ACOUSTIC-WAVE MOTION ALONG A NARROW CYLINDRICAL DUCT WITH AN AXIAL TEMPERATURE-GRADIENT

An analytical solution is presented to the problem of non-isentropic a coustic wave motion in a narrow circular tube in the presence of a bac kground axial temperature gradient. The radial velocity component is r etained in the analysis and an isentropic solution is also presented f or comparative purposes. The effect of the temperature gradient upon t he attenuation and phase speed of the pressure wave and upon the ampli tude and cross-sectional profile of the axial velocity, acoustic tempe rature and radial velocity is explored. The main application area is t he study of the acoustic effects of catalytic converters.