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Mechanics of Turbulent Flow in Combustors for Premixed Gases

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Modern Research Topics in Aerospace Propulsion
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Abstract

In order to reveal the mechanism of turbulent flow in a premixed combustor, a numerical technique, using Chorin’s random vortex method to solve the Navier-Stokes equations and an interface propagation algorithm to trace the motion of the combustion front, are employed. A successive over-relaxation hybrid method is used as the initial step in the computational scheme to solve the Euler equations for a planar flow field.

Solutions obtained thereby for a backfacing step, the essential element of a planar dump combustor, turn out to be in satisfactory agreement with experimental results especially insofar as the global properties are concerned, such as the average velocity profiles and the reattachment lengths. Velocity fluctuations are found to compare well with experimental data, exhibiting, however, some discrepancies that can be ascribed to the omission of three-dimensional effects and the relatively small size of numerical data sampled for their evaluation.

The combustion field appears to be dominated by the large-scale eddy structure of the turbulent shear layer, whereby the effects of advection overpower those of diffusion—enhancing the entrainment of the fresh mixture into the combustion region. Under such circumstances, the front of the combustion zone acquires the properties of an interface between the unburnt medium and the burnt gases, rather than a flame, while the exothermic regime, being effectively decoupled from it, is confined within the kernel of the large-scale eddy.

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References

  • Ashurst, W.T., 1981, “Vortex Simulation of a Model Turbulent Combustor,” Prog. Astronaut. Aeronaut., 76, 259–273.

    Google Scholar 

  • Ashurst, W.T., Durst, F., and Tropea, C., 1980, “Two-Dimensional Separated Flow Experiment and Discrete Vortex Dynamics Simulation,” AGARD Report, 24,1–13.

    Google Scholar 

  • Briggs, M., Mellor, G., and Yamada, Y., 1976, “A Second-Moment Turbulence Model Applied to Fully Separated Flows,” Turbulence in Internal Flows (S.N.B. Murthy, ed.), Hemisphere Publlshing Co.. Washington.

    Google Scholar 

  • Chen, D.-Y., Ghoniem, A.F., and Oppenheim, A.K., 1983, “Experimental and Theoret-ical Study of Combustion Jet Ignition,” NASA Report CR-168–139, 130 pp.

    Google Scholar 

  • Chorin, A.J., 1973, “Numerical Studies of Slightly Viscous Flow,” J. Fluid Mech., 57, 785–796.

    Article  MathSciNet  Google Scholar 

  • Chorin, A.J., 1978, “Vortex Sheet Approximation of Boundary Layers,” J. Comput. Phys., 27, 428–442.

    Article  MATH  Google Scholar 

  • Chorin, A.J., 1980, “Flame Advection and Propagation Algorithms,” J. Comput. Phys., 35, 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  • Chorin, A.J., 1986, “Vortex Methods for the Study of Turbulent Combustion at a Low Mach Number,” Progress in Astronautics and Aeronautics, 105, 14–21.

    Google Scholar 

  • Dai, Y.W., Ghoniem, A.F., Sherman, F.S., and Oppenheim, A.K., 1983, “Numerical Modeling of Turbulent Flow in a Channel,” NASA Report CR-168–278, 63 pp.

    Google Scholar 

  • Durst, F., and Tropea, C., 1981, “Turbulent, Backward-Facing Step Flows in Two-Dimensional Ducts and Channels,” Proceedings of the Third International Symposium of Turbulent Shear Flows, Davis, Calif., 18.1–186.

    Google Scholar 

  • Eaton, J.K., and Johnston, J.P., 1981, “A Review of Research on Subsonic Turbulent Flow Reattachment,” AIAA J., 19, 9, 1093–1100.

    Article  Google Scholar 

  • El-Benhawy, Y., Sivasegram, S., and Whitelaw, J.H., 1983, “Premixed, Turbulent Combustion of a Sudden-Expansion Flow,” Combustion and Flame, 50, 153–165.

    Article  Google Scholar 

  • Etheridge, D.W., and Kemp, P.H., 1978, “Measurement of Turbulent Flow Downstream of a Rearward-Facing Step,” J. Fluid Mech., 86, 3, 545–566.

    Article  Google Scholar 

  • Ganji, A.R., and Sawyer, R.F., 1980, “An Experimental Study of the Flow Field of a Two-Dimensional Premixed Turbulent Flame,” AIAA J., 18, 817–824.

    Article  Google Scholar 

  • Ghoniem, A.F., and Oppenheim, A.K., 1984, “Numerical Solution for the Problem of Flame Propagation by the Random Element Method,” AIAA J., 22,10,1429–1435.

    Article  Google Scholar 

  • Ghoniem, A.F., Chen, D.Y., and Oppenheim, A.K., 1986, “Formation and Inflam mation of a Turbulent Jet,” AIAA J., 24, 2, 224–229.

    Article  Google Scholar 

  • Ghoniem, A.F., Chorin, A.J., and Oppenheim, A.K., 1981, “Numerical Modeling of Turbulent Combuation in Premixed Gases,” Eighteenth Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Pa., 1375–1383.

    Google Scholar 

  • Ghoniem, A.F., Chorin, A.J., and Oppenheim, A.K., 1982, “Numerical Modelling of Turbulent Flow in a Combustion Tunnel,” Phil. Trans. R. Soc. Lond., A 304, 303–325.

