Complete parametric scalar dispersion

Daniel R. Lester; Guy Metcalfe; Murray Rudman

doi:10.1117/12.769348

5 January 2008 Complete parametric scalar dispersion

Daniel R. Lester, Guy Metcalfe, Murray Rudman

Proceedings Volume 6802, Complex Systems II; 68020J (2008) https://doi.org/10.1117/12.769348
Event: SPIE Microelectronics, MEMS, and Nanotechnology, 2007, Canberra, ACT, Australia

Abstract

Complex interactions between advection and diffusion give rise to enhanced scalar transport in cases where the advective field generates Lagrangian chaos. As the dispersion rate is a complex function of scalar diffusivity and parameters controlling the flow field, resolution of scalar dispersion over this parameter space is useful for better understanding interactions between advection and diffusion. In this paper we resolve the fine-scale structure asymptotic transport over the flow parameter space for Peclet numbers from 10⁰ to 10⁵ for a physically realizable flow, yielding a 50-fold acceleration of scalar dispersion at Pe = 10⁵. These results generate considerable insight into the global structure of transport and facilitate identification of mechanisms governing scalar dispersion; features include fractal distributions of dispersion rate, solution mode-locking, an order-disorder transition and localisation of transport optima.

Citation Download Citation

Daniel R. Lester, Guy Metcalfe, and Murray Rudman "Complete parametric scalar dispersion", Proc. SPIE 6802, Complex Systems II, 68020J (5 January 2008); https://doi.org/10.1117/12.769348

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