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2-D and 3-D measurements of flame stretch and turbulence–flame interactions in turbulent premixed flames using DNS

Published online by Cambridge University Press:  23 February 2021

Haiou Wang Open the ORCID record for Haiou Wang [Opens in a new window] ,
Evatt R. Hawkes ,
Jiahao Ren ,
Guo Chen ,
Kun Luo  and
Jianren Fan Open the ORCID record for Jianren Fan [Opens in a new window]
Haiou Wang*
Affiliation:
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou310027, PR China
Evatt R. Hawkes
Affiliation:
School of Mechanical and Manufacturing Engineering, The University of New South Wales, NSW2052, Australia School of Photovoltaic and Renewable Energy Engineering, The University of New South Wales, NSW2052, Australia
Jiahao Ren
Affiliation:
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou310027, PR China
Guo Chen
Affiliation:
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou310027, PR China
Kun Luo
Affiliation:
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou310027, PR China
Jianren Fan
Affiliation:
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou310027, PR China
*
†Email address for correspondence: [email protected]
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Abstract

Three-dimensional (3-D) measurements of flame stretch are experimentally challenging. In this paper, two-dimensional (2-D) and 3-D measurements of flame stretch and turbulence–flame interactions were examined using direct numerical simulation (DNS) data of turbulent premixed flames, and models to estimate 3-D statistics of flame stretch-related quantities by correcting 2-D measurements were developed. A variety of DNS cases were simulated, including three freely propagating planar flames without a mean shear and a slot-jet flame with a mean shear. The main findings are summarized as follows. First, the mean shear mainly influences the flame orientations. However, it does not change the flame stretch and turbulence–flame interactions qualitatively. The distributions of out-of-plane angle of all cases are nearly isotropic. Second, models were proposed to approximate the 3-D statistics of flame stretch-related quantities using 2-D measurements, the performance of which was verified by comparing modelled and actual 3-D surface averages and probability density functions of tangential strain rate, curvature and displacement velocity. Third, 2-D measurements of flame stretch capture properly the trends of the 3-D results, with flame surface area being produced in low curvature regions and destroyed in highly curved regions. However, the magnitude of flame stretch was under-estimated in 2-D measurements. Finally, 2-D and 3-D turbulence–flame interactions were examined. The flame normal vector is aligned with the most compressive strain rate in both 2-D and 3-D measurements. Meanwhile, the flame normal vector is misaligned (weakly aligned) with the most extensive strain rate in 3-D (2-D) measurements, highlighting the difference in 2-D and 3-D results of turbulence–flame interactions.

JFM classification

Reacting Flows: Combustion Reacting Flows: Flames Reacting Flows: Turbulent reacting flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 913 , 25 April 2021 , A11
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Anselmo-Filho, P., Hochgreb, S., Barlow, R.S. & Cant, R.S. 2009 Experimental measurements of geometric properties of turbulent stratified flames. Proc. Combust. Inst. 32 (2), 1763–1770.CrossRefGoogle Scholar
Ashurst, W.T., Kerstein, A.R., Kerr, R.M. & Gibson, C.H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier–Stokes turbulence. Phys. Fluids 30, 2343–2353.CrossRefGoogle Scholar
Borger, M., Veynante, D., Boughanem, H. & Trové, A. 1998 Direct numerical simulation analysis of flame surface density concept for large eddy simulation of turbulent premixed combus. Proc. Combust. Inst. 27, 917–925.CrossRefGoogle Scholar