    Article  MATH  Google Scholar 

  • Hsiao, C.C., and Oppenheim, A.K., 1985, “Aerodynamic Properties of Turbulent Combustion Fields,” NASA Contractor Report 175–005, 126 pp.

    Google Scholar 

  • Hsiao, C.C., Ghoniem, A.F., Chorin, A.J., and Oppenheim, A.K., 1985, “Numerical Simulation of a Turbulent Flame Stabilized Behind a Rearward-Facing Step,” Twentieth Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Pa., 495–504.

    Google Scholar 

  • Keller, J.O., Vaneveld, L., Krochlet, D., Hubbard, G.L., Ghoniem, A.F., Daily, J.W., and Oppenheim, A.K., 1982, `Mechanisms of Instabilities Leading to Flashback,’ AIAA J., 20, 2, 254–262.

    Article  Google Scholar 

  • McDonald, H., 1979, “Combustion Modeling in Two and Three Dimensions-Some Numerical Considerations,” Prog. Energy Combustion Science, 5, 97–122.

    Article  Google Scholar 

  • Mellor, A.M., and Ferguson, C.R., 1980, “Practical Problems in Turbulent Reacting Flow,” Turbulent Reacting Flows (P. Libby and F. Williams, eds.), Springer-Verlag, 45–64.

    Google Scholar 

  • Oppenheim, A.K., 1982, “Dynamic Effects of Combustion,” Proceedings of the Ninth U.S. National Congress of Applied Mechanics, ASME, New York, 29–40.

    Google Scholar 

  • Oppenheim, A.K., 1985, “Dynamic Features of Combustion.” Phil. Trans. R. Soc. Lond., A 315, 471–508.

    Article  Google Scholar 

  • Oppenheim, A.K., 1986, “The Beauty of Combustion Fields and Their Aerothermodynamic Significance.” Dynamics of Reactive Systems Part 1: Flames and Configurations. Progress in Astronautics and Aeronautics, AIAA, New York, 105, 3–13.

    Google Scholar 

  • Oppenheim, A.K., 1987, “Fluid Mechanical Control of Combustion,” Plenary Lecture, 11th Canadian Congress of Applied Mechanics, Edmonton, Canada, 31–44.

    Google Scholar 

  • Oppenheim, A.K., and Ghoniem, A.F. 1983, “Aerodynamic Features of Turbulent Flames,”AIAA Paper 83–0470, 10 pp.

    Google Scholar 

  • Oppenheim, A.K., and Rotman, D.A., 1987, “Fundamental Features of Ignition and Flame Propagation in Engines,” ASME Paper 87-ICE-21, 8 pp.

    Google Scholar 

  • Papilou, P.S., and Lykoudis, P.S., 1974, “Turbulent Vortex Streets and the Entrainment Mechanism of the Turbulent Wake,” J. Fluid Mech., 62, 11–31.

    Article  Google Scholar 

  • Peters, N., and Williams, F.A., 1980, “Coherent Structures in Turbulent Combustion,” The Role of Coherent Structures in Modeling Turbulence and Mixing (J. Jimenez, ed.), Lecture Notes in Physics, 136, Springer-Verlag.

    Google Scholar 

  • Pitz, R.W., and Daily, J.W., 1983, “Experimental Study of Combustion in a Turbulent Free Shear Layer Formed at a Rearward-Facing Step,” AIAA J., 21,11,1565–1570.

    Article  Google Scholar 

  • Rotman, D.A., and Oppenheim, A.K., 1986, “Aerothermodynamic Properties of Stretched Flames in Enclosures,” Twenty-first Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Pa., 1303–1312.

    Google Scholar 

  • Rotman, D.A., Pindera, M.Z., and Oppenheim, A.K., 1988, “Fluid Mechanical Properties of Flames in Enclosures,” XIth International Colloquium on Dynamics of Explosions and Reactive Systems, Warsaw, Poland, 15 pp.

    Google Scholar 

  • Shepherd, I.G., Moss, J.B., and Bray, K.N.C., 1982, “Turbulent Transport in a Confined Premixed Flame,” Nineteenth Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Pa., 423–431.

    Google Scholar 

  • Takagi, T., Shin, H., and Ishio, A., 1980, “Local Laminarization in Turbulent Flames,” Combustion and Flame, 37, 163–170.

    Article  Google Scholar 

  • Vaneveld, L., Hom, K., and Oppenheim, A.K., 1984, “Secondary Effects in Combustion Instabilities Leading to Flashback,” AIAA J., 22, 1, 81–82.

    Article  Google Scholar 

  • Walterick, R.E., Jagoda, J.E., Richardson, C.R.J., de Groot, W.A., Strahle, W.C., and Hubbartt, J.E., 1984, “Experimental and Computation on Two-Dimensional Turbulent Flow Over a Backward Facing Step,” AIAA-84–0013, AIAA 22d Aerospace Sciences Meeting, Reno, Nev.

    Google Scholar 

  • Williams, F.A., 1974, “A Review of Some Theoretical Consideration of Turbulent Flame Structure,” AGARD REP 43d Meetings, Lieye, Belgium, II, 1–125.

    Google Scholar 

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Oppenheim, A.K. (1991). Mechanics of Turbulent Flow in Combustors for Premixed Gases. In: Angelino, G., De Luca, L., Sirignano, W.A. (eds) Modern Research Topics in Aerospace Propulsion. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0945-4_1

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  • DOI: https://doi.org/10.1007/978-1-4612-0945-4_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6956-4

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