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2018 | OriginalPaper | Chapter

8. Conditional Moment Closure for Turbulent Premixed Flames

Author : Shokri Amzin

Published in: Modeling and Simulation of Turbulent Combustion

Publisher: Springer Singapore

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Abstract

The conditional moment closure (CMC) is a well-established method for the modelling of turbulent non-premixed combustion, but its suitability when applied to turbulent premixed combustion is still a topic of research. Recently, the method has been improved and implemented with encouraging results. The method is used as a closure for the mean reaction rate, which includes the averaged species transport equation. Unlike the flamelet-based methods, its transport equations are derived with no explicit assumptions about the effect of turbulent vortices on the flame front structure. Hence, the CMC is expected to capture the finite-rate chemistry effects and thus predicts species with slow chemical time scales more efficiently. Most importantly, the method would apply to all regimes in turbulent premixed combustion. In this chapter, the method is described comprehensively along with its numerical implementation and some selected results.

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Literature
go back to reference Amzin S, Swaminathan N (2013) Conditional Moment Closure for turbulent lean premixed flames. Combust Theory Model 17:1125–1153MathSciNetCrossRef Amzin S, Swaminathan N (2013) Conditional Moment Closure for turbulent lean premixed flames. Combust Theory Model 17:1125–1153MathSciNetCrossRef
go back to reference Amzin S, Swaminathan N, Rogerson J, Kent JH (2012) Conditional Moment Closure for turbulent premixed flames. Combust Sci Tech 184:1–25CrossRef Amzin S, Swaminathan N, Rogerson J, Kent JH (2012) Conditional Moment Closure for turbulent premixed flames. Combust Sci Tech 184:1–25CrossRef
go back to reference Bilger RW (1993) Conditional Moment Closure for turbulent reacting flow. Phys Fluids A 5(2):436–444 Bilger RW (1993) Conditional Moment Closure for turbulent reacting flow. Phys Fluids A 5(2):436–444
go back to reference Bray KNC (2011) Laminar flamelets and the Bray, Moss, and Libby model. In: Swaminathan N, Bray KNC (ed) Turbulent premixed flames, 1st edn. Cambridge University Press, Cambridge, UK, pp 41–60 Bray KNC (2011) Laminar flamelets and the Bray, Moss, and Libby model. In: Swaminathan N, Bray KNC (ed) Turbulent premixed flames, 1st edn. Cambridge University Press, Cambridge, UK, pp 41–60
go back to reference Brewster BS, Cannon SM, Farmer JR, Meng F (1999) Modeling of lean premixed combustion in stationary gas turbines. Prog Energy Combust Sci 25(4):353–385CrossRef Brewster BS, Cannon SM, Farmer JR, Meng F (1999) Modeling of lean premixed combustion in stationary gas turbines. Prog Energy Combust Sci 25(4):353–385CrossRef
go back to reference Chakraborty N, Champion M, Mura A (2011) Scalar dissipation rate approach. In: Swaminathan N, Bray KNC (eds) Turbulent premixed flames, 1st edn. Cambridge University Press, Cambridge, UK, pp 1–33 Chakraborty N, Champion M, Mura A (2011) Scalar dissipation rate approach. In: Swaminathan N, Bray KNC (eds) Turbulent premixed flames, 1st edn. Cambridge University Press, Cambridge, UK, pp 1–33
go back to reference Colucci PJ, Jaberi FA, Pope SB (1998) Filtered density function for large eddy simulation of turbulent reacting flows. Phys Fluids 10:499–515MathSciNetCrossRefMATH Colucci PJ, Jaberi FA, Pope SB (1998) Filtered density function for large eddy simulation of turbulent reacting flows. Phys Fluids 10:499–515MathSciNetCrossRefMATH
