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