Abstract
Computational models for engineering applications need to be both accurate and computationally efficient. Turbulent flows with combustion cannot be directly solved due to the wide range of spatial scales and the large number of reactive scalars. In non-premixed systems, strong correlations exist between the value reactive scalar and the mixing between the fuel and oxidiser. Conditional moment closure (CMC) methods assumed that conditional fluctuations around a single scalar (in non-premixed flows the mixture fraction) are small. Using this assumption, CMC models derive Eulerian transport equations for the conditioned scalars that can be solved efficiently. This chapter will introduce the CMC method in non-premixed combustion and its formulations in RANS and LES, with the modelling of the unclosed terms and relevant algorithms. Next, the chapter will review recent progress in CMC modelling of auto-ignition, flame stabilisation and extinction; including recent applications in engines and gas turbine combustion, as well as theoretical developments on double conditioning, differential diffusion and spray combustion.
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References
Ayache S, Mastorakos E (2011) Flow Turb Combust 88(1–2):207
Beguier C, Dekeyser I, Launder BE (1978) Phys Fluids 21(3):307
Bilger RW (1993) Phys Fluids A-Fluid Dyn 5:436
Bilger RW (2010) Combust Flame (2010)
Bilger RW (1993) Phys Fluids A 5:436
Bilger RW, Pope SB, Bray KNC, Driscoll J (2005) Proc Combust Inst 30(1):21
Bolla M, Farrace D, Wright YM, Boulouchos K (2014) Fuel 117:309
Borghesi G, Mastorakos E, Devaud CB, Bilger RW (2011) Combust Theor Model 15(5):725
Bottone F, Kronenburg A, Gosman D, Marquis A (2012) Flow Turb Combust 89(4):651
Branley N, Jones WP (2001) Combust Flame 127(1–2):1914
Bushe K, Steiner H (1999) Phys Fluids A 11:1896
Ciottoli PP (2013) Conditional moment for LES of compressible turbulent reactive flows. Sapienza University, Phd
Cleary MJ, Kent JH (2005) Combust Flame 143:357
Cleary MJ, Klimenko AY (2011) Phys Fluids 115102:1
Colucci P, Jaberi F, Givi P, Pope S (1998) Phys Fluids 10:499
De Paola G, Mastorakos E, Wright YM, Boulouchos K (2008) Combust Sci Technol 180(5):883
Devaud CB, Bray KNC (2003) Combust Flame 132(4):102
Devaud CB, Bray KNC (2003) Combust Flame 132:102
Fairweather A, Woolley R (2003) Combust Flame 133:393
Floyd J, Kempf AM, Kronenburg A, Ram RH (2009) Combust Theor Model 13(4):559
Fureby C (2009) Philosophical transactions. Ser A, Math Phys Eng Sci 367(1899):2957
Garmory A, Mastorakos E (2011) Proc Combust Inst 33:1673
Garmory A, Mastorakos E (2013) Int J Heat Fluid Flow 39:53
Garmory A, Mastorakos E (2015) Proc Combust Inst 35(2):1207
Girimaji SS (1992) Phys Fluids A 4:2529
Giusti A, Kotzagianni M, Mastorakos E (2016) Flow Turb Combust 97(4):1165
Hewson JC, Ricks AJ, Tieszen SR, Kerstein AR, Fox RO (2006) Conditional-moment closure with differential diffusion for soot evolution in fire. Tech Rep, Centre Turbulence Research
Jones WP, Navarro-Martinez S (2007) Combust Flame 150:170
Kim S, Huh Y (2002) Combust Flame 130:94
Kim S, Huh K, Fraser R (2000) Proc Combust Inst 28:185
Kim S, Huh K, Tao L (2000) Combust Flame 120:75
Klimenko AY, Bilger R (1999) Prog Energy Combust Sci 25:595
Klimenko AY, Pope SB (2003) Phys Fluids 15(7):1907
