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

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dc.contributor.author Chapwanya, Michael
dc.contributor.author Misra, N.N.
dc.date.accessioned 2015-07-14T09:58:12Z
dc.date.available 2015-07-14T09:58:12Z
dc.date.issued 2015-07
dc.description.abstract 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. en_ZA
dc.description.embargo 2016-07-31 en_ZA
dc.description.librarian hb2015 en_ZA
dc.description.sponsorship Science Foundation Ireland Grant SFI/12/IA/1683, and the South African DST/NRF SARChI Chair on Mathematical Methods in Bioengineering and Biosciences (M3B2). en_ZA
dc.description.uri http://www.elsevier.com/locate/apm en_ZA
dc.identifier.citation Chapwanya, M & Misra, NN 2015, 'A mathematical model of meat cooking based on polymer-solvent analogy', Applied Mathematical Modelling, vol. 39, no. 14, pp. 4033-4043. en_ZA
dc.identifier.issn 0307-904X (print)
dc.identifier.issn 1872-8480 (online)
dc.identifier.other 10.1016/j.apm.2014.12.015
dc.identifier.uri http://hdl.handle.net/2263/48710
dc.language.iso en en_ZA
dc.publisher Elsevier en_ZA
dc.rights © 2014 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematical Modelling, vol.39, no.14, pp. 4033-4043, 2015. doi :10.1016/j.apm.2014.12.015 en_ZA
dc.subject Flory–Huggins theory en_ZA
dc.subject Heat and mass transfer en_ZA
dc.subject Mathematical modelling en_ZA
dc.title A mathematical model of meat cooking based on polymer-solvent analogy en_ZA
dc.type Postprint Article en_ZA


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