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