The Interaction of Sound with Gas Phase Reactions.

Abstract

Reaction and sound propagation are coupled in ideal gas phase reactions which have a difference in the sums of stoichiometric coefficients of reactants and products, or which have a pressure-dependent rate coefficient. Numerical and approximate analytical (WKB-type) solutions are obtained for the hydrodynamic equations which take into account this coupling and which describe the spatial and temporal variations in density, velocity and concentration for an isothermal system far from equilibrium. Specific results are given for a unimolecular reaction of the type A yields B + C, where sound is shown to be amplified in both high and low pressure regions, with an accompanying change in frequency; the system is unstable to small perturbations. Possible applications include a new method for the determination of rate coefficients by acoustic means. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0742351

Entities

People

  • Hong-sup Hahn
  • John Ross
  • Peter J. Ortoleva
  • Robert G. Gilbert

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Chemical Reaction Properties
  • Chemical Reactions
  • Coefficients
  • Cooperation
  • Coupling (Interaction)
  • Couplings
  • Equations
  • Frequency
  • Massachusetts
  • Mathematics
  • Perturbations

Readers

  • Combustion science or combustion engineering.
  • Plasma Physics / Magnetohydrodynamics
  • Wave Propagation and Nonlinear Chaotic Dynamics.