go back to reference Correa SM (1993) A review of \( \rm {NO_x}\) formation under gas turbine combustion conditions. Combust Sci Tech 87(1–6):329–362CrossRef Correa SM (1993) A review of \( \rm {NO_x}\) formation under gas turbine combustion conditions. Combust Sci Tech 87(1–6):329–362CrossRef
go back to reference Dunn MJ, Masri AR, Bilger RW (2007) A new piloted premixed jet burner to study strong finite-rate chemistry effects. Combust Flame 151(1–2):46–60CrossRef Dunn MJ, Masri AR, Bilger RW (2007) A new piloted premixed jet burner to study strong finite-rate chemistry effects. Combust Flame 151(1–2):46–60CrossRef
go back to reference Dunn MJ, Masri AR, Bilger RW, Barlow RS, Wang GH (2009) The compositional structure of highly turbulent piloted premixed flames issuing into a hot co-flow. Proc Combust Inst 32(2):1779–1786CrossRef Dunn MJ, Masri AR, Bilger RW, Barlow RS, Wang GH (2009) The compositional structure of highly turbulent piloted premixed flames issuing into a hot co-flow. Proc Combust Inst 32(2):1779–1786CrossRef
go back to reference Dunn MJ, Masri AR, Bilger RW, Barlow RS (2010) Finite rate chemistry effects in highly sheared turbulent premixed flames. Flow Turb Combust 85:621–648CrossRefMATH Dunn MJ, Masri AR, Bilger RW, Barlow RS (2010) Finite rate chemistry effects in highly sheared turbulent premixed flames. Flow Turb Combust 85:621–648CrossRefMATH
go back to reference Duwig C, Nogenmyr KJ, Chan CK, Dunn MJ (2011) Large Eddy Simulations of a piloted lean premix jet flame using finite-rate chemistry. Combust Theory Model 15(4):537–568CrossRefMATH Duwig C, Nogenmyr KJ, Chan CK, Dunn MJ (2011) Large Eddy Simulations of a piloted lean premix jet flame using finite-rate chemistry. Combust Theory Model 15(4):537–568CrossRefMATH
go back to reference Jeffrey L, Christopher J, Steven JA (2001) comparison of turbulent models for a supersonic jet in transonic cross-flow. AIAA (1):1048 Jeffrey L, Christopher J, Steven JA (2001) comparison of turbulent models for a supersonic jet in transonic cross-flow. AIAA (1):1048
go back to reference Kee RJ, Grcar JF, Smooke MD, Miller JA, Meeks E (1985) A fortran program for modelling steady laminar one-dimensional premixed flames. Sandia National Laboratories, Livermore, CA Kee RJ, Grcar JF, Smooke MD, Miller JA, Meeks E (1985) A fortran program for modelling steady laminar one-dimensional premixed flames. Sandia National Laboratories, Livermore, CA
go back to reference Klimenko AY, Bilger RW (1999) Conditional moment closure for turbulent combustion. Prog. Energy Combust. Sci. 25:595–687 Klimenko AY, Bilger RW (1999) Conditional moment closure for turbulent combustion. Prog. Energy Combust. Sci. 25:595–687
go back to reference Kolla H, Swaminathan N (2010) Strained flamelets for turbulent premixed flames I: formulation and planar flame results. Combust Flame 157:943–954CrossRef Kolla H, Swaminathan N (2010) Strained flamelets for turbulent premixed flames I: formulation and planar flame results. Combust Flame 157:943–954CrossRef
go back to reference Kolla H, Rogerson JW, Chakraborty N, Swaminathan N (2009) Scalar dissipation rate modelling and its validation. Combust Sci Tech 181(3):518–535CrossRef Kolla H, Rogerson JW, Chakraborty N, Swaminathan N (2009) Scalar dissipation rate modelling and its validation. Combust Sci Tech 181(3):518–535CrossRef
go back to reference Libby PA, Williams FA (1982) Structure of laminar flamelets in premixed turbulent flames. Combust Flame 44(1–3):287–303CrossRef Libby PA, Williams FA (1982) Structure of laminar flamelets in premixed turbulent flames. Combust Flame 44(1–3):287–303CrossRef
go back to reference Lieuwen T, Torres H, Johnson C, Zinn BT (2001) A mechanism of combustion instability in lean premixed gas turbine combustors. J Eng Gas Turb Power 123(1):182–189CrossRef Lieuwen T, Torres H, Johnson C, Zinn BT (2001) A mechanism of combustion instability in lean premixed gas turbine combustors. J Eng Gas Turb Power 123(1):182–189CrossRef
