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Direct numerical simulation of premixed hydrogen-air flames subject to thermodiffusive effects in a fully developed turbulent channel flow at Reτ=530

Felix Rong*, Max Schneider, Hendrik Nicolai, and Christian Hasse

Andrea Gruber

  • *Contact author: rong@stfs.tu-darmstadt.de

Phys. Rev. Fluids 11, 093202 – Published 24 September, 2026

DOI: https://doi.org/10.1103/g5vm-6xjr

Abstract

Direct Numerical Simulations (DNS) of premixed hydrogen-air flames anchored in a fully developed turbulent channel flow (TCF) are performed at a friction Reynolds number of Reτ=530 and thermochemical conditions susceptible to the emergence of intrinsic thermodiffusive (TD) phenomena acting on the turbulent flame. Two premixed flames are studied: a slower flame (φ=0.25), predominantly propagating within the core flow, and a faster one (φ=0.35), reaching closer to the channel walls and intermittently quenching on it. The present DNS database provides new insights into the characteristics of premixed flames susceptible to TD phenomena and propagating in realistic near-wall shear turbulence. The influence of varying turbulence intensity, and of wall-distance dependent time and length scales, on the flame propagation characteristics is evaluated through a detailed analysis of the local stretch factor I0, quantifying reactivity enhancements caused by TD phenomena. At φ=0.25, the flame response to the fluid motions is mainly forced by the weaker turbulence present in the core flow. This results in an augmented I0 compared to the laminar reference value, suggesting reactivity enhancement by the strongly nonlinear interaction of TD phenomena with (relatively) weak turbulent motions present within the core flow. At φ=0.35, as the flame propagates from the core flow towards the channel walls, the flame response is forced by turbulence of increasing intensity, resulting in a corresponding augmentation of the Karlovitz number. Crucially, as the flame propagates into the near-wall region, the peak value of I0 is colocated with the peak Reynolds stresses (y+∼10). This observation suggests a strong (local) synergistic interaction between TD phenomena and wall turbulence, ultimately resulting in significantly enhanced flame speed.

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References (86)

