Abstract |

**Spatial Evolution of Velocity in the
Cylindrical Resonator**

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

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

This
paper deals with the theoretical description of
standing waves in a cylindrical piston driven fluid-filled resonator with the constant
cross-section. The presented theoretical
model is derived in the second-order
nonlinear theory. It uses the Khokhlov-Zabolotskaya-Kuznetsov
equation supplemented by the additional
source term. This model allows the
calculation of the velocity distribution in the resonator both in the longitudal and
transverse direction with respect to the
resonator axes. The model takes into
account nonlinear, diffraction and
dissipation effects. The spatial and the time
evolutions of velocity obtained from the numerical solution are presented, limits of validity of
the introduced model are discussed here.

Section
: 1