FRACTAL GRAPHICS FOR MODELING PROCESSES AND DEVICES OF CHEMICAL TECHNOLOGY

The results of a study on the use of fractal geometry methods in modeling and designing processes and devices of chemical industries are presented. It is shown that promising directions may be related to the modeling of microgeometry of equipment elements, such as, for example, surface roughness, as well as to the modeling of contact devices of mass transfer equipment having the property of self-similarity at all levels of detail. In the first case, the important points are the possibility of setting randomly distributed parameters using fractal mathematics, as well as the possibility of scaling and 3D printing of the obtained samples with subsequent study. In the second case, the possibility of using the same type of mathematical models in the description and mass transfer processes at all levels of detail of mass transfer contact equipment due to the presence of fractal self-similarity is of interest. The paper proposes several mathematical formulas that can be used to form a seed when constructing a fractal. A fractal is formed using a recursive function. It is shown that the software implementation of a fractal solid-state object is possible both from a program external to the CAD system and using a macro language built into the CAD system. The constructed 3D model of the object is printed using a 3D printer made of ABS plastic, thus forming a physical model of the proposed fractal, which is then tested using a small laboratory installation. The proposed algorithm: "The idea of fractal - Programming - A three-dimensional model in a CAD system - A physical model formed on a 3D printer - Research on a laboratory stand" allows you to quickly select the most effective options for fractal models, correcting them and screening out non-functional samples.