Akademik Veri Yönetim Sistemi
JOURNAL OF SOUND AND VIBRATION, cilt.217, sa.5, ss.869-882, 1998 (SCI-Expanded)
The impedance, or the reflection coefficient, of plane sound waves in inhomogeneous ducts satisfies a Riccati equation. The present paper shows that the duct impedance matrix, or the scattering matrix, can be related explicitly to the solutions of the associated linear equation of the Riccati equation for duct impedance, or reflection coefficient, respectively. New exact analytical scattering matrix solutions, which follow as consequences of this connection, are given for two significant duct acoustics problems, namely, the sound transmission in non-uniform ducts carrying an incompressible subsonic low Mach number mean flow and the transmission of sound in uniform ducts with a full quadratic axial mean temperature gradient. (C) 1998 Academic Press.