Stochastic characterisation of unstable lean hydrogen–air annular premixed flames

References

• A.A. Konnov, A. Mohammad, V.R. Kishore, N.I. Kim, C. Prathap, and S. Kumar, A comprehensive review of measurements and data analysis of laminar burning velocities for various fuel+air mixtures, Prog. Energy Combust. Sci. 68 (2018), pp. 197–267.
   Web of Science ®Google Scholar
• G. Sivashinsky, Nonlinear analysis of hydrodynamic instability in laminar flames – I. Derivation of basic equations, Acta Astronaut. 4 (1977), pp. 1177–1206.
   Web of Science ®Google Scholar
• G. Joulin and P. Clavin, Linear stability analysis of nonadiabatic flames: Diffusional-thermal model, Combust. Flame 35 (1979), pp. 139–153.
   Web of Science ®Google Scholar
• P.D. Ronney, Near-limit flame structures at low Lewis number, Combust. Flame 82 (1990), pp. 1–14.
   Web of Science ®Google Scholar
• F. Liu, X. Bao, J. Gu, and R. Chen, Onset of cellular instabilities in spherically propagating hydrogen-air premixed laminar flames, Int. J. Hydrog. Energy 37 (2012), pp. 11458–11465.
   Web of Science ®Google Scholar
• J. Goulier, A. Comandini, F. Halter, and N. Chaumeix, Experimental study on turbulent expanding flames of lean hydrogen/air mixtures, Proc. Combust. Inst. 36 (2017), pp. 2823–2832.
   Web of Science ®Google Scholar
• R. Grosseuvres, A. Comandini, A. Bentaib, and N. Chaumeix, Combustion properties of H 2/N 2/O 2/steam mixtures, Proc. Combust. Inst. 37 (2019), pp. 1537–1546.
   Web of Science ®Google Scholar
• F. Tinaut, M. Reyes, A. Melgar, and B. Giménez, Optical characterization of hydrogen-air laminar combustion under cellularity conditions, Int. J. Hydrog. Energy 44 (2019), pp. 12857–12871.
   Web of Science ®Google Scholar
• W. Jin, J. Wang, Y. Nie, S. Yu, and Z. Huang, Experimental study on flame instabilities of laminar premixed CH 4/H 2/air non-adiabatic flat flames, Fuel 159 (2015), pp. 599–606.
   Web of Science ®Google Scholar
• W. Jin, J. Wang, S. Yu, Y. Nie, Y. Xie, and Z. Huang, Cellular instabilities of non-adiabatic laminar flat methane/hydrogen oxy-fuel flames highly diluted with CO 2, Fuel 143 (2015), pp. 38–46.
   Web of Science ®Google Scholar
• A. Kaewpradap and S. Kadowaki, Instability influenced by CO 2 and equivalence ratio in oxyhydrogen flames on flat burner, Combust. Sci. Technol. 189 (2017), pp. 438–452.
   Web of Science ®Google Scholar
• W. Jin, J. Wang, W. Zhang, X. Cai, Y. Nie, and Z. Huang, Investigation of the heat loss effect on cellular flames via proper orthogonal decomposition, Combust. Sci. Technol. 190 (2018), pp. 803–822.
   Web of Science ®Google Scholar
• T. Howarth and A. Aspden, An empirical characteristic scaling model for freely-propagating lean premixed hydrogen flames, Combust. Flame 237 (2022), p. 111805.
   Web of Science ®Google Scholar
• 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 (2022), p. 111935.
   Web of Science ®Google Scholar
• 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 (2022), p. 111936.
   Web of Science ®Google Scholar
• D. Michaels and A.F. Ghoniem, Leading edge dynamics of lean premixed flames stabilized on a bluff body, Combust. Flame 191 (2018), pp. 39–52.
   Web of Science ®Google Scholar
• L. da Costa Ramos, L.F. Figueira da Silva, F. Di Meglio, and V. Morgenthaler, Modelling of pulsating inverted conical flames: A numerical instability analysis, Combust. Theory Model 26 (2022), pp. 260–288.
   Web of Science ®Google Scholar
• F. Zhang, T. Zirwes, Y. Wang, Z. Chen, H. Bockhorn, D. Trimis, and D. Stapf, Dynamics of premixed hydrogen/air flames in unsteady flow, Phys. Fluids 34 (2022), p. 085121.
   Web of Science ®Google Scholar
• J. Pathak, A. Wikner, R. Fussell, S. Chandra, B.R. Hunt, M. Girvan, and E. Ott, Hybrid forecasting of chaotic processes: Using machine learning in conjunction with a knowledge-based model, Chaos 28 (2018), p. 041101.
   PubMed Web of Science ®Google Scholar
• L. da Costa Ramos, F. Di Meglio, V. Morgenthaler, L.F. Figueira da Silva, and P. Bernard, Numerical design of Luenberger observers for nonlinear systems, in 2020 59th IEEE Conference on Decision and Control (CDC), 12. IEEE, 2020, pp. 5435–5442.