  1. A. Dreizler, H. Pitsch, V. Scherer, C. Schulz, and J. Janicka, The role of combustion science and technology in low and zero impact energy transformation processes, Appl. Energy Combust. Scie. 7, 100040 (2021).
  2. H. Pitsch, The transition to sustainable combustion: Hydrogen- and carbon-based future fuels and methods for dealing with their challenges, Proc. Combust. Inst. 40, 105638 (2024).
  3. Y. Zeldovich, Theory of Combustion and Detonation of Gases (Academy of Sciences of the USSR, Moscow, 1944).
  4. G. Markstein, Cell structure of propane flames burning in tubes, J. Chem. Phys. 17, 428 (1949).
  5. F. A. Williams, Combustion Theory: The Fundamental Theory of Chemically Reacting Flow Systems, 2nd ed., Combustion Science and Engineering Series (Benjamin/Cummings, Menlo Park, CA, 1985).
  6. C. Law and C. Sung, Structure, aerodynamics, and geometry of premixed flamelets, Prog. Energy Combust. Sci. 26, 459 (2000).
  7. A. Aspden, A numerical study of diffusive effects in turbulent lean premixed hydrogen flames, Proc. Combust. Inst. 36, 1997 (2017).
  8. T. Howarth and A. Aspden, An empirical characteristic scaling model for freely-propagating lean premixed hydrogen flames, Combust. Flame 237, 111805 (2022).
  9. C. Altantzis, C. E. Frouzakis, A. G. Tomboulides, M. Matalon, and K. Boulouchos, Hydrodynamic and thermodiffusive instability effects on the evolution of laminar planar lean premixed hydrogen flames, J. Fluid Mech. 700, 329 (2012).
  10. L. Berger, K. Kleinheinz, A. Attili, and H. Pitsch, Characteristic patterns of thermodiffusively unstable premixed lean hydrogen flames, Proc. Combust. Inst. 37, 1879 (2019).
  11. L. Berger, M. Grinberg, B. Jürgens, P. E. Lapenna, F. Creta, A. Attili, and H. Pitsch, Flame fingers and interactions of hydrodynamic and thermodiffusive instabilities in laminar lean hydrogen flames, Proc. Combust. Inst. 39, 1525 (2023).
  12. M. Matalon, C. Cui, and J. K. Bechtold, Hydrodynamic theory of premixed flames: Effects of stoichiometry, variable transport coefficients and arbitrary reaction orders, J. Fluid Mech. 487, 179 (2003).
  13. H. Lulic, A. Breicher, A. Scholtissek, P. E. Lapenna, A. Dreizler, F. Creta, C. Hasse, D. Geyer, and F. Ferraro, On polyhedral structures of lean methane/hydrogen Bunsen flames: Combined experimental and numerical analysis, Proc. Combust. Inst. 39, 1977 (2023).
  14. P. E. Lapenna, G. Troiani, F. D'alessio, and F. Creta, Synergistic interplay of thermodiffusive instability and turbulence in premixed flames, Proc. Combust. Inst. 40, 105499 (2024).
  15. M. Schneider, F. Z. Rong, C. Hasse, and H. Nicolai, Combustion modelling for the flame–wall interaction of thermodiffusively unstable hydrogen/air flames, J. Fluid Mech. 1029, A36 (2026).
  16. A. J. Aspden, M. S. Day, and J. B. Bell, Turbulence–flame interactions in lean premixed hydrogen: transition to the distributed burning regime, J. Fluid Mech. 680, 287 (2011).
  17. A. J. Aspden, M. S. Day, and J. B. Bell, Towards the distributed burning regime in turbulent premixed flames, J. Fluid Mech. 871, 1 (2019).
  18. L. Berger, A. Attili, and H. Pitsch, Synergistic interactions of thermodiffusive instabilities and turbulence in lean hydrogen flames, Combust. Flame 244, 112254 (2022).
  19. L. Berger, A. Attili, M. Gauding, and H. Pitsch, Effects of Karlovitz number variations on thermodiffusive instabilities in lean turbulent hydrogen jet flames, Proc. Combust. Inst. 40, 105219 (2024).
  20. M. X. Yao and G. Blanquart, Isolating effects of large and small scale turbulence on thermodiffusively unstable premixed hydrogen flames, Combust. Flame 269, 113657 (2024).
  21. A. Aspden, M. Day, and J. Bell, Turbulence-chemistry interaction in lean premixed hydrogen combustion, Proc. Combust. Inst. 35, 1321 (2015).
  22. T. Howarth, E. Hunt, and A. Aspden, Thermodiffusively-unstable lean premixed hydrogen flames: Phenomenology, empirical modelling, and thermal leading points, Combust. Flame 253, 112811 (2023).
  23. M. Rieth, A. Gruber, and J. H. Chen, The effect of pressure on lean premixed hydrogen-air flames, Combust. Flame 250, 112514 (2023).
