Tracer Dispersion in Stirred Tank Reactors: Asymptotic Properties and Mixing Characterization

Authors

  • Massimiliano Giona,

    Corresponding author
    1. Dipartimento di Ingegneria Chimica, Centro Interuniversitario sui Sistemi Disordinati e sui Frattali nell'Ingegneria Chimica, Università di Roma “La Sapienza”, via Eudossiana 18, 00184 Roma, Italy
    • Dipartimento di Ingegneria Chimica, Centro Interuniversitario sui Sistemi Disordinati e sui Frattali nell'Ingegneria Chimica, Università di Roma “La Sapienza”, via Eudossiana 18, 00184 Roma, Italy
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  • Alessandro Paglianti,

    1. Dipartimento di Ingegneria Chimica, Università di Pisa, via Diotisalvi 2, 56126 Pisa, Italy
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  • Stefano Cerbelli,

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

    1. Dipartimento di Ingegneria Chimica, Università di Pisa, via Diotisalvi 2, 56126 Pisa, Italy
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  • Alessandra Adrover

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

This article addresses the characterization of dispersion and homogenization phenomena in stirred vessels through the analysis of dispersion curves that can be obtained experimentally by means of conductivity measurements. New insights on mixing conditions can be achieved from the analysis of the qualitative and asymptotic properties of tracer dispersion curves. The results obtained are interpreted in the context of the spectral approach to the advection-diffusion equation. It is shown that any flow model aimed at reproducing the experimentally determined dispersion curves must be at least two-dimensional. Convection-enhanced dispersion associated with the spectral structure of the advection-diffusion equation is addressed.

Abstract

On étudie dans cet article les caractéristiques des phénomènes de dispersion et d'homogénéisation dans des réservoirs agités par l'analyse des courbes de dispersion obtenues expérimentalement par des mesures de conductivité. L'analyse des propriétés qualitatives et asymptotiques des courbes de dispersion des traceurs peut fournir un nouvel éclairage sur les conditions de mélange. Les résultats obtenus sont interprétés dans le contexte d'une approche spectrale de l'équation d'advection-diffusion. On montre que tout modèle d'écoulement visant à reproduire les courbes de dispersion déterminées expérimentalement doit être au moins bidimensionnel. La dispersion améliorée par la convection associée à la structure spectrale de l'équation d'advection-diffusion est examinée.

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