Abstract:
The dynamics of the considered class of objects and water treatment systems in the general case is described by linear or linearized differential equations with partial derivatives and constant or variable coefficients, the existence and uniqueness of the solution of which are provided by necessary and sufficient linear boundary conditions. The same mathematical description has, in particular, the processes of heat and mass transfer used by technological processes at water treatment facilities. Taking into account the interrelation of heat and mass transfer, determination of the generalized dynamic characteristics of these processes will allow solving the problems of analysis and synthesis of an
automated or automatic control system for such units, as well as the tasks of improving technology and upgrading equipment in order to improve quality characteristics of products, reduce energy costs for its production and enhance the productivity of technological units.
Keywords:mathematical modeling, mass or heat transfer, boundary value problems, distributed components, Laplace transformation.