Candel, S. & Poinsot, T.J. 1990 Flame stretch and the balance equation for the flame area. Combust. Sci. Technol. 70, 1–15.CrossRefGoogle Scholar
Cant, R.S., Pope, S.B. & Bray, K.N.C. 1990 Modelling of flamelet surface-to-volume ratio in turbulent premixed combustion. Proc. Combust. Inst. 23, 809–815.CrossRefGoogle Scholar
Carroll, P.L. & Blanquart, G. 2016 A proposed modification to Lundgren's physical space velocity forcing method for isotropic turbulence. Phys. Fluids 25, 105114.CrossRefGoogle Scholar
Chakraborty, N. & Cant, S. 2004 Unsteady effects of strain rate and curvature on turbulent premixed flames in an inflow-outflow configuration. Combust. Flame 137 (1–2), 129–147.CrossRefGoogle Scholar
Chakraborty, N., Hartung, G., Katragadda, M. & Kaminski, C.F. 2011 Comparison of 2D and 3D density-weighted displacement speed statistics and implications for laser based measurements of flame displacement speed using direct numerical simulation data. Combust. Flame 158, 1372–1390.CrossRefGoogle Scholar
Chakraborty, N., Kolla, H., Sankaran, R., Hawkes, E.R., Chen, J.H. & Swaminathan, N. 2013 Determination of three-dimensional quantities related to scalar dissipation rate and its transport from two-dimensional measurements: direct numerical simulation based validation. Proc. Combust. Inst. 34 (1), 1151–1162.CrossRefGoogle Scholar
Chakraborty, N. & Swaminathan, N. 2007 Influence of the Damköhler number on turbulence-scalar interaction in premixed flames. I. Physical insight. Phys. Fluids 19, 045103.CrossRefGoogle Scholar
Chen, J.H., et al. 2009 Terascale direct numerical simulations of turbulent combustion using S3D. Comput. Sci. Disc. 2, 015001.CrossRefGoogle Scholar
Cifuentes, L., Dopazo, C., Martin, J. & Jimenez, C. 2014 Local flow topologies and scalar structures in a turbulent premixed flame. Phys. Fluids 26, 065108.CrossRefGoogle Scholar
Donbar, J.M., Driscoll, J.F. & Carter, C.D. 2001 Strain rates measured along the wrinkled flame contour within turbulent non-premixed jet flames. Combust. Flame 125, 1239–1257.CrossRefGoogle Scholar
Driscoll, J.F., Chen, J.H., Skiba, A.W., Carter, C.D., Hawkes, E.R. & Wang, H. 2020 Premixed flames subjected to extreme turbulence: some questions and recent answers. Prog. Energy Combust. Sci. 76, 100802.CrossRefGoogle Scholar
Dunn-Rankin, D. 2007 Lean Combustion. Academic Press.Google Scholar
Hartung, G., Hult, J., Balachandran, R., MacKley, M.R. & Kaminski, C.F. 2009 Flame front tracking in turbulent lean premixed flames using stereo PIV and time-sequenced planar LIF of OH. Appl. Phys. B 96 (4), 843–862.CrossRefGoogle Scholar
Hartung, G., Hult, J., Kaminski, C.F., Rogerson, J.W. & Swaminathan, N. 2008 Effect of heat release on turbulence and scalar-turbulence interaction in premixed combustion. Phys. Fluids 20 (3), 035110.CrossRefGoogle Scholar
Hawkes, E.R. & Cant, R.S. 2000 A flame surface density approach to large-eddy simulation of premixed turbulent combustion. Proc. Combust. Inst. 28, 51–58.CrossRefGoogle Scholar
Hawkes, E.R. & Cant, R.S. 2001 Implications of a flame surface density approach to large eddy simulation of premixed turbulent combustion. Combust. Flame 126, 1617–1629.CrossRefGoogle Scholar
Hawkes, E.R., Sankaran, R. & Chen, J.H. 2011 Estimates of the three-dimensional flame surface density and every term in its transport equation from two-dimensional measurements. Proc. Combust. Inst. 33 (1), 1447–1454.CrossRefGoogle Scholar
Hawkes, E.R., Sankaran, R., Chen, J.H., Kaiser, S.A. & Frank, J.H. 2009 An analysis of lower-dimensional approximations to the scalar dissipation rate using direct numerical simulations of plane jet flames. Proc. Combust. Inst. 32 I (1), 1455–1463.CrossRefGoogle Scholar
Kennedy, A. & Carpenter, M.H. 1994 Several new numerical methods for compressible shear-layer simulations. Appl. Numer. Maths 14, 397–433.CrossRefGoogle Scholar
Kennedy, C.A., Carpenter, M.H. & Lewis, R.M. 2000 Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations. Appl. Numer. Maths 35, 177–219.CrossRefGoogle Scholar
