|

Mathematical Model of the Cooling System of Combustion Chambers of Aviation Ramjet Engines using Endothermic Fuels

Authors: Toktaliev P.D., Martynenko S.I. Published: 08.02.2015
Published in issue: #1(58)/2015  
DOI: 10.18698/1812-3368-2015-1-84-98

 
Category: Informatics, Computer Engineering and Control | Chapter: Mathematical Modelling. Numerical Methods, and Software Systems  
Keywords: endothermic fuels, mathematical simulation, ramjet engines

The paper represents 3D mathematical model of the conjugate heat transfer at turbulent motion of the endothermic fuels in the heated curvilinear rough channels of the cooling system of an aviation ramjet engine. One-stage model based on replacement of the real hydrocarbon substance by some fictitious matter is used for the description of the endothermic fuel pyrolysis. The fictitious matter decomposes without any intermediate reaction. Equation for computation of the local decomposition degree and term in the energy equation accounting the endothermic effect of the fuel pyrolysis are given. The paper demonstrates results of the numerical study of the heat transfer in various designs of cooling system using the pentane as an endothermic fuel under supercritical pressure.

References

[1] Yanovski L. Endothermic fuels for hypersonic aviation. Proc. 31th Symp. "AGARD Propulsion and Energetic Panel", sect. "Fuels and Combustion Technology for Advanced Aircraft Engines". Fiuggi, Italy, 1993, 10-14 May, pp. 1-44.

[2] Yanovskiy L.S., Fedorov E.P., Kovalev G.I., Nemchikov M.L. Investigation of the thermal degradation of the endothermic fuel at high pressures. Voprosy aviatsionnoy nauki i tekhniki. Ser. Aviats. Dvigatelestroenie [Questions of Aviation Sci. Tech. Ser. Aviation Engine Technology], 1987, no. 3, pp. 41-51 (in Russ.).

[3] Yanovskiy L.S., Shigabiev T.N., Galimov F.M., Ivanov V.F. Endotermicheskie topliva i rabochie tela silovykh i energeticheskikh ustanovok [Endothermic fuels and working medium of propulsion and power plants]. Kazan’, RAN Publ., 1996. 264 p.

[4] Yanovskiy L.S., Favorskiy O.N. Features of heat transfer to the endothermic fuel in the initial portion of the heated channel in a liquid-phase autoxidation. Sb. statey TsIAM "Problemy khimicheskoy regeneratsii tepla v letatel’nykh apparatakh i silovykh ustanovkakh" [Collect. Pap. of the Baranov Central Institute of Aviation Motor "Problems of chemical heat recovery in the aircraft and power plants"]. Moscow, 1990, no. 1284, pp. 31-44 (in Russ.).

[5] Hazlett R. Progress report on advanced hydrocarbon fuel development. Naval Research Laboratory (NRL), 1975, по. 342, 140 p.

[6] Zhong F.Q., Fan X.J., Yu G. Thermalcracking of aviation kerosene for scramjet application. Sci. China Tech. Sci., 2009, vol. 52, pp. 2644-2652.

[7] Ward T.A., Ervin J.S., Striebich R.C. Simulation flowing mildly-cracked normal alkanes incorporating proportional product distribution. J. Propul. Power, 2004, vol. 20, pp. 394-402.

[8] Ward T.A., Ervin J.S., Zabarnick S. Pressure effect on flowing mildly-cracked n-decane. J. Propul. Power, 2005, vol. 21, pp. 344-355.

[9] Zel’dovich Ya.B. Vysshaya matematika dlya nachinayushchikh i ee prilozheniya k fizike [Higher mathematics for beginners and its applications to physics]. Moscow, Fizmatlit Publ., 2010. 520 p.

[10] Danckwerts P.V. Local residence-times in continuous flow systems. Chem Eng. Sci., 1958, по. 9, pp. 78-79.

[11] Baleo J.N., Le Cloirec P. Validating a prediction method of mean residence time spatial distributions. AIChE J., 2000, по. 46, iss. 4, pp. 675-683.

[12] Froment G.F., Bischoff K.B. Chemical reactor analysis and design. NY, John Wiley & Sons, Inc., 1979. 765 p.

[13] John V., Angelov I., Oncul A.A., Thevenin D. Techniques for the reconstruction of a distribution from a finite number of its moments. Chem. Eng. Sci., 2007, по. 62, pp. 2890-2904.