Nonsteady radial expansion of a gas into a flooded space from a suddenly turned on steady source
- 23 Downloads
The problem of the radial expansion of a gas into a medium of low pressure from a suddenly turned on steady source with M ≥1 is examined in the report. The examination concerns mainly the unsteady flow of gas in the initial stage of expansion. The laws of motion of the surface of a powerful explosion, which determine the structure of the region of flow, are established for the initial stage of expansion with the help of a simple approximate solution of the problem. A method is proposed and a numerical solution of the problem is obtained for a viscous thermally conducting gas in a general formulation.
KeywordsMathematical Modeling Mechanical Engineer Approximate Solution Industrial Mathematic Unsteady Flow
Unable to display preview. Download preview PDF.
- 1.V. N. Gusev, “On the start-up of supersonic nozzles,” Inzh. Zh., No. 1 (1961).Google Scholar
- 2.I. M. Naboko, V. A. Belavin, V. V. Golub, and A. I. Opara, “Study of the nonsteady structure of the stream during the escape of a shock-heated gas,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1973).Google Scholar
- 3.G. A. Simons, “The large time behavior of a steady spherical source expanding into an arbitrary ambient gas,” AIAA Paper, No. 70, 232 (1970).Google Scholar
- 4.G. G. Chernyi, “The problem of a point explosion,” Dokl. Akad. Nauk SSSR,112. No. 2 (1957).Google Scholar
- 5.Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Gasdynamic Phenomena [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
- 6.L. I. Sedov, Methods of Similarity and Dimensionality in Mechanics [in Russian], Nauka, Moscow (1965).Google Scholar
- 7.V. P. Korobeinikov, N. S. Mel'nikova, and E. V. Ryzanov, Theory of a Point Explosion [in Russian], Fizmatgiz, Moscow (1961).Google Scholar
- 8.M. F. Shirokov, The Physical Bases of Gasdynamics [in Russian], Fizmatgiz, Moscow (1958).Google Scholar
- 9.A. K. Rebrov and S. F. Chekmarev, “Spherical escape of a viscous thermally conducting gas into a flooded space,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1971).Google Scholar
- 10.S. K. Godunov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1971).Google Scholar