Abstract
Acoustic wave properties of fluids have provided a fruitful qualitative and quantitative analysis of fast chemical reactions. The purpose of this paper is to present an extension of the linear acoustic theory of Verdier and Piau [J. Acoust. Soc. Am. 101, 4 (1997)] to include simultaneous chemical kinetic relaxation. The energy equation, equation of state with thermodynamic relations are formulated to account for chemical reactions. A general wave equation for a compressible viscoelastic with thermal transfer and chemical progress variable perturbations are explicitly modeled. Longitudinal wave propagation is described by a biquadratic equation for the sound absorption and dispersion. Approximations of small thermal transfer and viscous effects yield linearly additive contributions of viscous, thermal, and reaction contributions. Here, linearly viscous or visco-elastic effects can be examined, in addition to the chemical kinetic effects. Sample calculations illustrating the physio-chemical dynamics will be presented.
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