Abstract
This work deals with pre-vaporized n-heptane auto-ignition in turbulent flows. The paper applies the Eulerian Stochastic Field method to the solution of the sub-grid joint-scalar probability density function (PDF) of the reacting scalars in the Large Eddy Simulations (LES) context. A reduced mechanism of 22 species and 18 reactions is used to model n-heptane chemical kinetics. The method is able to reproduce the different regimes observed experimentally and studies the influence of inflow temperature fluctuations.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Blouch, J.D., Law, C.K.: Effects of turbulence of non-premixed ignition of hydrogen in heated counterflow. Combust. Flame 132, 512–522 (2003)
Mastorakos, E., Baritaud, T.A., Poinsot, T.J.: Numerical simulations of autoignition in turbulent mixing flows. Combust. Flame 109, 198–223 (1997)
Cao, S., Echekki, T.: Auto-ignition in nonhomogeneous mixtures: conditional statistics and implications for modeling. Combust. Flame 151, 120–141 (2007)
Lawn, C.J.: Lifted flames on fuel jets in co-flowing air. Prog. Energy Combust. Sci. 35, 1–30 (2009)
Pierce, C.D., Moin, P.: A dynamic model for subgrid variance and dissipation rate of a conserved scalar. Phys. Fluids 10(12), 3041–3044 (1998)
Branley, N., Jones, W.P.: Large eddy simulation of a turbulent non-premixed flame. Combust. Flame 127, 1914–1934 (2001)
Pitsch, H., Steiner, H.: Large-eddy simulation of a turbulent piloted methane/air diffusion flame (Sandia flame D). Phys. Fluids 12, 10, 2541–2554 (2000)
Navarro-Martinez, S., Kronenburg, A., di Mare, F.: Conditional moment closure for large eddy simulations. Flow Turbul. Combust. 75, 245–274 (2005)
Hawkes, E.R., Cant, R.S.: A flame surface density approach to large-eddy-simulation of premixed turbulent combustion. Proc. Combust. Inst. 28, 51–58 (2000)
Huang, Y., Sung, H., Hsieh, S., Yang, V.: Large-eddy simulation of combustion dynamics of lean-premixed swirl-stabilized combustor. J. Propuls. Power 19(5), 782–794 (2003)
Pitsch, H.: A consistent level set formulation for large-eddy simulation of premixed turbulent combustion. Combust. Flame 143, 587–598 (2005)
Pitsch, H.: Large eddy simulations of turbulent combustion. Annu. Rev. Fluid Mech. 38, 453–482 (2006)
Gao, F., O’Brien, E.: A large eddy simulation scheme for turbulent reacting flows. Phys. Fluids, A 5, 1282–1284 (1993)
Raman, V., Pitsch, H., Fox, R.O.: Hybrid large-eddy simulation/lagrangian filtered density function approach for simulating turbulent combustion. Combust. Flame 143, 56–78 (2005)
Raman, V., Pitsch, H.: A consistent les/filtered-density function formulation for the simulation of turbulent flames with detailed chemistry. Proc. Combust. Inst. 31, 1711–1719 (2007)
Valiño, L.: A field Monte carlo formulation for calculating the probability density function of a single scalar in a turbulent flow. Flow Turbul. Combust. 60, 157–172 (1998)
Sabel’nikov, V., Soulard, O.: Rapidly decorrelating velocity-field model as a tool for solving one-point fokker-planck equations for probability density functions of turbulent reactive scalars. Phys. Rev., E 72, 016301–016322 (2005)
Mustata, R., Valiño, L., Jimenez, C., Jones, W.P., Bondi, S.: A probability density function eulerian monte carlo field method for large eddy simulations. Application to a turbulent piloted methane/air diffusion flame. Combust. Flame 145, 88–104 (2006)
Jones, W.P., Navarro-Martinez, S.: Large eddy simulation of auto-ignition with a subgrid probability density function. Combust. Flame 150, 170–187 (2007)
Gkagkas, K., Lindstedt, R.P.: Transported PDF modelling with detailed chemistry of pre and auto-ignition in Ch4/air mixtures. Proc. Combust. Inst. 31, 1559–1586 (2007)
Cabra, R., Chen, J.Y., Dibble, R.W., Karpetis, A.N., Barlow, R.S.: Lifted methane-air jet flames in vitiated coflow. Combust. Flame 143, 491–506 (2005)
Masri, A.R., Cao, R., Pope, S.B., Goldin, G.M.: Pdf calculations of turbulent lifted flames of h2/n2 fuel issuing into a vitiated co-flow. Combust. Theory Model. 8, 1–2 (2004)
Domingo, P., Vervisch, L., Veynante, D.: Large-eddy simulation of a lifted methane flame in a vitiated coflow. Combust. Flame 152, 415–432 (2008)
Navarro-Martinez, S., Kronenburg, A.: Les-cmc simulations of a methane lifted flame. Proc. Comb. Inst. 32, 1509–1516 (2009)
Paola, G.D., Kim, I.S., Mastorakos, E.: Second-order conditional moment closure simulations of autoignition of an n-heptane plume in a turbulent coflow of heated air. Flow Turbul. Combust. doi:10.1007/s10494-008-9183-x (2008)
