An analytical model for the structure of the detonation waves. Application for hypersonic propulsion
Keywords:Chapman-Jouguet mass rate, equivalent Mach number, isoenergetic flow
The gas flow field within an 1D normal detonation wave at variable specific heats and viscosity with temperature is considered. Such detonation waves appear in the so called air-breathing scramjet engines used at hypersonic speed in order to avoid the dissociation by slowing down the flow to subsonic speeds. The obtained waves are possible by adjusting the mass flow to Chapman-Jouguet rates when the strong detonation and weak detonation point coincide. At some distance from the wave, the flow is isoenergetic (constant total enthalpy) as there is no time for heat transfer. Examples of application for combustion of Hydrogen in air with attention on NO formation when air is in excess are given.
BERBENTE, Corneliu, CRUN?EANU, Daniel, DINU, Maria-Ramona, Flows accompanied by normal shock considering the variation with temperature of thermodynamic functions, UPB Sci. Bull. series D, 73, 1, pp. 151?163, 2011.
CONSTANTINESCU, V.N., Dinamica fluidelor vâscoase in regim laminar, Edit. Academiei Române, Bucharest, 1987, pp. 82?83, 271?278.
BERBENTE, C., BREBENEL, M., Aerodinamica ma?inilor cu palete, Edit. Academiei Române, Bucharest, 1987, pp. 69?72, 883?884, 891?892.
BIRD, R.B., STEWART, W.E., LIGHTFOOT, E.N., Transport Phenomena, Wiley, New York, 1960.
LANDAU, L.D., LIFSCHITZ, E.M, Mécanique des fluides, MIR, Moscow, 1971, pp.425?431.
Mc.BRIDE, B.J., ZEHE, M.J., GORDON, S., NASA Glenn coefficients for calculating thermodynamic properties of individual species, NASA/TP-2002-21556, September 2002.
BERBENTE, Corneliu, CRUN?EANU, Daniel, RACO?I, Dan, On the interpretation of certain thermodynamic functions and coefficients for ideal gases in terms of average values within temperature intervals, Termotehnica, XIII, 1, pp. 33?42, 2009.
BERBENTE, C., BERBENTE, S., Oblique shock waves in 2D supersonic flow considering variable specific heats with temperature, Proceedings of the 34th ARA Congress, Bucharest, May 18–23, 2010, pp. 444?446, Polytechnic Int. Press, Montreal, Quebec, 2010.
BERBENTE, Corneliu, BERBENTE, Sorin, BREBENEL, Marius, A detailed laminar flow field within the normal shock wave considering variable specific heats, viscosity and Prandtl numbers, INCAS BULLETIN, 5, 1, pp. 34?44, 2013.
LEVEN?IU, C., CABOT, G., RENOU, B., Experimental analysis of the thermal structure of highly turbulent premixed flame, Conference on Highly Resolved Experimental and Numerical Diagnostics for Turbulent Combustion, CORIA, Rouen, France, May 25–26, 2011.
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