Abstract |

**Nonlinear Standing Waves in an
Acoustical Resonator with the Longitudinal Mean Temperature Distribution**

*M.Cervenka, M.Bednarik, P.Konicek
(Department of Physics, FEE-Czech Technical University in Prague, Prague, Czech
Republic)*

*e-mail:
cervenm3@feld.cvut.cz*

This
paper deals with the problem of nonlinear standing waves in the
axisymmetrically shaped acoustic resonators where a mean temperature is
distributed along their axis. The mean temperature distribution can be caused
by state changes due to a mean pressure and a density changeover, further due
to conversion of an acoustic energy into heat due to the viscous losses. The
one-dimensional model equation for nonlinear standing waves of the 2-nd order
including a viscous boundary layer is modified to take into account a
longitudinal distribution of mean temperature. The mean temperature
distribution caused by the state change in an acoustical resonator is estimated
using the state equation. The mean temperature changes are considered to be
small. The model equation is solved numerically in frequency domain.

Section
: 1