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Thermal stability of chemically reacting heat conductors

Thermische Stabilität chemisch reagierender Wärmeleiter

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Summary

In this paper, we examine the criterion of thermal stability proposed by Day and Gurtin in the context of the nonlinear theory of heat conduction withN independent chemical reactions. For isotropic materials, we find that this criterion imposes certain restrictions on the thermochemical properties of the material which are similar to those arising in a study of the stability of the initial-value problem for the linearized theory.

Zusammenfassung

In dieser Arbeit wird die von Day und Gurtin vorgeschlagene Bedingung für thermische Stabilität im zusammenhang mit der nichtlinearen Wärmeleitungstheorie mitN unabhängigen chemischen Reaktionen untersucht. Für isotrope Stoffe zeigt sich, daß diese Bedingung zu bestimmten Einschränkungen der thermochemischen Eigenschaften der Stoffe führt, ähnlich denen bei der Untersuchung der Stabilität des Anfangswertproblemes der linearisierten Theorie.

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References

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Authors and Affiliations

  1. Sandia Laboratories, 87115, Albuquerque, NM, USA

    J. W. Nunziato

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  1. J. W. Nunziato
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Nunziato, J.W. Thermal stability of chemically reacting heat conductors. Acta Mechanica 25, 221–228 (1977). https://doi.org/10.1007/BF01376993

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  • DOI: https://doi.org/10.1007/BF01376993

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