Summary
In this paper we consider a mixture of chemically reacting materials with memory. After stating the constitutive assumptions we adopt the usual postulate of fading memory and determine the restrictions which the Second Law of Thermodynamics places on the response functions. Subsequently, we examine the behavior of acceleration waves propagating in such a mixture which is initially in a state of thermochemical equilibrium. We also distinguish between the cases when the equilibrium state is weak or strong, and determine their effects on the wave behavior.
Zusammenfassung
In dieser Arbeit wird ein Gemisch chemisch reagierender Stoffe mit Gedächtnis betrachtet. Nach Formulierung der Werkstoffannahmen wird die übliche Annahme schwindenden Gedächtnisses getroffen, und die Einschränkungen für die Antwortfunktionen durch den 2. Hauptsatz werden ermittelt. Anschließend wird das Verhalten von Beschleunigungswellen in einem Gemisch, das sich anfänglich in thermodynamischem Gleichgewicht befindet, untersucht. Unterschieden werden die Fälle eines starken oder schwachen Gleichgewichtszustandes und das Wellenverhalten in diesen Fällen bestimmt.
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Bowen, R.M., Chen, P.J. Acceleration waves in a mixture of chemically reacting materials with memory. Acta Mechanica 19, 201–214 (1974). https://doi.org/10.1007/BF01176486
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DOI: https://doi.org/10.1007/BF01176486