The effects of processes heating and evaporation of droplet on the Low frequency combustion instability

Authors

1 Malek Ashtar University of Technology

2 Malek-e-Ashtar University of technology

3 Organization of Aerospace industry

Abstract

In the present study, the low frequency combustion instability using lag time Szuch and Wenzel has been investigated. For the analysis effect of evaporation on combustion instability from lag time the fuel and oxidizers is used, so that Stability boundaries of performances engine is obtained. in the combustion chamber each of processes of atomization, evaporation, mixing and ignition have a lag time for themselves, In the meantime, the evaporation lag time is dominant and therefore as combustion controller process be considered. In the result with this assumption, the time of evaporation that previous stage was obtained to enter drop evaporation equations into and with the use of the equations for energy and mass preservation and transfer of Mass and heat has been analysis. So in the end the ITC model has been used and we can to calculate the drop diameter in the specific evaporation time. To do this, the software is provided. According to calculations, To lag time evaporation of 1.4 milliseconds, diameter drops 123.4 micron for normal heptane has been obtained.

Keywords

Main Subjects


[1] Fang J (1984) Application of combustion time lag theory to combustion stability analysis of liquid and gaseous propellant rocket engines. AIAA Paper.
[2]  Crocco L, Cheng SI (1956) Theory of combustion instability in liquid propellant rocket motors. Butterworths Publications Ltd, London.
[3] Wenzel LM, Szuch J (1965) Analysis of chugging in liquid-bipropellant rocket engines using propellants with different vaporizations rates. NASA TN D-3080.
[4]  Heidmann MF, Sokolowski DE, Diehl LA (1967) Study of chugging instability with liquid-oxygen and gaseous- hydrogen combustors. NASA TND-4005.
[5]  Wood DJ, Dorsch R (1967) Effect of propellant feed system coupling and hydraulic parameters on analysis of chugging. NASA TN D-3896.
[6] Kahn DR (1975) Orbital maneuvering engine-feed system coupled stability investigation. NASA CR-150944.
[7]  Lim KC, George PE (1987) Combustion stability analysis of preburners durng engine shutdown. AIAA Paper.
[8]  Ordonneau G (2000) Analysis and modeling of VULCAIN engine shutdown transient chugging. ONERA TP.
[9] Abramzon B, Sirignano WA (1989) Droplet vaporization model for spray combustion calculations. Int J Heat Mass Trans 32(9): 1605-1618.
[10] Bertoli C, Migliaccio M (1999) A finite conductivity model for diesel spray evaporation and computations, Int J Heat Fluid Flow 20: 552-561.
[11] Renksizbulut M, Yuen MC (1983) Experimental study of droplet evaporation in a high temperature air stream. ASME J Heat Transfer 105: 384-388.
[12] Zeng Y, Lee CF (2002) A preferential vaporization model for multicomponent droplets and sprays. Atomization Sprays.
[13] Wakil MM, Uyehara OA, Myers PS (1954) A theoretical investigation of the heating-up period of injected fuel droplets vaporizing in air. NACA Technical Note 3179.
[14] Reitz RD (1987) Modelling atomisation process in high-pressure vaporizing spray, atomisation and spray technology 3: 309-337.
[15] Harrje DT, Reardon FH (1972) Liquid propellant rocket combustion instability. NASA, NASA SP-194, Washington, DC.
[16] Ogata K (2002) Modern control engineering. 4th edn. Prentice-Hall, Inc., Upper Saddle River, NJ.
[17] Natanzon MS (1999) Combustion instability. Progress in Astronautics and Aeronautics, AIAA 222, Reston, VA.
[18] Bellen A,  Zennaro M, Golub GH, Schwab C, Light WA, Süli E (2003) Numerical methods for delay differential equations. Clarendon Press, Oxford.
[19] Lefebvre  AH (1989) Atomization and sprays. Hemisphere, Washington, DC.
[20] Sirignano WA (1999) Fluid dynamics and transport of droplets and sprays. Cambridge, Cambridge University Press.
[21] Dombrovsky LA, Sazhin SS, Sazhina EM, Feng G, Heikal MR, Bardsley MEA, Mikhalovsky SV (2001) Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation. Fuel 80(11): 1535-1544.
[22] Sazhin SS, Abdelghaffar WA, Sazhina EM, Mikhalovsky SV, Meikle ST, Bai C (2004) Radiative heating of semi-transparent diesel fuel droplets. ASME J Heat Trans 126: 105-109.
[23] "MATLAB®," The Mathworks, Inc., 1984-2009.
[24] Yaws CL (1999) Chemical properties handbook. McGraw-Hill, New York.
[25] Yin C (2015) Modelling of heating and evaporation of n-Heptane droplets: Towards a generic model for fuel droplet/particle conversion. Department of Energy Technology, Aalborg University, 9220 Aalborg East, Denmark, ScienceDirect 64-73.
[26] Ramezani AR (2013) Determine the range of  stability of low frequency, combustion chamber of liquid rocket engines  in terms of performance of thrust change. Iranian Combustion Institute 6(2). (In Persian)