Propagation of blast waves with exponential heat release and internal heat conduction and thermal radiation

Springer Science and Business Media LLC - Tập 3 - Trang 95-104 - 1993
W. Gretler1, P. Wehle1
1Institute of Fluid Mechanics and Gas Dynamics, Technical University of Graz, Inffeldgasse 25, Austria

Tóm tắt

The problem of reactive blast waves in a combustible gas mixture, where the heat release at the detonation front decays exponentially with the distance from the center, is analyzed. The central theme of the paper is on the propagation of reactive blast into a uniform, quiescent, counterpressure atmosphere of a perfect gas with constant specific heats. The limiting cases of Chapman-Jouguet detonation waves are considered in the phenomenon of point explosion. In order to deal with this problem, the governing equations including thermal radiation and heat conduction were solved by the method of characteristics using a problem-specific grid and a series expansion as start solution. Numerical results for the distribution of the gas-dynamic parameters inside the flow field are shown and discussed.

Tài liệu tham khảo

Abdel-Raouf AM, Gretler W (1991) Quasi-similar solutions for blast waves with internal heat transfer effects. Fluid Dynamics Research 8:273–285 Jouguet E (1917) In: Doin et fils (ed) La mechanique des explosifs. Paris, pp 359–366 Kailbauer F, Gretler W (1991) Perturbation solutions for blast waves with convective and radiative heat transfer. Acta Mechanica 88:127–140 Korobeinikov VP (1969) The problem of point explosion in a detonating gas. Astronautica Acta 14:411–419 Ohyagi S, Ohsawa A (1983) Analysis of reactive blast waves propagating through gaseous mixtures with spatially distributed chemical energy. In: Bowen JR, Manson N, Oppenheim AK, Soloukhin RI (eds) Shock waves, explosions and detonations (Progress in astronautics and aeronautics 87). pp 157–174 Oppenheim AK, Kuhl AL, Kamel MM (1972) On self-similar blast waves headed by the Chapman-Jouguet detonation. J Fluid Mech 55:257–270 Oppenheim AK, Lundstrom EA, Kuhl AL, Kamel MM (1971) A systematic exposition of the conservation equations for blast waves. Journal of Applied Mechanics 38:783–794 Oshima K (1960) Quasi-similar solutions of blast waves. Aero Research Institute, Report No. 386, University of Tokyo Pomraning GC (1973) The equations of radiation hydrodynamics. In: Ter Haar D (ed) Int Ser Monographs in Natural Philosophy 54. Pergamon Press, Oxford, pp 88,91–92 Taylor GI (1950) The dynamics of the combustion products behind plane and spherical detonation fronts in explosives. Proc R Soc A 200:235–247 Wehle P, Gretler W (1991) Numerisches Charakteristikenverfahren zur Berechnung der Explosion. Acta Astronautica 25:209–221 Zel'dovich Y (1942) Distribution of pressure and velocity in the products of a detonating explosion, and in particular in the case of a spherical propagation of the detonation waves. Journal of Exp Theor Phys (USSR) 12:389–406