Mathematic Description of Biological Changes in the Cured Hides Soaking

摘要

The advantages and possible complications of mathematical simulations - indirect modelling of tanning processes are discussed in the introduction. As an example of deterministic models of mathematical simulation, a diffusion model for the cured hide soaking operation is presented. The minima of the main operation costs are determined, following from their dependence on the consumption of the soaking liquid - technological water. The minimum of the costs depends, besides economical and technological parameters, on the values of physical constants - the speed constant of the dissolving of the surface solid salt (pre-soak washing), the transport parameter that enables a qualified approximation of the duration of the soaking operation itself, and the effective diffusion coefficient of salt in the inner volume of the cured hide. A possible occurrence of concentration shock is modelled, as well as a method of its prevention. Experimental methods for the determination of physical constants are also presented.