Engineering theory for the chemical non-equilibrium Shockwave based on the ideal dissociating gas model
The ideal dissociating gas (IDG) model has been established and employed by Lighthill and Freeman before a half century to study the non-equilibrium flow behind a strong shockwave. However, so far, there still exist incompletenesses in the theoretical framework of this classical flow problem, and the explicit and direct relations between the pre and post-shock parameters have not been given out yet. In this paper, the theoretical modeling tradition is carried on, in aim to complete and enrich this theoretical framework. Considering that the oblique and bow Shockwave can be mapped to a normal one, we firstly explore the engineering theory for the fundamental normal shockwave flow under nonequilibrium real gas effects. A dissociationrecombination reaction rate equation is built based on the kinetic theory of molecules, and then appropriately simplified and approximately solved. For the first time, the main flow features, such as the equilibrium degree of dissociation, the nonequilibrium characteristic scale and the nonequilibrium transient process, are obtained in explicit and normalized forms in a large practical range of pre-shock state parameters. And the corresponding flow mechanism is also analyzed and discussed. The results are validated by the present direct simulation Monte Carlo (DSMC) results and the available experimental data. The present study is significant in completing the theoretical framework of this classical problem under the IDG model and also useful in engineering practice.
chemical non-equilibrium strong Shockwave ideal dissociating gas engineering theory
Wang Zhihui Bao Lin Tong Binggang
Graduate University of Chinese Academy of Sciences, Beijing, P.R. China 100049
国际会议
上海
英文
119-127
2011-11-21（万方平台首次上网日期，不代表论文的发表时间）