### ASA 129th Meeting - Washington, DC - 1995 May 30 .. Jun 06

## 4pPA7. Nonlinear waves through multicomponent fluid media with chemical
reactions.

**Timothy S. Margulies
**

**
**
*Natl. Ctr. for Phys. Acoust., Univ. of Mississippi, Oxford, MS 58677
*

*
*
Finite-amplitude wave propagation has been investigated using balance and
constitutive equations derived via continuum mixture theory for a
multicomponent system such that simultaneous chemical reactions can occur. A
multiple-time scale perturbation approach [T. Tanuiti and C.-C. Wei, J. Phys.
Soc. Jpn. 24 (4), 941 (1968)] was used to develop a differential-integral
equation for nonlinear wave propagation when diffusive motions can be
neglected. The processes of dissipation (e.g., viscous and thermal), chemical
relaxation, and nonlinear equation of state response influence the wave
profile. Approximations, such as low-frequency and high-frequency expansions
[J. Engelbrecht, Wave Motion 1, 65 (1979)] are examined. The low-frequency
results in the classical Burgers' equation. Applications with calculations use
information available in the literature for ocean and electrolytic solution
environments. The case of slightly inhomogeneous media will also be discussed.