   Google Scholar
• M. Raissi, P. Perdikaris, and G. Karniadakis, Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations, J. Comput. Phys. 378 (2019), pp. 686–707.
   Web of Science ®Google Scholar
• F. Chinesta, E. Cueto, E. Abisset-Chavanne, J.L. Duval, and F.E. Khaldi, Virtual, digital and hybrid twins: A new paradigm in data-based engineering and engineered data, Arch. Comput. Methods Eng. 27 (2020), pp. 105–134.
   Web of Science ®Google Scholar
• S.L. Brunton, B.R. Noack, and P. Koumoutsakos, Machine learning for fluid mechanics, Annu. Rev. Fluid Mech. 52 (2020), pp. 477–508.
   Web of Science ®Google Scholar
• M. Adams, X. Li, L. Boucinha, S.S. Kher, P. Banerjee, and J.L. Gonzalez, Hybrid digital twins: A primer on combining physics-based and data analytics approaches, IEEE Softw. 39 (2022), pp. 47–52.
   Web of Science ®Google Scholar
• R. Geelen, S. Wright, and K. Willcox, Operator inference for non-intrusive model reduction with quadratic manifolds, Comput. Methods Appl. Mech. Eng. 403 (2023), p. 115717.
   Web of Science ®Google Scholar
• V.A. Sabel'nikov and L.F. Figueira da Silva, Partially stirred reactor: Study of the sensitivity of the monte-carlo simulation to the number of stochastic particles with the use of a semi-analytic, steady-state, solution to the pdf equation, Combust. Flame 129 (2002), pp. 164–178.
   Web of Science ®Google Scholar
• E. Mendoza Orbegoso and L.F. Figueira da Silva, Study of stochastic mixing models for combustion in turbulent flows, Proc. Combust. Inst. 32 (2009), pp. 1595–1603.
   Web of Science ®Google Scholar
• V.A. Sabel'nikov, B. Deshaies, and L.F. Figueira da Silva, Revisited flamelet model for nonpremixed combustion in supersonic turbulent flows, Combust. Flame 114 (1998), pp. 577–584.
   Web of Science ®Google Scholar
• M. Pfitzner and P. Breda, An analytic probability density function for partially premixed flames with detailed chemistry, Phys. Fluids 33 (2021), p. 035117.
   Web of Science ®Google Scholar
• D. Park, T. Lee, and K.T. Kim, Rotational symmetry-driven modal dynamics of high-frequency transverse instabilities in a lean-premixed multislit hydrogen combustor, Combust. Flame 245 (2022), p. 112356.
   Web of Science ®Google Scholar
• M. Zhao, D. Buttsworth, and R. Choudhury, Experimental and numerical study of OH* chemiluminescence in hydrogen diffusion flames, Combust. Flame 197 (2018), pp. 369–377.
   Web of Science ®Google Scholar
• D.G. Goodwin, H.K. Moffat, and R.L. Speth, Cantera: An Object-Oriented Software Toolkit for Chemical Kinetics, Thermodynamics, and Transport Processes, Caltech, Pasadena, CA, 2009.
   Google Scholar
• V.A. Alekseev, M. Christensen, and A.A. Konnov, The effect of temperature on the adiabatic burning velocities of diluted hydrogen flames: A kinetic study using an updated mechanism, Combust. Flame162 (2015), pp. 1884–1898.
   Web of Science ®Google Scholar
• A.L. Sánchez and F.A. Williams, Recent advances in understanding of flammability characteristics of hydrogen, Prog. Energy Combust. Sci. 41 (2014), pp. 1–55.
   Web of Science ®Google Scholar
• R.J. Blint, The relationship of the laminar flame width to flame speed, Combust. Sci. Technol. 49 (1986), pp. 79–92.
   Web of Science ®Google Scholar
• G. Joulin and T. Mitani, Linear stability analysis of two-reactant flames, Combust. Flame 40 (1981), pp. 235–246.
   Web of Science ®Google Scholar
• M.C. de Jesus Vieira and L.F. Figueira da Silva, Premixed flame heat release-based optimum global single-step chemistry for H 2, CH 4, and C 3H 8 mixtures with air, J. Braz. Soc. Mech. Sci. Eng. 44 (2022), p. 131.
   Web of Science ®Google Scholar
• I.G. McWilliam and H. Bolton, Instrumental peak distortion. I. Relaxation time effects, Anal. Chem.41 (1969), pp. 1755–1762.
   Web of Science ®Google Scholar
• E. Grushka, Characterization of exponentially modified Gaussian peaks in chromatography, Anal. Chem. 44 (1972), pp. 1733–1738.
   PubMed Web of Science ®Google Scholar
• G.S. Settles, Schlieren and Shadowgraph Techniques, Springer, Berlin Heidelberg, 2001.
   Google Scholar
• D. Fernández-Galisteo, A.L. Sánchez, A. Liñán, and F.A. Williams, The hydrogen–air burning rate near the lean flammability limit, Combust. Theory Model. 13 (2009), pp. 741–761.
   Web of Science ®Google Scholar