  24. E. Hunt and A. Aspden, Thermodiffusively-unstable lean premixed hydrogen flames: Length scale effects and turbulent burning regimes, Combust. Flame 272, 113855 (2025).
  25. M. Rieth, A. Gruber, F. A. Williams, and J. H. Chen, Enhanced burning rates in hydrogen-enriched turbulent premixed flames by diffusion of molecular and atomic hydrogen, Combust. Flame 239, 111740 (2022).
  26. H. Nicolai, V. Schuh, A. Bähr, M. Schneider, F. Rong, D. Kaddar, M. Bode, and C. Hasse, Laminar and turbulent hydrogen-enriched methane flames: Interaction of thermodiffusive instabilities and local fuel demixing, Proc. Combust. Inst. 41, 105885 (2025).
  27. A. Dreizler and B. Böhm, Advanced laser diagnostics for an improved understanding of premixed flame-wall interactions, Proc. Combust. Inst. 35, 37 (2015).
  28. T. Alshaalan and C. J. Rutland, Wall heat flux in turbulent premixed reacting flow, Combust. Sci. Technol. 174, 135 (2002).
  29. A. Gruber, R. Sankaran, E. R. Hawkes, and J. H. Chen, Turbulent flame–wall interaction: A direct numerical simulation study, J. Fluid Mech. 658, 5 (2010).
  30. A. Gruber, J. H. Chen, D. Valiev, and C. K. Law, Direct numerical simulation of premixed flame boundary layer flashback in turbulent channel flow, J. Fluid Mech. 709, 516 (2012).
  31. A. Gruber, A. Kerstein, D. Valiev, C. Law, H. Kolla, and J. Chen, Modeling of mean flame shape during premixed flame flashback in turbulent boundary layers, Proc. Combust. Inst. 35, 1485 (2015).
  32. G. Chen, H. Wang, A. Gruber, K. Luo, and J. Fan, Study of flame–flow interactions in turbulent boundary layer premixed flame flashback over a flat plate using direct numerical simulation, J. Fluid Mech. 971, A19 (2023).
  33. A. Gruber, E. S. Richardson, K. Aditya, and J. H. Chen, Direct numerical simulations of premixed and stratified flame propagation in turbulent channel flow, Phys. Rev. Fluids 3, 110507 (2018).
  34. C. Chi, C. Yu, B. Cuenot, U. Maas, and D. Thévenin, Effect of differential diffusion on head-on quenching of premixed NH3/H2/air flames within turbulent boundary layers, Proc. Combust. Inst. 40, 105276 (2024).
  35. R. Kai, A. L. Pillai, U. Ahmed, N. Chakraborty, and R. Kurose, Analysis of the evolution of the surface density function during premixed V-shaped flame–wall interaction in a turbulent channel flow at Reτ = 395, Combust. Sci. Technol. 197, 32 (2025).
  36. M. Schneider, H. Nicolai, V. Schuh, M. Steinhausen, and C. Hasse, Flame-wall interaction of thermodiffusively unstable hydrogen/air flames, Part I: Characterization of governing physical phenomena, Combust. Flame 279, 114320 (2025).
  37. M. Schneider, H. Nicolai, V. Schuh, M. Steinhausen, and C. Hasse, Flame-wall interaction of thermodiffusively unstable hydrogen/air flames, Part II: Parametric variations of equivalence ratio, temperature, and pressure, Combust. Flame 279, 114319 (2025).
  38. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).
  39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/g5vm-6xjr for additional details on the numerical setup, the characterization of intrinsic flame instabilities of the respective laminar flames, and further explanation of the methodologies used to evaluate the Karlovitz number, stretch factor, and flame quenching detection. Movies 1 and 2: 3D animations of the turbulent channel flow flames φ=0.25 and φ=0.35, respectively, with volume rendering of the normalized temperature Tnorm. The isosurface Cnorm=0.7 is colored by the normalized mixture fraction ZBilger,norm, the upper and lower walls of the channel flow show the normalized wall heat flux Φw/Φw,q0, and turbulent eddies are illustrated by the Q criterion. Movie 3: Temporal animation of the normalized wall heat flux Φw/Φw,q0 at the upper and lower walls of the turbulent channel flow for the flame φ=0.35.
  40. T. Poinsot and S. Lele, Boundary conditions for direct simulations of compressible viscous flows, J. Comput. Phys. 101, 104 (1992).
  41. J. C. Sutherland and C. A. Kennedy, Improved boundary conditions for viscous, reacting, compressible flows, J. Comput. Phys. 191, 502 (2003).
