Mechanical Engineering Commons^™

Analytical Solution To The Wave Equation With Discrete Pressure Sources: A Model For The Rijke Tube, Eduardo G. Perez

Graduate Theses, Dissertations, and Problem Reports

Despite of having been studied for several decades the phenomena of combustion instabilities are not well understood. Pressure waves due to the combustion instabilities can become violent being detrimental for both the performance and combustor life. A good prediction of the pressure distribution inside the combustor is important in order to prevent theoccurrence of this phenomenon. In this work a technique for solving the wave equation with discrete sources (or sinks) using the Green's functions was developed. One and two-dimensional approaches for cylindrical and Cartesian coordinates withconstant speed of sound were solved. Also the case of one-dimensional axially varying temperature …