Energy flux in duct flow

Abstract An energy equation for the linearized gas dynamic equations is derived. This conservation equation is applied to the problem of sound propagation in a sheared fluid contained in a duct. It is shown that for soft and hard walls the total energy flux through the duct equals the sum of the energy fluxes of the propagating modes. An example is considered.

[1]  P. Mungur,et al.  Acoustic wave propagation in a sheared fluid contained in a duct , 1969 .

[2]  D I Blokhintsev,et al.  Acoustics of a Nonhomogeneous Moving Medium. , 1956 .

[3]  F. Bretherton,et al.  Wavetrains in inhomogeneous moving media , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  W. Hayes.  Energy invariant for geometric acoustics in a moving medium. , 1968 .

[5]  R. L. Seliger,et al.  Variational principles in continuum mechanics , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.