Propagation of finite amplitude sound pulses in tubes

In this paper, the nonlinear propagation properties of finite amplitude sound pulses in tubes with rigid wall is studied. At first, we discuss the solutions of Burgers equation in which dissipation due to wall effect is neglected. Based on the antisymmetric N shaped waveform solution, we obtain an asymmetric one which can fit the actual N wave better. Secondly, we assume that the wall effect is much smaller than the nonlinear effect of acoustic wave, and hence, the approximate solution of the generalized Burgers equation is obtained by perturbation method. Finally, the experimental investigation is described and discussed briefly. It is shown that the experimental data are in good agreement with the theoretical calculations proposed in the paper.