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Exact solutions and ignition parameters in the Arrhenius conduction theory of gaseous thermal explosion

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Summary

Exact solutions, bifurcation diagrams, and critical ignition parameters are obtained for the true Arrhenius equation for conductive gaseous thermal explosion.

Zusammenfassung

Exakte Lösungen, Verzweigungsdiagramme, und kritische Zündungsparameter werden für die genaue Arrhenius-Gleichung für thermische Explosionen in leitenden Gasen erhalten.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Colorado, Boulder, Colorado, USA

    K. E. Gustafson

  2. Dept. of Chemical Engineering, University of Colorado, Boulder, Colorado, USA

    B. E. Eaton

Authors
  1. K. E. Gustafson
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  2. B. E. Eaton
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Additional information

Partially supported by NSF Grant NSF MCS 80-12220.

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Gustafson, K.E., Eaton, B.E. Exact solutions and ignition parameters in the Arrhenius conduction theory of gaseous thermal explosion. Z. angew. Math. Phys. 33, 392–405 (1982). https://doi.org/10.1007/BF00944447

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  • DOI: https://doi.org/10.1007/BF00944447

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