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Geometry of reaction interfaces in chaotic flows.

M Giona1, S Cerbelli, A Adrover

  • 1Dipartimento di Ingegneria Chimica, Centro Interuniversitario sui Sistemi Disordinati e sui Frattali nell'Ingegneria Chimica, Universitá di Roma La Sapienza, via Eudossiana 18, 00184 Roma, Italy.

Physical Review Letters
|January 22, 2002
PubMed
Summary

This study extends the intermaterial contact area (ICA) concept to chaotic flows with diffusion. The ICA dynamics shift from exponential growth to oscillations due to advection and diffusion effects.

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Area of Science:

  • Fluid dynamics
  • Chemical reaction engineering
  • Transport phenomena

Background:

  • The intermaterial contact area (ICA) concept, initially for kinematic mixing, needs extension for systems with diffusion.
  • Chaotic flows present complex mixing dynamics influenced by both advection and diffusion.

Purpose of the Study:

  • To extend the concept of intermaterial contact area (ICA) to transport-controlled reactions in chaotic flows with diffusion.
  • To analyze the crossover in ICA dynamics from kinematics-dominated to diffusion-influenced regimes.

Main Methods:

  • Analysis of transport-controlled reactions in chaotic flow systems.
  • Identification of the ICA through the reaction interface between segregated reactants.
  • Investigating the dynamics of ICA under the influence of advection and diffusion.

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Main Results:

  • The dynamics of the ICA exhibit a crossover from kinematics-dominated exponential growth.
  • A persistent oscillatory regime in ICA dynamics emerges due to the combined action of advection and diffusion.
  • The scaling of the crossover length with respect to the Peclet number was analyzed.

Conclusions:

  • The ICA concept can be physically framed for chaotic mixing systems involving diffusion.
  • Advection and diffusion interplay to create a crossover in ICA dynamics, transitioning to oscillatory behavior.
  • Understanding this crossover is crucial for predicting mixing efficiency in reactive chaotic flows.