Discretisation of the non-linear heat transfer equation for food freezing processes using orthogonal collocation on finite elements

Brazilian Journal of Chemical Engineering

E. D. Resende²  T. G. Kieckbusch¹  E. C. V. Toledo¹  M. R. W. Maciel¹ 

[1] ,Universidade Estadual do Norte Fluminense Darcy Ribeiro Centro de Ciências e Tecnologias Agropecuárias Laboratório de Tecnologia de AlimentosCampos dos Goytacazes RJ ,Brazil

关键词: Freezing process;    Modelling;    Heat load;    Numerical method;   

DOI  :  10.1590/S0104-66322007000300009

来源: SciELO

【 摘 要 】

The freezing process is considered as a propagation problem and mathematically classified as an "initial value problem." The mathematical formulation involves a complex situation of heat transfer with simultaneous changes of phase and abrupt variation in thermal properties. The objective of the present work is to solve the non-linear heat transfer equation for food freezing processes using orthogonal collocation on finite elements. This technique has not yet been applied to freezing processes and represents an alternative numerical approach in this area. The results obtained confirmed the good capability of the numerical method, which allows the simulation of the freezing process in approximately one minute of computer time, qualifying its application in a mathematical optimising procedure. The influence of the latent heat released during the crystallisation phenomena was identified by the significant increase in heat load in the early stages of the freezing process.

【 授权许可】

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