Lee, C.W., Mastorakos, E.: Transported scalar pdf calculations of autoignition of a hydrogen jet in a heated turbulent co-flow. Combust. Theory Model. 12, 1153–1178 (2008)
Galpin, J., Angelberger, C., Naudin, A., Vervisch, L.: Large-eddy simulation of h2-air auto-ignition using tabulated detailed chemistry. J. Turbul. 9(13), 1–21 (2008)
Jones, W.P., Navarro-Martinez, S.: Study of hydrogen auto-ignition in a turbulent air co-flow using a large eddy simulation approach. Comput. Fluids 37, 802–808 (2008)
Smagorinsky, J.: General circulation experiments with the primitive equations. Mon. Weather Rev. 91, 99–164 (1963)
Piomelli, U., Liu, J.: Large eddy simulation of rotating channel flows using a localized dynamic model. Phys. Fluids 7(4), 893–848 (1995)
Colucci, P.J., Jaberi, F.A., Givi, P., Pope, S.B.: Filtered density function for large eddy simulation of turbulent reacting flows. Phys. Fluids 10, 499–515 (1998)
Jaberi, F.A., Colucci, P.J., James, S., Givi, P., Pope, S.B.: Filtered mass density function for large-eddy simulation of turbulent reacting flows. J. Fluid Mech. 401, 85–121 (1999)
Schmidt, H., Schumann, U.: Coherent structure of the convective boundary layer derived from large eddy simulation. J. Fluid Mech. 200, 511–562 (1989)
Fox, R.O.: Computational Models for Turbulent Reacting Flows. Cambridge University Press, Cambridge (2003)
Villermaux, J., Devillon, J.C.: Représentation de la redistribution des domaines de ségrégation dans un fluide par un modéle dinteraction phénoménologique. In: Proceedings of the Second International Symposium on Chemical Reaction Engineering. Elsevier, Amsterdam (1972)
Dopazo, C., O’Brien, E.: Functional formulation of nonisothermal turbulent reactive flows. Phys. Fluids 17(11), 1968–1975 (1974)
Dopazo, C.: Probability density function approach for an axisymmetric heated jet: centerline evolution. Phys. Fluids 18, 397–404 (1975)
Jones, W.P., Navarro-Martinez, S., Rohl, O.: Large eddy simulation of hydrogen auto-ignition with a probability density function method. Proc. Comb. Inst. 31, 1765–1771 (2007)
Kloeden, P.E., Platen, E.: Numerical Solution of Stochastic Differential Equations, English edn. Springer, New York (1992). ISBN 3-540-54062-8
Gardiner, C.: Handbook of Stochastic Methods, English edn. Springer-Verlag, New York (1985)
Markides, C.N., Mastorakos, E.: An experimental study of hydrogen auto-ignition in a turbulent co-flow of heated air. Proc. Combust. Inst. 30, 883–891 (2005)
Markides, C.N., Paola, G.D., Mastorakos, E.: Measurements and simulations of mixing and auto-ignition of an n-heptane plume in a turbulent flow of heated air. Exp. Therm. Fluid Sci. 31, 393–401 (2007)
Jones, W.P., di Mare, F., Marquis, A.J.: LES-BOFFIN: Users Guide. Technical Memorandum, Imperial College, London (2002)
Branley, N., Jones, W.P.: Large eddy simulation of turbulent flames. In: CD-Rom Proceedings. ECCOMAS, Barcelona (2000)
Van Leer, B.: Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second order scheme. J. Comput. Physics 14, 361–370 (1974)
di Mare, L., Klein, M., Jones, W.P., Janicka, J.: Synthetic turbulence inflow conditions for large eddy simulation. Phys. Fluids 18, 025107–025118 (2006)
Markides, C.N., Mastorakos, E.: Flame propagation following the autoignition of axisymmetric hydrogen, acetylene, and normal-heptane plumes in turbulent coflows of hot air. J. Eng. Gas Turbines Power-Trans ASME 130(1). doi:10.1115/1.2771245 (2008) (51st ASME Turbo Expo, Barcelona, SPAIN, 6–11 May 2006)
Westbrook, C.K., Pitz, W.J., Boercker, J.E., Curran, H.J., Griffiths, F., Mohamed, C., Ribaucour, M.: Detailed chemical kinetic reaction mechanisms for autoignition of isomers of heptane under rapid compression. Proc. Combust. Inst. 29, 1311–1318 (2002)
Liu, S., Hewson, J.C., Chen, J.H., Pitsch, H.: Effects of strain rate on high-pressure non-premixed n-heptane auto-ignition in counterflow. Combust. Flame 137, 320–339 (2004)
Cant, R.S., Mastorakos, E.: An Introduction to Turbulent Reacting Flows. Imperial College Press, London (2008)
Peters, N.: Turbulent Combustion. Cambridge University Press, Cambridge (2000)
Paola, G.D., Kim, I.S., Mastorakos, E.: Second order conditional moment closure simulations of auto-ignition of an n-heptane plume in a turbulent coflow of heated air. In: ECCOMAS, Computational Combustion Symposium (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jones, W.P., Navarro-Martinez, S. Numerical Study of n-Heptane Auto-ignition Using LES-PDF Methods. Flow Turbulence Combust 83, 407–423 (2009). https://doi.org/10.1007/s10494-009-9228-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10494-009-9228-9