4.7 Article

A mathematical model of meat cooking based on polymer-solvent analogy

Journal

APPLIED MATHEMATICAL MODELLING
Volume 39, Issue 14, Pages 4033-4043

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2014.12.015

Keywords

Flory-Huggins theory; Heat and mass transfer; Mathematical modelling

Funding

  1. Science Foundation Ireland Grant [SFI/12/IA/1683]
  2. South African DST/NRF SARChI Chair on Mathematical Methods in Bioengineering and Biosciences (M3B2)

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Mathematical modelling of transport phenomena in food processes is vital to understand the process dynamics. In this work, we study the process of double sided cooking of meat by developing a mathematical model for the simultaneous heat and mass transfer. The constitutive equations for the heat and mass transport are based on Fourier conduction, and the Flory-Huggins theory respectively, formulated for a two-phase transport inside a porous medium. We investigate a reduced one-dimensional case to verify the model, by applying appropriate boundary conditions. The results of the simulation agree well with experimental findings reported in literature. Finally, we comment upon the sensitivity of the model to the porosity of meat. (C) 2014 Elsevier Inc. All rights reserved.

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