Analytical model of contamination during the drying of cylinders of jamonable muscle

Isabel Montoya Arroyave

doi:10.1117/12.2048858

28 May 2014 Analytical model of contamination during the drying of cylinders of jamonable muscle

Isabel Montoya Arroyave

Proceedings Volume 9108, Sensing for Agriculture and Food Quality and Safety VI; 91080K (2014) https://doi.org/10.1117/12.2048858
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

Abstract

For a cylinder of jamonable muscle of radius R and length much greater than R; considering that the internal resistance to the transfer of water is much greater than the external and that the internal resistance is one certain function of the distance to the axis; the distribution of the punctual moisture in the jamonable cylinder is analytically computed in terms of the Bessel’s functions. During the process of drying and salted the jamonable cylinder is sensitive to contaminate with bacterium and protozoa that come from the environment. An analytical model of contamination is presents using the diffusion equation with sources and sinks, which is solve by the method of the Laplace transform, the Bromwich integral, the residue theorem and some special functions like Bessel and Heun. The critical times intervals of drying and salted are computed in order to obtain the minimum possible contamination. It is assumed that both external moisture and contaminants decrease exponentially with time. Contaminants profiles are plotted and discussed some possible techniques of contaminants detection. All computations are executed using Computer Algebra, specifically Maple. It is said that the results are important for the food industry and it is suggested some future research lines.

Citation Download Citation

Isabel Montoya Arroyave "Analytical model of contamination during the drying of cylinders of jamonable muscle", Proc. SPIE 9108, Sensing for Agriculture and Food Quality and Safety VI, 91080K (28 May 2014); https://doi.org/10.1117/12.2048858

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