Numerical investigation of the laminar shock-wave gas flow excited by harmonic vibrations of the piston in a closed cylindrical tube

The shock-wave gas flow in a closed cylindrical tube caused by harmonic vibrations of a flat piston has been considered. The solution has been obtained by means of numerical integration of the system of nonstationary equations of a narrow channel written in divergent form. A scheme of the 1st order of time accuracy and a scheme of the 2nd order of space accuracy have been used. The regularities in the behavior of the dynamic and temperature boundary layers for the unstable regime of gas flow in the tube at various moments of the cycle have been analyzed. © 2006 Springer Science+Business Media, Inc.