go back to reference Mura A, Galzin F, Borghi R (2003) A unified PDF-flamelet model for turbulent premixed combustion. Combust Sci Technol 175:1573–1609 Mura A, Galzin F, Borghi R (2003) A unified PDF-flamelet model for turbulent premixed combustion. Combust Sci Technol 175:1573–1609
go back to reference OBrien EE (1980) The probability density function PDF approach to reacting turbulent flows. In: Turbulent reacting flows, pp 185–218 OBrien EE (1980) The probability density function PDF approach to reacting turbulent flows. In: Turbulent reacting flows, pp 185–218
go back to reference Patankar SV (1980) Numerical heat transfer and fluid flow. Hemisphere Publishing Corporation, Washington, USAMATH Patankar SV (1980) Numerical heat transfer and fluid flow. Hemisphere Publishing Corporation, Washington, USAMATH
go back to reference Poinsot T, Veyante D (2005) Theoretical and numerical combustion, 2nd edn. Westview Press, Philadelphia, USA Poinsot T, Veyante D (2005) Theoretical and numerical combustion, 2nd edn. Westview Press, Philadelphia, USA
go back to reference Pope SB (1978) An explanation of the turbulent round-jet/plane-jet anomaly. AIAA J 16(3):279–281CrossRef Pope SB (1978) An explanation of the turbulent round-jet/plane-jet anomaly. AIAA J 16(3):279–281CrossRef
go back to reference Pope SB (1985) PDF methods for turbulent reactive flows. Prog Energy Combust Sci 11(2):119–192CrossRef Pope SB (1985) PDF methods for turbulent reactive flows. Prog Energy Combust Sci 11(2):119–192CrossRef
go back to reference Pope SB, Anand MS (1987) Calculations of premixed turbulent flames by PDF methods. Combust Flame 67:127–142 Pope SB, Anand MS (1987) Calculations of premixed turbulent flames by PDF methods. Combust Flame 67:127–142
go back to reference Richardson ES, Chakraborty N, Mastorakos E (2007) Analysis of Direct Numerical Simulations of ignition fronts in turbulent non-premixed flames in the context of Conditional Moment Closure. Proc Combust Inst 31(1):1683–1690CrossRef Richardson ES, Chakraborty N, Mastorakos E (2007) Analysis of Direct Numerical Simulations of ignition fronts in turbulent non-premixed flames in the context of Conditional Moment Closure. Proc Combust Inst 31(1):1683–1690CrossRef
go back to reference Rogerson JW, Kent JH, Bilger RW (2007) Conditional moment closure in bagasse-fired boiler. Proc Combust Ins 31:2805–2811CrossRef Rogerson JW, Kent JH, Bilger RW (2007) Conditional moment closure in bagasse-fired boiler. Proc Combust Ins 31:2805–2811CrossRef
go back to reference Rowinski DH, Pope SB (2011) Pdf calculations of piloted premixed jet flames. Combust Theory Model 15(2):245–266 Rowinski DH, Pope SB (2011) Pdf calculations of piloted premixed jet flames. Combust Theory Model 15(2):245–266
go back to reference Swaminathan N, Bilger RW (2001) Analysis of Conditional Moment Closure for turbulent premixed flames. Combust Theory Model 5:241–260CrossRefMATH Swaminathan N, Bilger RW (2001) Analysis of Conditional Moment Closure for turbulent premixed flames. Combust Theory Model 5:241–260CrossRefMATH
go back to reference Swaminathan N, Bray KNC (2011) Turbulent premixed flames. Cambridge University Press, Cambridge, UKCrossRefMATH Swaminathan N, Bray KNC (2011) Turbulent premixed flames. Cambridge University Press, Cambridge, UKCrossRefMATH
go back to reference Veynante D, Vervisch L (2002) Turbulent combustion modelling. Prog Energy Combust Sci 28(3):193–266CrossRef Veynante D, Vervisch L (2002) Turbulent combustion modelling. Prog Energy Combust Sci 28(3):193–266CrossRef
Metadata
Title
Conditional Moment Closure for Turbulent Premixed Flames
Author
Shokri Amzin
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-7410-3_8

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