Propagation of Quasi-plane Nonlinear Waves in Tubes

P. Koníček, M. Bednařík, M. Červenka


This paper deals with possibilities of using the generalized Burgers equation and the KZK equation to describe nonlinear waves in circular ducts. A new method for calculating of diffraction effects taking into account boundary layer effects is described. The results of numerical solutions of the model equations are compared. Finally, the limits of validity of the used model equations are discussed with respect to boundary conditions and the radius of the circular duct. The limits of applicability of the KZK equation and the GBE equation for describing nonlinear waves in tubes are discussed.


nonlinear acoustics; Khokhlov-Zabolotskaya-Kuznetsov equation; generalized Burgers equation

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague