Extraction of Delay Parameters of Fluid Flows by Genetic Algorithm

Abstract

In this paper, we study delayed fluid flows. More specifically, we examine the extraction of delay parameters of fluid flows by the genetic algorithm. With this motivation, we first derive the analytical solutions of some reduced forms of the Navier-Stokes equation with time delay. In these problems, the governing equations simply become delayed diffusion equations. These reduced problems can be named as Stokes second problem (Stokes boundary layer) with delay and Poiseuille flow with delay. We derive the analytical solutions of these problems under the effect of the constant delay. Then, using the velocity profiles of the delayed flows, we show that the delay time can be extracted using the genetic algorithm (GA). We discuss the possible usage, applications, and limitations of our findings.