Nonlinear behavior of acoustic waves in combustion chambers—II

Abstract

The approximate analysis developed in Part I of this work is applied to several specific problems. One purpose is to illustrate the use of the formalism, and a second is to demonstrate the validity of the method by comparing results with numerical solutions, obtained elsewhere, for the “exact” equations. A simple problem is treated first, the decay of a standing wave in a box containing a mixture of gas and suspended particles; one example of the steepening of an initially sinusoidal wave in pure gas is included. Viscous losses on an inert surface are treated essentially according to classical linear theory; recent experimental results are used as the basis for incorporating approximately the influence of nonlinear heat transfer in unsteady flow. All of the preceding results are combined in calculations of two examples of unstable motions in a solid propellant rocket motor and in a T-burner.