A SOLUTION FOR OPTIMIZATION TASK REGARDING PHOTOCATALYTIC DEGRADATION OF POLLUTANTS IN WATER MEDIA USING KINEMATIC EQUATION OF THE PSEUDO FIRST ORDER

Utilization of kinematic models for interpretation of experimental data in the sphere of photocatalitic removal of water pollutants make it possible to optimize the photoreactor system in order to reach the sufficient volume of photo reactor and to minimize the part of reactor which is not illuminated. The simple models of kinetics of zero and the first order are quite enough for describing and modelling the process of photomineralization of organic compounds. There are some photocatalitic processes of non-linear character and that cannot be described by a kinetic equation of the pseudo first order. The article set the task on optimization of group realization of photocatalitic process in any fixed time in heterogeneously polluted medium where the level of pollution in sites of water probes collection composed the linear regularized set. The purpose of the article was (1) forming a generalized non-linear model of process of photocatalitic clearing of water; (2) optimization of group process of water clearing process at the territory characterized by heterogenic level of water pollution. Conditions for utilization of kinematic equation of the pseudofirst order for optimization of photocatalitic clearing of pollutants in heterogeneous water media were analyzed. To solve the optimization task, the specifics of group process of photocatalitic clearing in heterogeneous media is to be taken into account where the functional dependence between major technological parameters occurrs and some limitation condition is to be applied. The physical meaning of additionally introduced limitation condition in regard of major technological parameters is that resources usable for realization of group method of photo catalyze are limited. In view of above the space of possible functions usable for said functional dependence decreased. The parametric method for optimization of group catalytic process including limitation condition imposed on searched optimum function is suggested. The model solution of task on minimization of rest pollution at the given moment is given using method of non-conditional variation optimization.

photocatalysis, optimization, kinematic equation, modelling, organic polutants, kinematic model, photoreactor, kinetic equation, heterogenity, polluted medium

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