Nearly Discontinuous Chaotic Mixing
نویسندگان
چکیده
A new scientific approach to subgrid scale modeling is presented for chaotic problems involving a high degree of mixing over rapid time scales. RichtmyerMeshkov unstable flows are typical of such problems. Chemical reaction rates for turbulent mixtures are shown to converge with feasible grid resolution. The essential dependence of fluid mixing observables on transport phenomena is observed.
منابع مشابه
Laminar mixing of high-viscous fluids by a cylindrical chaotic mixer
Laminar mixing of glycerin in a chaotic mixer is carried by means of the blob deformation method. The mixer was a cylindrical vessel with two rotational blades which move along two different circular paths with a stepwise motion protocol. The flow visualization was performed by marking of the free surface of the flow with a tracer. The effects of controlling parameters such as rotational speed ...
متن کاملAlternate rotating walls for thermal chaotic mixing
In this study, we numerically investigate the evolution of two-dimensional mixing and heat transfer enhancement within a two-rod stirring device. The fluid is heated by the walls, which are maintained at a constant temperature. We show by analysis of different stirring protocols that the use of discontinuous wall rotations is necessary to promote heat transfer by chaotic mixing. This condition ...
متن کاملNumerical investigation of AC electrokinetically induced fluid flow in a circular microchannel
AC-driven electrothermal flow is used to enhance the chaotic mixing through vortex flow in micro-fluidic systems by nearly an order of magnitude. Diffusion of heat and momentum can be increased because of the electrothermal force acting on the fluid through the applied AC electric field. Numerical simulation of vortex-assisted mixing in circular microchannel flow is investigated by solving a se...
متن کاملBilliards with polynomial mixing rates
While many dynamical systems of mechanical origin, in particular billiards, are strongly chaotic—enjoy exponential mixing, the rates of mixing in many other models are slow (algebraic, or polynomial). The dynamics in the latter are intermittent between regular and chaotic, which makes them particularly interesting in physical studies. However, mathematical methods for the analysis of systems wi...
متن کاملBlinking Rolls: A Model for Three-Dimensional Chaotic Advection
We study a simple, nonautonomous, three-dimensional, incompressible flow corresponding to sequentially active two-dimensional rolls with distinct axes. A feature of the model is that an analytical map is obtained. We show that when the roll axes are orthogonal, motion is confined to two-dimensional topological spheres. The dynamics on each surface ranges from nearly regular to largely chaotic. ...
متن کامل