Adaptive technology for constructing the kinetic equations of reduction reactions under conditions of a priori uncertainty
Abstract
The object of research is the process of oxide reduction in a reaction system of mass m due to the reaction on a contact surface with an area of S.
An adaptive technology is proposed that allows one to construct the kinetic equation of the process in which the oxide is reduced from the initial product under conditions of a priori uncertainty. A priori uncertainty regarding the behavior of a physicochemical system is understood as the fact that the following information is not available to the researcher:
– about the change in the mass of the reaction system and the area of the contact surface;
– about the rate of accumulation of the finished product;
– about the time of withdrawal of the finished product from the system.
The proposed adaptive technology includes five sequential stages to eliminate a priori uncertainty. This is ensured through the use of an adaptive algorithm, which allows obtaining the maximum accuracy in estimating the output variable by selecting the optimal parameter of the adaptive algorithm, and the subsequent canonical transformation. The introduced concept "canonical transformation of the kinetic equation" has the following meaning: having received some adequate description of the kinetic equation in a Cartesian coordinate system, a transformation is carried out that allow representing the equation in a new Cartesian coordinate system in such a way that its structure corresponds to the canonical form. The basic postulate of chemical kinetics can be such a canonical type.
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