Abstract

A computational scheme has been presented for estimating the technological characteristics of the continuous fermentation of lactic acid at a given concentration of the component that produces the main substrate. The computational scheme includes a preliminary analysis, the principal analysis, and a numerical example of the implementation of calculation. In the preliminary analysis, relationships for estimating the boundary characteristics have been given that form the region of values for these characteristics that, in fact, ensure a given concentration of the component producing the main substrate (M₀, g/L). The coordinates of the point of the maximum productivity and singular points have been determined. The positions of these coordinates have been illustrated using a portrait of the dependence of M₀ on the dilution rate D for a productivity of Q_P = 6 g/(L h). This portrait also shows the boundaries of sections I, II, and III, for which computational relationships have been constructed. The scheme of the construction of computational relationships has been presented separately for each of the sections. The boundaries of sections are determined by relationships (22)–(24). Sets have been constructed at a given value of M₀ for the coordinates of singular points, the extremum point Q_P, and each of the sections: Set1 for section I; Set1* and Set2* for section II; and Set1**, Set2**, and Set3** for section III. Theoretical relationships have been used for a numerical estimation of the characteristics of sets. It has been shown that the range of the assignment of M₀ is the widest for section I, whereas the range of values for the dilution rate D is the greatest for section III. Numerical estimates in a comparative variant for sets in sections II and III have shown that the final concentrations of components under the same initial conditions differ in the values of M₀ and S. This makes it possible to evaluate the further processing of synthesis products (the recovery of lactic acid, the recycling and use of unconverted components, and the recovery of a by-product).

中文翻译：

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在给定浓度的生产主底物的给定浓度下，估算乳酸生产发酵过程的稳态数

摘要

已经提出了一种计算方案，用于估计在给定浓度的产生主要底物的组分下乳酸的连续发酵的技术特征。计算方案包括初步分析，原理分析和计算实现的数值示例。在初步分析中，已经给出了用于估计边界特性的关系，这些关系形成了这些特性的值的区域，这些关系实际上确保了给定浓度的生产主基板的成分（M ₀，g / L）。确定了最高生产率的点和奇异点的坐标。这些坐标的位置已经用生产率为Q _P = 6 g /（L h）的M ₀对稀释率D的依赖性的肖像进行了说明。该肖像还显示了部分I，II和III的边界，为此已建立了计算关系。计算关系的构造方案已针对每个部分分别介绍。部分的边界由关系（22）–（24）确定。已针对给定值M ₀构造了奇点，极点坐标Q _P，以及每个部分：第一部分的Set1；第二节的Set1 *和Set2 *; 第三节的Set1 **，Set2 **和Set3 **。理论关系已用于对集合特征进行数值估计。已经表明，对于部分I，M ₀的分配范围是最大的，而对于部分III ，稀释率D的值的范围是最大的。第二节和第三节中一组变量的比较变量的数值估计显示，在相同的初始条件下，组分的最终浓度在M ₀值上有所不同 这使得有可能评估合成产物的进一步加工（乳酸的回收，未转化组分的回收和使用以及副产物的回收）。