PURDUE UNIV LAFAYETTE IND PROJECT SQUID HEADQUARTERS
The hydrodynamic equations of motion describing the interaction of sound with transient chemical reactions are written for adiabatic conditions to take account of changes in enthalpy and stoichiometry, and the possibility of temperature and pressure dependent rate coefficients. The equations are linearized in small inhomogeneous perturbations away from the time-dependent homogeneous state of the reacting system and solved by asymptotic expansion methods in the limit of high acoustic frequencies. Details are given for the ideal gas reactions A to B C, A to B. Numerical solutions of the hydrodynamic equations of motion confirm the predictions of the theory quantitatively. The theory is developed for standing acoustic waves and propagating wave packets.
Prepared in cooperation with Massachusetts Inst. of Tech., Cambridge.