Kim, H.S. & Pitsch, H. 2007 Scalar gradient and small-scale structure in turbulent premixed combustion. Phys. Fluids 19, 115104.CrossRefGoogle Scholar
Kollmann, W. & Chen, J.H. 1998 Pocket formation and the flame surface density equation. Proc. Combust. Inst. 27, 927–934.CrossRefGoogle Scholar
Kullback, S. & Leibler, R.A. 1951 On information and sufficiency. Ann. Math. Statist. 22, 79–86.CrossRefGoogle Scholar
Lapointe, S. & Blanquart, G. 2017 A priori filtered chemical source term modeling for LES of high Karlovitz number premixed flames. Combust. Flame 176, 500–510.CrossRefGoogle Scholar
Lee, T., North, G.L. & Santavicca, D.A. 1992 Curvature and orientation statistics of turbulent premixed flame fronts. Combust. Sci. Technol. 84, 121–132.CrossRefGoogle Scholar
Lipatnikov, A.N., Sabelnikov, V.A., Hernández-Pérez, F.E., Song, W. & Im, H.G. 2020 A priori DNS study of applicability of flamelet concept to predicting mean concentrations of species in turbulent premixed flames at various Karlovitz numbers. Combust. Flame 222, 370–382.CrossRefGoogle Scholar
Lu, T. & Law, C.K. 2008 A criterion based on computational singular perturbation for the identification of quasi steady state species: a reduced mechanism for methane oxidation with NO chemistry. Combust. Flame 154 (4), 761–774.CrossRefGoogle Scholar
Luca, S., Attili, A., Lo, E., Creta, F. & Bisetti, F. 2019 On the statistics of flame stretch in turbulent premixed jet flames in the thin reaction zone regime at varying Reynolds number. Proc. Combust. Inst. 37 (2), 2451–2459.CrossRefGoogle Scholar
Luo, Z., Yoo, C.S., Richardson, E.S., Chen, J.H., Law, C.K. & Lu, T. 2012 Chemical explosive mode analysis for a turbulent lifted ethylene jet flame in highly-heated coflow. Combust. Flame 159 (1), 265–274.CrossRefGoogle Scholar
Mohammadnejad, S., An, Q., Vena, P., Yun, S. & Kheirkhah, S. 2020 Thick reaction zones in non-flamelet turbulent premixed combustion. Combust. Flame 222, 285–304.CrossRefGoogle Scholar
Mohammadnejad, S., Vena, P., Yun, S. & Kheirkhah, S. 2019 Internal structure of hydrogen-enriched methane–air turbulent premixed flames: flamelet and non-flamelet behavior. Combust. Flame 208, 139–157.CrossRefGoogle Scholar
Nilsson, T., Langella, I., Doan, N.A.K., Swaminathan, N., Yu, R. & Bai, X.S. 2019 A priori analysis of sub-grid variance of a reactive scalar using DNS data of high Ka flames. Combust. Theor. Model. 23 (5), 885–906.CrossRefGoogle Scholar
Nomura, K.K. & Elghobashi, S.E. 1992 Mixing characteristics of an inhomogeneous scalar in isotropic and homogeneous sheared turbulence. Phys. Fluids A 4 (3), 606–625.CrossRefGoogle Scholar
Passot, T. & Pouquet, A. 1987 Numerical simulation of compressible homogeneous flows in the turbulent regime. J. Fluid Mech. 181, 441–466.CrossRefGoogle Scholar
Peters, N. 2000 Turbulent Combustion. Cambridge University Press.CrossRefGoogle Scholar
Poinsot, T. & Veynante, D. 2005 Theoretical and Numerical Combustion. R.T. Edwards.Google Scholar
Pope, S.B. 1988 The evolution of surfaces in turbulence. Intl J. Engng Sci. 26, 445–469.CrossRefGoogle Scholar
Sankaran, R., Hawkes, E.R, Chen, J.H, Lu, T. & Law, C.K. 2007 Structure of a spatially developing turbulent lean methane–air Bunsen flame. Proc. Combust. Inst. 31, 1291–1298.CrossRefGoogle Scholar
Sankaran, R., Hawkes, E.R., Yoo, C.S. & Chen, J.H. 2015 Response of flame thickness and propagation speed under intense turbulence in spatially developing lean premixed methane-air jet flames. Combust. Flame 162 (9), 3294–3306.CrossRefGoogle Scholar
Sponfeldner, T., Boxx, I., Beyrau, F., Hardalupas, Y., Meier, W. & Taylor, A.M.K.P. 2015 On the alignment of fluid-dynamic principal strain-rates with the 3D flamelet-normal in a premixed turbulent V-flame. Proc. Combust. Inst. 35 (2), 1269–1276.CrossRefGoogle Scholar
Steinberg, A.M., Coriton, B. & Frank, J.H. 2015 Influence of combustion on principal strain-rate transport in turbulent premixed flames. Proc. Combust. Inst. 35 (2), 1287–1294.CrossRefGoogle Scholar
