ASA 127th Meeting M.I.T. 1994 June 6-10

2pPA7. Nonlinear processes in thermoacoustic engines.

A. Prosperetti

M. Watanabe

Dept. of Mech. Eng., The Johns Hopkins Univ., Baltimore, MD 21218

In the first part of the paper it is shown how, on the basis of a different form of the energy equation, a more compact derivation of the Rott theory of thermoacoustic effects [N. Rott, Z. Angew. Math. Phys. 20, 230--243 (1969)] can be given. In the second part, a weakly nonlinear theory is built starting from the same formulation and the steady-state amplitude of the oscillations setting in above the stability threshold is calculated. [Work supported by the Physical Acoustics Program of ONR.]