Models and measures of mixing and effective diffusion

Details Models and measures of mixing and effective diffusion Models and measures of mixing and effective diffusion

2010-11-05

arxiv.org/abs/1011.1320v1

Physics

Fluid Dynamics

16 pages, 8 figures, LaTeX with DCDS style (included), Accepted for publication in Discrete and Continuous Dynamical Systems -

Scientific paper

Mixing a passive scalar field by stirring can be measured in a variety of ways including tracer particle dispersion, via the flux-gradient relationship, or by suppression of scalar concentration variations in the presence of inhomogeneous sources and sinks. The mixing efficiency or efficacy of a particular flow is often expressed in terms of enhanced diffusivity and quantified as an effective diffusion coefficient. In this work we compare and contrast several notions of effective diffusivity. We thoroughly examine the fundamental case of a steady sinusoidal shear flow mixing a scalar sustained by a steady sinusoidal source-sink distribution to explore apparent quantitative inconsistencies among the measures. Ultimately the conflicts are attributed to the noncommutative asymptotic limits of large P$\acute{\text{e}}$clet number and large length-scale separation. We then propose another approach, a generalization of Batchelor's 1949 theory of diffusion in homogeneous turbulence, that helps unify the particle dispersion and concentration variance suppression measures.

Affiliated with

Also associated with

No associations

Rating

Models and measures of mixing and effective diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Models and measures of mixing and effective diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Models and measures of mixing and effective diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453718