Abstract

The exact autonomous (time-independent) kinetic invariants of nonlinear chemical reactions occurring in open systems with the participation of an independent and any number of dependent reactants were determined. These invariants are relations that remain constant throughout the reaction, and they relate the unsteady concentrations of the reactants measured in several experiments with different initial conditions (in multi-experiments). The calculation of the invariants of nonlinear reactions with two, three, and four reactants was exemplified. The results obtained can be useful in solving inverse problems of unsteady chemical kinetics and in modeling processes in isothermal perfect-mixing reactors.

中文翻译：

---

非线性化学反应的精确自主不变性

摘要

确定了在开放系统中发生的，独立的和任意数量的依赖反应物参与的非线性化学反应的精确的自主（时间无关）动力学不变量。这些不变量是在整个反应过程中保持恒定的关系，并且它们将在几个实验中使用不同的初始条件（在多次实验中）测得的反应物的不稳定浓度关联起来。举例说明了具有两个，三个和四个反应物的非线性反应的不变量的计算。获得的结果可用于解决不稳定化学动力学的逆问题，以及在等温完全混合反应器中的建模过程中。