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Wave propagation at high dissociation temperatures

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Abstract

Waves in ideal dissociating gases are examined in the limit of large dissociation temperatures. Both strong shock waves and weak finite-amplitude signalling problems are considered. The shock analysis is based on the Freeman limit, and an extension to higher Mach numbers is given. Even small-amplitude near-field theories, which are concerned with times comparable to the signal scale, can contain nonlinear exponential terms when the dissociation temperature is large. A corresponding endothermic Clarke equation is derived and solutions are determined in the Newtonian limit. Far-field theory, involving both convective and chemical nonlinearities, is also discussed. Suitable high-frequency solutions are obtained, together with results for the evolution of the shock path and the decay of the signal amplitude.

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  1. Department of Mechanical Engineering and Mechanics, Lehigh University, 19 Memorial Drive W., Bethlehem, PA, 18015, USA

    P. A. Blythe

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  1. P. A. Blythe
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Blythe, P.A. Wave propagation at high dissociation temperatures. J Eng Math 62, 389–403 (2008). https://doi.org/10.1007/s10665-008-9238-y

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  • DOI: https://doi.org/10.1007/s10665-008-9238-y

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