Propagation of Quasi-plane Nonlinear Waves in Tubes

Acta Polytechnica

M. Bednařík¹  M. Červenka¹  P. Koníček¹ 

关键词: nonlinear acoustics;    Khokhlov-Zabolotskaya-Kuznetsov equation;    generalized Burgers equation;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown