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Analytical Model of Contamination during the Drying of Cylinders of Jamonable Muscle

机译:Jamonable肌的圆筒干燥过程中的污染分析模型

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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.
机译:对于半径为R且长度远大于R的可干扰肌肉圆柱体;考虑到水的内部阻力远大于外部阻力,并且内部阻力是到轴的距离的某一函数;根据贝塞尔函数,可计算地计算出可卡顿圆柱体中的点状水分分布。在干燥和腌制过程中,可干扰圆筒很容易受到来自环境的细菌和原生动物的污染。利用带有源和汇的扩散方程,建立了污染的分析模型,该模型通过拉普拉斯变换,布罗姆维奇积分,残差定理和一些特殊函数(如贝塞尔和亨恩)求解。计算干燥和腌制的临界时间间隔,以使污染最小。假定外部水分和污染物都随时间呈指数下降。绘制污染物分布图,并讨论了一些可能的污染物检测技术。所有计算均使用计算机代数(特别是Maple)执行。据说该结果对食品工业很重要,并建议了一些未来的研究方向。

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