Resonant Acoustic Oscillations with Damping: Small Rate Theory
Abstract
A gas in a tube is excited by a reciprocating piston operating at or near a resonant frequency. Damping is introduced into the system by three means: radiation of energy from one end of the tube, rate dependence of the gas, and boundary layer friction. A lumped damping coefficient is defined to account for the effects of all three. It is shown that in the small rate limit the signal in the periodic state suffers negligible distortion in one travel time, and hence its propagation according to acoustic theory is valid. The shape of the signal is determined by a nonlinear ordinary differential equation. The small rate condition provides a test of the applicability of the theory to given experimental conditions. The resonant band is analyzed for both damped and inviscid cases. The predictions of the theory are compared with experiment.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1972
- Accession Number
- AD0746981
Entities
People
- B. R. Symour
- M. P. Mortell
Organizations
- Lehigh University