Abstract
We have investigated the interaction of a detonation with an interface separating a combustible from an oxidizing mixture. The ethylene-oxygen combustible mixture had a fuel-rich composition to promote secondary combustion with the oxidizer in the turbulent mixing zone that resulted from the interaction. Diffuse interfaces were created by the formation of a gravity current using a sliding valve that initially separated the test gas and combustible mixture. Opening the valve allowed a gravity current to develop before the detonation was initiated. By varying the delay between opening the valve and initiating the detonation it was possible to achieve a wide range of interface conditions. The interface orientation and thickness with respect to the detonation wave have a profound effect on the outcome of the interaction. Diffuse interfaces result in curved detonation waves with a transmitted shock and following turbulent mixing zone. The impulse was measured to quantify the degree of secondary combustion, which accounted for 1–5% of the total impulse. A model was developed that estimated the volume expansion of a fluid element due to combustion in the turbulent mixing zone and predicted the resulting impulse increment.
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References
Akbar, R.: Mach reflection of gaseous detonations. Ph.D. thesis, California Institute of Technology, Pasadena, California (1997)
Austin, J.: The role of instability in gaseous detonation. Ph.D. thesis, California Institute of Technology, Pasadena, California (2003)
Bull, D., Elsworth, J., McLeod, M.: Initiation of unconfined gas detonations in hydrocarbon-air mixtures by a sympathetic mechanism. In: Proc. of the 7th Int. Coll. on the Dynamics of Explosions and Reactive Systems (ICDERS). Göttingen, Germany (1979)
Calhoon, W., Sinha, N.: Detonation wave propagation in concentration gradients (2005). In: 43rd AIAA Aerospace Sciences Meeting and Exhibit, January 10-13, 2005, AIAA-2005-1167
Dabora E., Desbores D., Guerraud C. and Wagner H. (1991). Oblique detonations at hypersonic velocities. Progg. Aero. Astro. 133: 187–204
Dimotakis, P.: Turbulent free shear layer mixing and combustion. In: Prog. Astro. Aero., vol. 137, chap. 5, pp. 265–340. American Institute of Aeronautics and Astronautics (1991)
Donato, M., Donato, L., Lee, J.: Transmission of detonations through composition gradients. In: Proceedings of the First Specialists Meeting of The Combustion Institute. Bordeaux, France (1981)
Engebretsen, T., Bjerketvedt, D., Sonju, O.: Propagation of gaseous detonations through regions of low reactivity. In: Prog. Astro. Aero., vol. 153, pp. 324–346. American Institute of Aeronautics and Astronautics (1991)
Huang H., Dabiri D. and Gharib M. (1997). On errors of digital particle image velocimetry. Meas. Sci. Technol. 8: 1427–1440
Ishii, K., Kojima, M.: Propagation of detonations in mixtures with concentration gradients. In: Roy, G., Frolov, S., Shepherd, J. (eds.) Application of Detonation to propulsion (2004)
Kuznetsov M., Dorofeev S., Efimenko A., Alekseev V. and Breitung W. (1997). Experimental and numerical studies on transmission of gaseous detonation to a less sensitive mixture. Shock Waves 7: 297–304
Lieberman, D.: Detonation interaction with sharp and diffuse interfaces. Ph.D. thesis, California Institute of Technology, Pasadena, California (2005)
Liepmann, H., Roshko, A.: Elements of Gasdynamics. Dover (2001)
Pintgen, F., Shepherd, J.: Secondary pressure waves from rich fireballs. In: 20th International Colloquium on the Dynamics of Explosions and Reactive Systems. ICDERS, Montreal, Canada (2005)
Teodorczyk A. and Benoan F. (1996). Interaction of detonation with inert gas zone. Shock Waves 6: 211–223
Thomas G., Sutton P. and Edwards D. (1991). The behaviour of detonation-waves at concentration gradients. Combustion Flame 84(3–4): 312–322
Thurber M. and Hanson R. (1999). Pressure and composition dependences of acetone laser-induced fluorescence with excitation at 248, 266 and 308 nm. Appl. Phys. B 69: 229–240
Vetter M. and Sturtevant B. (1995). Experiments on the Richtmyer-Meshkov instability of an air/sf6 interface. Shock Waves 4(5): 247–252
White D. (1961). Turbulent structure of gaseous detonations. Phys. Fluids 4(4): 465–480
Wolf, M., Lieberman, D., Shepherd, J.: Characterization of gravity currents in a water channel for use in detonation refraction experiments. FM2005-006, Graduate Aeronautical Laboratories, California Institute of Technology (2005)
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Communicated by S. Dorofeev.
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Lieberman, D.H., Shepherd, J.E. Detonation interaction with a diffuse interface and subsequent chemical reaction. Shock Waves 16, 421–429 (2007). https://doi.org/10.1007/s00193-007-0080-3
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DOI: https://doi.org/10.1007/s00193-007-0080-3