Klimenko AY (1990) Fluid Dyn 25:327
Klimenko AY (1995) Phys Fluids 7(2):446
Kronenburg A (2004) Phys Fluids 16(7):2640
Kronenburg A, Bilger RW, Kent JH (2000) Combust Flame 121:24
Kronenburg A, Bilger RW (2001) Combust Sci Technol 166(1):195
Kronenburg A, Kostka M (2005) Combust Flame 143(4):342
Kronenburg A, Mastorakos E (2010) The conditional moment closure method, vol 95. Springer Science & Business. Media, pp 91–114
Kronenburg A, Stein OT (2017) Flow Turb Combust 98(3):803
Kuo KK (1986) Principles of combustion. Wiley
Kuznetsov VR, Sabel’nikov VA (1990) Turbulent combustion. Taylor and Francis
Lignell D, Hewson J, Chen J (2009) Proc Combust Inst 32(1):1491
Løvås T, Navarro-Martinez S, Rigopoulos S (2011) Proc Combust Inst 863–889
Lu T, Law CK (2009) Prog Energy Combust Sci 35(2):192
Mastorakos E, Bilger R (1998) Phys Fluids 10:1246
Mortensen M, Bilger RW (2009) Combust Flame 156:62
Navarro-Martinez S, Kronenburg A (2007) Proc Combust Inst 31:1721
Navarro-Martinez S, Kronenburg A (2009) Proc Combust Inst 32:1509
Navarro-Martinez S, Kronenburg A (2011) Flow Turb Combust 87(2):377406
Navarro-Martinez S, Kronenburg A, di Mare F (2005) Flow Turb Combust 75:245
Navarro-Martinez S, Rigopoulos S (2011) Flow Turb Combust 89(2):311
O’Brien EE, Jiang TL (1991) Phys Fluids A 3:3121
Patwardhan SS, De S, Lakshmisha KN, Raghunandan BN (2009) Proc Combust Inst 32:1705
Peters N (1984) Prog Energy Combust Sci 10:319
Peters N (2000) Turbulent combustion. Cambridge University Press
Pitsch H (2006) Annu Rev Fluid Mech 38(1):453
Poinsot T, Veynante D (2001). Theoretical and numerical combustion. R.T. Edwards, Inc
Pope SB (2013) Proc Combust Inst 34(1):1
Roomina MR, Bilger RW (1999) Combust Theor Model 3:689
Roomina M, Bilger R (2001) Combust Flame 125:1176
Seo J, Huh KY (2011) Proc Combust Inst 33:2127
Shin DH, Richardson ES (2015) In: CD-Rom Proceedings. European Combustion Meeting, Hungary
Siwaborworn P, Kronenburg A (2013) Conservative implementation of LES-CMC for turbulent jet flames. Springer, Berlin Heidelberg, pp 159–173
Stanković I, Triantafyllidis A, Mastorakos E, Lacor C, Merci B (2011) Flow Turb Combust 86(2):689710
Swaminathan N, Bilger RW (2001) Combust Theor Model 5(2):241
Thornber B, Bilger RW, Masri AR, Hawkes ER (2011) J Comput Phys 230(20):7687
Triantafyllidis A, Mastorakos E (2009) Flow Turb Combust 84(3):481
Tyliszczak A (2013) Arch Mech 97–129
Ukai S, Kronenburg A, Stein OT (2015) Proc Combust Inst 35(2):1667
Woolley RM, Fairweather M (2009) Yunardi Fuel 88:393
Wright YM, Boulouchos K, Paola GD, Mastorakos E, Int SAE (2009) J Engines 2:714
Wright YM, DePaola G, Boulouchos K, Mastorakos E (2005) Combust Flame 143:402
Zhang H, Mastorakos E (2016) Flow Turb Combust 863–889
Zoby M, Navarro-Martinez S, Kronenburg A, Marquis AJ (2011) Int J Heat Fluid Flow 32(3):499
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Navarro-Martinez, S. (2018). Conditional Moment Closure Methods for Turbulent Non-premixed Combustion. In: De, S., Agarwal, A., Chaudhuri, S., Sen, S. (eds) Modeling and Simulation of Turbulent Combustion. Energy, Environment, and Sustainability. Springer, Singapore. https://doi.org/10.1007/978-981-10-7410-3_9
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DOI: https://doi.org/10.1007/978-981-10-7410-3_9
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