Steinberg, A.M. & Driscoll, J.F. 2009 Straining and wrinkling processes during turbulence-premixed flame interaction measured using temporally-resolved diagnostics. Combust. Flame 156 (12), 2285–2306.CrossRefGoogle Scholar
Steinberg, A.M., Driscoll, J.F. & Swaminathan, N. 2012 Statistics and dynamics of turbulence–flame alignment in premixed combustion. Combust. Flame 159, 2576–2588.CrossRefGoogle Scholar
Swaminathan, N. & Grout, R.W. 2006 Interaction of turbulence and scalar fields in premixed flames. Phys. Fluids 18, 045102.CrossRefGoogle Scholar
Tanahashi, M., Fujimura, M. & Miyauchi, T. 2000 Coherent fine-scale eddies in turbulent premixed flames. Proc. Combust. Inst. 28, 529–535.CrossRefGoogle Scholar
Trouve, A. & Poinsot, T. 1994 The evolution equation for the flame surface density in turbulent premixed combustion. J. Fluid Mech. 278, 1–31.CrossRefGoogle Scholar
Trunk, P.J., Boxx, I., Heeger, C., Meier, W., Böhm, B. & Dreizler, A. 2013 Premixed flame propagation in turbulent flow by means of stereoscopic PIV and dual-plane OH-PLIF at sustained kHz repetition rates. Proc. Combust. Inst. 34 (2), 3565–3572.CrossRefGoogle Scholar
Vervisch, L., Bidaux, E., Bray, K.N.C. & Kollmann, W. 1995 Surface density function in premixed turbulent combustion modeling, similarities between probability density function and flame surface approaches. Phys. Fluids 7 (10), 2496–2503.CrossRefGoogle Scholar
Veynante, D., Lodato, G., Domingo, P., Vervisch, L. & Hawkes, E.R. 2010 a Estimation of three-dimensional flame surface densities from planar images in turbulent premixed combustion. Exp. Fluids 49 (1), 267–278.CrossRefGoogle Scholar
Veynante, D., Lodato, G., Domingo, P., Vervisch, L. & Hawkes, E.R. 2010 b Estimation of three-dimensional flame surface densities from planar images in turbulent premixed combustion. Exp. Fluids 49 (1), 267–278.CrossRefGoogle Scholar
Veynante, D. & Vervisch, L. 2002 Turbulent combustion modeling. Prog. Energy Combust. Sci. 28, 193–266.CrossRefGoogle Scholar
Wang, H., Hawkes, E.R. & Chen, J.H. 2016 Turbulence-flame interactions in DNS of a laboratory high Karlovitz premixed turbulent jet flame. Phys. Fluids 28, 095107.CrossRefGoogle Scholar
Wang, H., Hawkes, E.R. & Chen, J.H. 2017 a A direct numerical simulation study of flame structure and stabilization of an experimental high Ka $\textrm {CH}_4/\textrm {air}$ premixed jet flame. Combust. Flame 180, 110–123.CrossRefGoogle Scholar
Wang, H., Hawkes, E.R., Chen, J.H., Zhou, B., Li, Z. & Aldén, M. 2017 b Direct numerical simulations of a high Karlovitz number laboratory premixed jet flame – an analysis of flame stretch and flame thickening. J. Fluid Mech. 815, 511–536.CrossRefGoogle Scholar
Wang, H., Hawkes, E.R., Savard, B. & Chen, J.H. 2018 Direct numerical simulation of a high Ka $\textrm {CH}_4/\textrm {air}$ stratified premixed jet flame. Combust. Flame 193, 229–245.CrossRefGoogle Scholar
Wang, H., Hawkes, E.R., Zhou, B., Chen, J.H., Li, Z. & Aldén, M. 2017 c A comparison between direct numerical simulation and experiment of the turbulent burning velocity-related statistics in a turbulent methane-air premixed jet flame at high Karlovitz number. Proc. Combust. Inst. 36 (2), 2045–2053.CrossRefGoogle Scholar
Wang, J., Zhang, M., Huang, Z., Kudo, T. & Kobayashi, H. 2013 Measurement of the instantaneous flame front structure of syngas turbulent premixed flames at high pressure. Combust. Flame 160 (11), 2434–2441.CrossRefGoogle Scholar
Yoo, C.S. & Im, H.G. 2007 Characteristic boundary conditions for simulations of compressible reacting flows with multi-dimensional, viscous and reaction effects. Combust. Theor. Model. 11 (734), 259–286.CrossRefGoogle Scholar
Zhang, Q., Shanbhogue, S.J., Lieuwen, T. & O'Connor, J. 2011 Strain characteristics near the flame attachment point in a swirling flow. Combust. Sci. Technol. 183 (7), 665–685.CrossRefGoogle Scholar