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

## 2pPA7. Nonlinear processes in thermoacoustic engines.

**A. Prosperetti
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M. Watanabe
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*Dept. of Mech. Eng., The Johns Hopkins Univ., Baltimore, MD 21218
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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.]