On heuristic mathematical modeling of the technical and ecological potential of microelectric power plants based on the Navier-Stokes equation

This study is aimed at the implementation of heuristic mathematical modeling of the technological and environmental aspects of micro-electric power plants. In the course of the study, the Navier-Stokes equation with specified boundary and initial conditions was used to describe the technical capabilities taking into account the movement of fluid flows. Global modeling methods were used to perform the calculations in order to derive a general view of the velocity function for any design of a micro-electric dam type. Using numerical methods, the forms of the velocity function with known parameters were obtained. Visualizations and dependencies with environmental properties that manifest themselves during the operation of micro-electric power plants are presented. Corresponding differential equations have been proposed for the mathematical description of the environmental potentials of micro-electric power plants.