Mixing and reaction efficiency in closed domains

S. Berti, D. Vergni, F. Visconti, and A. Vulpiani

Phys. Rev. E 72, 036302 – Published 13 September 2005

Abstract

We present a numerical study of mixing and reaction efficiency in closed domains. In particular, we focus our attention on laminar flows. In the case of inert transport the mixing properties of the flows strongly depend on the details of the Lagrangian transport. We also study the reaction efficiency. Starting with a little spot of product, we compute the time needed to complete the reaction in the container. We find that the reaction efficiency is not strictly related to the mixing properties of the flow. In particular, reaction acts as a “dynamical regulator.”

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Received 28 December 2004

DOI:https://doi.org/10.1103/PhysRevE.72.036302

Authors & Affiliations

S. Berti¹, D. Vergni², F. Visconti³, and A. Vulpiani^3,4

¹Dipartimento di Fisica Generale, Università di Torino, Via Pietro Giuria 1, I-10125 Torino, Italy
²Istituto Applicazioni del Calcolo (IAC)-CNR, Viale del Policlinico, 137 I-00161 Rome, Italy
³Dipartimento di Fisica-Università “La Sapienza,” Piazzale Aldo Moro 2, I-00185 Rome, Italy
⁴Istituto Nazionale di Fisica della Materia (UdR), SMC (Roma 1), Istituto Nazionale di Fisica Nucleare (Roma 1), Piazzale Aldo Moro 2, I-00185 Rome, Italy

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Vol. 72, Iss. 3 — September 2005

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics