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Advection-diffusion in chaotic flows

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Analysis and Control of Mixing with an Application to Micro and Macro Flow Processes

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 510))

Abstract

The aim of these notes is to provide an overview of the different approaches used to address the advection-diffusion equation, viewed as the mathematical setting for studying mixing in laminar incompressible flows. In its beginnings1, i. e. starting from the paper by (1984), the field of laminar mixing was essentially a new playground for physicists, fluid dynamicists and engineers, where the tools of dynamical system theory could be applied.

In a historical perspective, it should be mentioned that the first contributions of methods of chaotic dynamics in laminar flows are Arnold (1965); Henon (1966). For further discussion see Mezic (2001).

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Authors and Affiliations

  1. Dipartimento di Ingegneria Chimica Università di Roma “La Sapienza”, Via Eudossiana 18, 00184, Roma, Italy

    Massimiliano Giona

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  1. Massimiliano Giona
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Editors and Affiliations

  1. McGill University, Montreal, Canada

    Luca Cortelezzi

  2. University of California, Santa Barbara

    Igor Mezić

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Giona, M. (2009). Advection-diffusion in chaotic flows. In: Cortelezzi, L., Mezić, I. (eds) Analysis and Control of Mixing with an Application to Micro and Macro Flow Processes. CISM International Centre for Mechanical Sciences, vol 510. Springer, Vienna. https://doi.org/10.1007/978-3-211-99346-0_4

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  • DOI: https://doi.org/10.1007/978-3-211-99346-0_4

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