Transient sensitivity analysis and topology optimization for particle motion in steady state laminar fluid

Abstract

A new topology optimization scheme considering the transient particle motion in steady state laminar fluid is developed in the present study. To efficiently control the transient motion of particles in steady state laminar fluid, it is possible to apply the fluid topology optimization method considering the particle and fluid interaction condition. Inside steady state laminar fluid, particles move due to the fluid drag forces which are the functions of the fluid velocity and the velocities of particles. Indeed, the motions of particles can be controlled and optimized by changing the movement of fluid for several engineering applications. From a topology optimization point of view, the design variables determining the Darcy's forces in fluid are optimized in order to control the velocities of particles. The transient sensitivity analysis is newly derived considering the steady laminar fluid and Newton's 2nd equation. Through several optimization examples, the validity and the application of the present topology optimization method are illustrated.