  42. Javier Jiménez and P. Moin, The minimal flow unit in near-wall turbulence, J. Fluid Mech. 225, 213 (1991).
  43. R. D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to Reτ=590, Phys. Fluids 11, 943 (1999).
  44. J. Li, Z. Zhao, A. Kazakov, and F. L. Dryer, An updated comprehensive kinetic model of hydrogen combustion, Int. J. Chem. Kinetics 36, 566 (2004).
  45. Z. Zhu, H. Wang, K. Luo, J. Fan, and E. R. Hawkes, Turbulence/flame/wall interaction in turbulent boundary layer combustion with wall surface reactions, Phys. Rev. Fluids 11, 013201 (2026).
  46. R. J. Kee, F. M. Rupley, and J. A. Miller, CHEMKIN-II: A FORTRAN Chemical Kinetics Package for the Analysis of Gas-Phase Chemical Kinetics, Sandia National Laboratories, Technical Report No. SAND89-8009B, Livermore, CA, 1989, p. 132.
  47. J. Schlup and G. Blanquart, Validation of a mixture-averaged thermal diffusion model for premixed lean hydrogen flames, Combust. Theor. Model. 22, 264 (2018).
  48. T. Howarth, M. Day, H. Pitsch, and A. Aspden, Thermal diffusion, exhaust gas recirculation and blending effects on lean premixed hydrogen flames, Proc. Combust. Inst. 40, 105429 (2024).
  49. T. Zirwes, F. Zhang, T. L. Kaiser, K. Oberleithner, O. T. Stein, H. Bockhorn, and A. Kronenburg, The role of thermodiffusion and dimensionality in the formation of cellular instabilities in hydrogen flames, Proc. Combust. Inst. 40, 105665 (2024).
  50. M. Matalon, Intrinsic flame instabilities in premixed and nonpremixed combustion, Annu. Rev. Fluid Mech. 39, 163 (2007).
  51. J. H. Chen, A. Choudhary, B. de Supinski, M. DeVries, E. R. Hawkes, S. Klasky, W. K. Liao, K. L. Ma, J. Mellor-Crummey, N. Podhorszki, R. Sankaran, S. Shende, and C. S. Yoo, Terascale direct numerical simulations of turbulent combustion using S3D, Comput. Sci. Disc. 2, 015001 (2009).
  52. R. Bilger, S. Stårner, and R. Kee, On reduced mechanisms for methane-air combustion in nonpremixed flames, Combust. Flame 80, 135 (1990).
  53. C. E. Frouzakis, N. Fogla, A. G. Tomboulides, C. Altantzis, and M. Matalon, Numerical study of unstable hydrogen/air flames: Shape and propagation speed, Proc. Combust. Inst. 35, 1087 (2015).
  54. L. Berger, A. Attili, and H. Pitsch, Intrinsic instabilities in premixed hydrogen flames: Parametric variation of pressure, equivalence ratio, and temperature. Part 1–Dispersion relations in the linear regime, Combust. Flame 240, 111935 (2022).
  55. L. Berger, A. Attili, and H. Pitsch, Intrinsic instabilities in premixed hydrogen flames: Parametric variation of pressure, equivalence ratio, and temperature. Part 2–Non‐linear regime and flame speed enhancement, Combust. Flame 240, 111936 (2022).
  56. N. Peters, Turbulent Combustion (Cambridge University Press, Cambridge, 2000).
  57. N. Peters, The turbulent burning velocity for large-scale and small-scale turbulence, J. Fluid Mech. 384, 107 (1999).
  58. G. Damköhler, Der einfluss der turbulenz auf die flammengeschwindigkeit in gasgemischen, Z. Elektrochem. Angew. Physikal. Chem. 46, 601 (1940).
  59. K. N. C. Bray, Studies of the turbulent burning velocity, Proc. R. Soc. Lond. 431, 315 (1990).
  60. K. N. C. Bray and R. S. Cant, Some applications of Kolmogorov's turbulence research in the field of combustion, Proc. R. Soc. Lond. 434, 217 (1991).
  61. D. Bradley, M. Lawes, and M. S. Mansour, The problems of the turbulent burning velocity, Flow, Turbul. Combust. 87, 191 (2011).
  62. G. V. Nivarti and R. S. Cant, Scalar transport and the validity of damköhler's hypotheses for flame propagation in intense turbulence, Phys. Fluids 29, 085107 (2017).
  63. L. Berger, A. Attili, M. Gauding, and H. Pitsch, LES combustion model for premixed turbulent hydrogen flames with thermodiffusive instabilities: A priori and a posteriori analysis, J. Fluid Mech. 1003, A33 (2025).
  64. M. Schneider, F. Rong, M. Steinhausen, C. Hasse, and H. Nicolai, Flame–wall interaction of lean premixed hydrogen/air flames: Impact of transport models, Proc. Combust. Inst. 41, 105955 (2025).
  65. B. Sullivan and A. Kaszynski, PyVista: 3D plotting and mesh analysis through a streamlined interface for the Visualization Toolkit (VTK), JOSS 4, 1450 (2019).
