cellulose 26, 5695–5705 (2019). https://doi.org/10.1007/s10570-019-02462-5

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  • DOI: https://doi.org/10.1007/s10570-019-02462-5

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