Coupling of a mapping method and a genetic algorithm to optimize mixing efficiency in periodic chaotic flows

Numerical investigation of the mixing efficiency of the Ekato Paravisc impeller

“…In order to determine the mixing time, the intensity of segregation concept was utilized, which consists of studying the dispersion of a cluster of tracers in the tank (De La Villéon et al, 1998;Gibout et al, 2006). More precisely, the dimensionless concentration of tracers C i in each finite element i can be calculated at each time step as…”

Alternate rotating walls for thermal chaotic mixing

“…In fact, many more works in the literature concern the relationship between chaotic mixing and chemical reaction more than the coupling of chaotic mixing with heat transfer. When heat transfer enhancement is involved, mainly two classes of flow geometries are encountered in the production of chaotic mixing: those that use rotating elements as eccentric cylinders [5,6,7,8] and those that use multiple pipe bends [9,10,11,12,13,14,15,16,17,18,19]. For the latter geometries, chaotic trajectories are determined by continuous modification of pipe wall design; the third space dimension provides the required additional degree of freedom and no displacement of the wall is imposed.…”

Frontiers of chaotic advection

“…The periodic length of a sequence in the stirring protocol is also a parameter to test. It has been shown that the choice of a globally aperiodic sequence is not appropriate for an efficient stirring protocol (Gibout et al, 2006). Moreover, in the case of fixed-time switching between horizontal and vertical shears on a periodic domain, the best mixing (in the sense of Kolmogorov-Sinai entropy) has been rigorously shown to be achieved by the simplest periodic protocol (D'Alessandro et al, 1999).…”