  66. T. Echekki and J. H. Chen, Analysis of the contribution of curvature to premixed flame propagation, Combust. Flame 118, 308 (1999).
  67. M. Matalon, On flame stretch, Combust. Sci. Technol. 31, 169 (1983).
  68. G. Rocco, F. Battista, F. Picano, G. Troiani, and C. M. Casciola, Curvature effects in turbulent premixed flames of H2/air: A DNS study with reduced chemistry, Flow, Turbul. Combust. 94, 359 (2015).
  69. H. Böttler, D. Kaddar, T. J. P. Karpowski, F. Ferraro, A. Scholtissek, H. Nicolai, and C. Hasse, Can flamelet manifolds capture the interactions of thermo-diffusive instabilities and turbulence in lean hydrogen flames?—An a-priori analysis, Int. J. Hydrogen Energy 56, 1397 (2024).
  70. D. Cecere, E. Giacomazzi, N. Arcidiacono, and F. Picchia, Direct numerical simulation of a turbulent lean premixed CH4/H2–Air slot flame, Combust. Flame 165, 384 (2016).
  71. W. Han, A. Scholtissek, F. Dietzsch, R. Jahanbakhshi, and C. Hasse, Influence of flow topology and scalar structure on flame-tangential diffusion in turbulent non-premixed combustion, Combust. Flame 206, 21 (2019).
  72. Y. Wang and M. Tanahashi, Three-dimensional geometrical effects on the near-wall quenching of turbulent premixed flame, Proc. Combust. Inst. 40, 105629 (2024).
  73. M. Day, J. Bell, P. T. Bremer, V. Pascucci, V. Beckner, and M. Lijewski, Turbulence effects on cellular burning structures in lean premixed hydrogen flames, Combust. Flame 156, 1035 (2009).
  74. N. Peters, Laminar flamelet concepts in turbulent combustion, Symp. (Int.) on Combust. 21, 1231 (1988).
  75. Z. Lu and Y. Yang, Modeling pressure effects on the turbulent burning velocity for lean hydrogen/air premixed combustion, Proc. Combust. Inst. 38, 2901 (2021).
  76. U. Ahmed, N. Chakraborty, and M. Klein, Scalar gradient and strain rate statistics in oblique premixed flame–wall interaction within turbulent channel flows, Flow, Turbul. Combust. 106, 701 (2021).
  77. Y. Wang, Y. Minamoto, M. Shimura, and M. Tanahashi, Quenching modes of local flame–wall interaction for turbulent premixed methane combustion in a constant volume vessel, Combust. Theor. Model. 27, 715 (2023).
  78. Y. Wang, S. Jiang, and M. Tanahashi, Statistical investigation of local quenching characteristics in flame-wall interaction during turbulent premixed CH-air combustion under pressure-rising condition, Combust. Sci. Technol. 198 3828 (2026).
  79. L. De Nardi, Q. Douasbin, O. Vermorel, and T. Poinsot, Infinitely fast heterogeneous catalysis model for premixed hydrogen flame-wall interaction, Combust. Flame 261, 113328 (2024).
  80. G. Bruneaux, K. Akselvoll, T. Poinsot, and J. H. Ferziger, Flame-wall interaction simulation in a turbulent channel flow, Combust. Flame 107, 27 (1996).
  81. F. Dabireau, B. Cuenot, O. Vermorel, and T. Poinsot, Interaction of flames of H2+ O2 with inert walls, Combust. Flame 135, 123 (2003).
  82. A. Heinrich, G. Kuenne, S. Ganter, C. Hasse, and J. Janicka, Investigation of the turbulent near wall flame behavior for a sidewall quenching burner by means of a large eddy simulation and tabulated chemistry, Fluids 3, 65 (2018).
  83. A. Heinrich, F. Ries, G. Kuenne, S. Ganter, C. Hasse, A. Sadiki, and J. Janicka, Large eddy simulation with tabulated chemistry of an experimental sidewall quenching burner, Int. J. Heat Fluid Flow 71, 95 (2018).
  84. B. Traut, F. Rong, M. Schneider, C. Hasse, and H. Nicolai, Side-wall quenching of thermodiffusively unstable hydrogen flames with conjugate heat transfer, Proc. Combust. Inst. 42, 106090 (2026).
  85. H. Wang, Z. Wang, K. Luo, E. R. Hawkes, J. H. Chen, and J. Fan, Direct numerical simulation of turbulent boundary layer premixed combustion under auto-ignitive conditions, Combust. Flame 228, 292 (2021).
  86. F. Rong, M. J. Schneider, H. Nicolai, C. Hasse, and A. Gruber, Direct numerical simulation of premixed hydrogen-air flames subject to thermo-diffusive effects in a fully-developed turbulent channel flow at Reτ=530, Zenodo, 2025, https://doi.org/10.5281/zenodo.17827533.

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