Optimization of Swirling Flow Energy Parameters on the Velocity Profile after Local Obstacle by Firefly Algorithm

Abstract

The paper deals with swirling flow (SF) phenomenon which occurs in fluid flow after local obstacle. The phenomenon of SF has been considered in many studies, but here is some different approach to this problem. Based on the theorem of conservation and transfer of energy, a mathematical model of SF was developed in the form of differential equation which defines the velocity profile. During research, special accent was put on the following parameters: swirling parameter, swirling intensity, swirling flux and swirling coefficient. Firefly Algorithm (FA) optimization model, in conjunction with Simulink, was used to get velocity profile vs. time dependence and to verify the developed model. The diagrams of velocity profile were obtained for variation of the initial boundary values of given parameters and conclusions were derived upon mathematical model and simulation of the process.