Numerical Study on Nonlinear Effects of Compression Waves Propagated in a Tube.

In this paper, the nonlinear effects of compression waves propagated in a tube were numerically investigated. The equations of the one-dimensional, unsteady compressible flow with the skin friction of the wall in which the area of a tube varies with time are transformed into characteristic equations, and the variations of the pressure gradient and the strength of compression waves are numerically solved by the method of characteristics. The calculations are performed for tubes with various diameters and compression waves which have various strengths and pressure gradients with time. The calculated results clarified quantitatively the effects of these parameters for nonlinear effects of compression waves propagated in a tube.