DEVELOPMENT OF LONGITUDINAL GAS OSCILLATIONS IN A CLOSED TUBE

✍ Scribed by A.A. Aganin; M.A. Ilgamov; E.T. Smirnova

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 316 KB
• Volume: 195
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0431

✦ Synopsis

A comparison is made of solutions of the problem of longitudinal gas oscillations in a closed tube for two ideal gas models. The models differ in their energy equations. This is entropy conservation in the first case and total energy conservation in the second one. Unlike in many other works, mainly devoted to the steady state regime, transient processes and the influence of initial conditions are considered. The oscillations are excited by a plane piston with a sine law displacement. The frequency band under consideration lies in the neighborhood of the first natural frequency of the tube where shock waves are known to appear. The investigation is made numerically on the basis of the effective finite difference method which belongs to the class of high resolution schemes of the second order in both space and time. The results obtained are compared with some known theoretical solutions, found by the small parameter method, and with experimental data corresponding to the steady state regime.