Abstract |

**Influences of a Boundary Layer on
Nonlinear Standing Waves in Closed Cylindrical Resonators**

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

*e-mail:
bednarik@fel.cvut.cz*

The
paper deals with study of a boundary layer influence on nonlinear standing
waves in closed cylindrical
resonators.The boundary layer causes low-frequency attenuation, dispersion and diffraction of standing waves. In
correspondence with the second-order nonlinear theory, standing waves can be represented as a
superposition of simple waves propagating
in opposite directions. In this case we can describe nonlinear standing
plane waves by the inhomogenous
generalized Burgers equation (GBE). Limits of validity of the inhomogenous GBE is discussed in the paper. The boundary
layer influence on Q-factor is demonstrated by
means of new approximate solutions of the homogenous GBE for free
oscillations.

Section
: 1