Abstract
A solution is given in [1] for the problem of the supersonic flow of a combustible gas mixture past a sphere, using one of the simplest models of the combustion zone structure. The entire flow behind the shock wave in this model consists of two regions of adiabatic flow-an induction region and a region of equilibrium flow of combustion products-separated by the combustion front. Mixture passage through the front is accompanied by instantaneous combustion. The solution is given only for the subsonic and transonic regions.
In the following the same problem is solved under the assumption that the reactions behind the combustion front proceed in equilibrium. The model used is that of a two-component mixture of the initial and combustion products with a single first-order chemical reaction taking place. This model is used to illustrate the effect of nonequilibrium on the flow pattern and the distribution of the functions in the shock layer. The solution may be used in the vicinity of the axis of symmetry for the case of combustible mixture flow past a blunt body of arbitrary shape.
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References
S. M. Gilinskii and G. G. Chernyi, “Supersonic combustible gas mixture flow past a sphere with account for the ignition delay time,” Izv. AN SSSR, MZhG [Fluid Dynamics], no. 1, 1968.
W. Fichett and W. W. Wood, “Flow calculation for pulsating one-dimensional deronarions,” Phys. Fluids, vol. 9, no. 5, 1966.
S. M. Gilinskii, G. F. Telenin, and G. P. Tinyakov, “Method for calculating supersonic flow past blunt bodies with detached shock,” Izv. AN SSSR, OTN, Mekhanika i mashinostroenie, no. 4, 1964.
O. M. Belotserkovskii and V. K. Dushin, “Effect of nonequilibrium dissociation on supersonic flow past blunt bodies,” Zh. vychisl. matem. i matem. fiz., no. 5, 1964.
Z. D. Zapryanov and V. B. Minostsev, “Method for calculating supersonic three-dimensional gas flow past bodies,” Izv. AN SSSR, OTN, Mekhanika i mashinostroenie, no. 5, 1964.
S. M. Gilinskii and G. F. Telenin, “Supersonic flow past bodies of various shapes with detached shock,” Izv. AN SSSR, OTN, Mekhanika i mashinostroenie, no. 5, 1964.
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In conclusion the author wishes to thank G. G. Chernyi for his guidance in performing this study.
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Gilinskii, S.M. Combustible mixture flow ahead of a blunt body. Fluid Dyn 3, 47–51 (1968). https://doi.org/10.1007/BF01013551
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DOI: https://doi.org/10.1007/BF01013551