Scalar Decay in Chaotic Mixing

Abstract

I review the local theory of mixing, which focuses on infinitesimal blobs of scalar being advected and stretched by a random velocity field. An advantage of this theory is that it provides elegant analytical results. A disadvantage is that it is highly idealised. Nevertheless, it provides insight into the mechanism of chaotic mixing and the effect of random fluctuations on the rate of decay of the concentration field of a passive scalar.

35 pages, 15 figures. Springer-Verlag conference style svmult.cls (included). Published in "Transport in Geophysical Flows: Ten Years After," Proceedings of the Grand Combin Summer School, 14-24 June 2004, Valle d'Aosta, Italy. Fixed some typos

References in corpus (5)

• Particles and fields in fluid turbulence
• The Decay of Passive Scalars Under the Action of Single Scale Smooth Velocity Fields in Bounded 2D Domains : From non self similar pdf's to self similar eigenmodes
• Chaotic Mixing in a Torus Map
• Diffusion of passive scalar in a finite-scale random flow
• The Strange Eigenmode in Lagrangian Coordinates

Cited by in corpus (8)

• Using multiscale norms to quantify mixing and transport
• Material Barriers to Diffusive and Stochastic Transport
• Open-flow mixing: Experimental evidence for strange eigenmodes
• Nonuniform mixing
• Lyapunov exponents for the random product of two shears
• Scarring in classical chaotic dynamics with noise
• Cutting and shuffling with diffusion: Evidence for cut-offs in interval exchange maps
• Chaotic fields out of equilibrium are observable independent