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Thermisch stabiles Upscaling einer exothermen Modellreaktion

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • B. Fiedler

    (Freie Universität Berlin, Institut für Mathematik I)

  • M. Efendiev

    (Freie Universität Berlin, Institut für Mathematik I)

  • A. Schuppert

    (Hoechst AG, ZFI-WIA-Scientific Computing, G864)

Abstract

We consider a model exothermic radical reaction in a continuous flow stirred tank reactor, which converts an educt into a product via a starter radical. Optimal conversion rate is achieved in the limit of small starter concentration. Thermal stability requirements limit the maximal production rate. Specifically we consider upscaling of a miniplant by a factor σ > 1 of length scale. Then the maximally thermally admissible volumetric production rate which avoids hot spots scales by the same factor σ, only, rather than a naively expected factor σ3. This constraint is due to the nonlinearity of chemical mass action kinetics, thermal diffusion limitations, and the Arrhenius law. It is independent of the particular numerical values of the reaction rates.

Suggested Citation

  • B. Fiedler & M. Efendiev & A. Schuppert, 1997. "Thermisch stabiles Upscaling einer exothermen Modellreaktion," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 83-90, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_8
    DOI: 10.1007/978-3-642-60550-5_8
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