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Statistical behavior of turbulent kinetic energy transport in boundary layer flashback of hydrogen-rich premixed combustion
Phys. Rev. Fluids 4, 103201 – Published 4 October, 2019
DOI: https://doi.org/10.1103/PhysRevFluids.4.103201
Abstract
A direct numerical simulation (DNS) database for boundary layer flashback of a premixed hydrogen-air flame with an equivalence ratio of 1.5 in a fully developed turbulent channel flow has been considered for this analysis. The nonreacting part of the channel flow is representative of the friction velocity based Reynolds number . A skeletal chemical mechanism with 9 chemical species and 20 reactions is employed for representing hydrogen-air combustion. In this work the flow configuration and the turbulence and flame characteristics are similar to those of Gruber et al. [J. Fluid Mech. 709, 516 (2012)]. The interaction between the flame structure and the turbulent flow has been investigated for boundary layer flashback for a comparison with the earlier work of Gruber et al. [J. Fluid Mech. 709, 516 (2012)]. The statistics of wall shear stress, turbulent kinetic energy, and its dissipation have been analyzed to probe the influence of the flame on the underlying turbulence in the channel flow configuration. Furthermore, the budgets for the individual terms in the turbulent kinetic energy transport equation have also been investigated at a given plane in the channel. It is found that the propagation of the flame into the upstream part of the fully developed turbulent boundary layer introduces a flow reversal in some regions upstream of the flame and these regions lead to negative wall shear stress. Interrogation of the DNS data for the budgets of the turbulent kinetic energy transport has revealed that the aforementioned local flow reversal regions have significant influences on the turbulent kinetic energy production, pressure dilatation, and pressure transport terms. It has been found that the flame propagation into the upstream reactants leads to some weak local compressibility effects as demonstrated by the changes in the pressure related terms in the turbulent kinetic energy transport equation. These results indicate that the pressure dilatation and turbulent transport due to pressure are the two dominant terms in the turbulent kinetic energy equation in the case of wall bounded flashback flames.
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References (59)
- O. Bolland and H. Undrum, A novel methodology for comparing capture options for natural gas-fired combined cycle plants, Adv. Environ. Res. 7, 901 (2003).
- T. C. Lieuwen, V. McDonell, E. Petersen, and D. Santavicca, Fuel flexibility influences on premixed combustor blowout, flashback, autoignition, and stability, J. Eng. Gas Turbines Power 130, 011506 (2008).
- G. Rabenstein and V. Hacker, Hydrogen for fuel cells from ethanol by steam-reforming, partial-oxidation and combined auto-thermal reforming: A thermodynamic analysis, J. Power Sources 185, 1293 (2008).
- M. Ni, D. Y. Leung, M. K. Leung, and K. Sumathy, An overview of hydrogen production from biomass, Fuel Process. Technol. 87, 461 (2006).
- C. Mayer, J. Sangl, T. Sattelmayer, T. Lachaux, and S. Bernero, Study on the operational window of a swirl stabilized syngas burner under atmospheric and high pressure conditions, J. Eng. Gas Turbines Power 134, 031506 (2012).
- 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).
- W. P. Jones and B. Launder, The prediction of laminarization with a two-equation model of turbulence, Int. J. Heat Mass Transf. 15, 301 (1972).
- P. A. Durbin and B. A. Pettersson Reif, Statistical Theory and Modeling for Turbulent Flows (John Wiley and Sons, New York, 2001).
- S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
- B. Karlovitz, D. Denniston, D. Knapschaefer, and F. Wells, Studies on turbulent flames, Proc. Combust. Inst. 4, 613 (1953).
- K. N. C. Bray and P. A. Libby, Interaction effects in turbulent premixed flames, Phys. Fluids 19, 1687 (1976).
- P. Moreau and A. Boutier, Laser velocimeter measurements in a turbulent flame, Proc. Combust. Inst. 16, 1747 (1977).
- K. N. C. Bray, P. A. Libby, G. Masuya, and J. Moss, Turbulence production in premixed turbulent flames, Combust. Sci. Technol. 25, 127 (1981).
- K. N. C. Bray, P. A. Libby, and J. Moss, Unified modeling approach for premixed turbulent combustion part I: General formulation, Combust. Flame 61, 87 (1985).
- J. Moss, Simultaneous measurements of concentration and velocity in an open premixed turbulent flame, Combust. Sci. Technol. 22, 119 (1980).
- R. Borghi and D. Escudie, Assessment of a theoretical model of turbulent combustion by comparison with a simple experiment, Combust. Flame 56, 149 (1984).
- J. Chomiak and J. Nisbet, Modeling variable density effects in turbulent flames—Some basic considerations, Combust. Flame 102, 371 (1995).
- H. Kolla, E. R. Hawkes, A. R. Kerstein, N. Swaminathan, and J. H. Chen, On velocity and reactive scalar spectra in turbulent premixed flames, J. Fluid Mech. 754, 456 (2014).
- C. J. Rutland and R. S. Cant, Turbulent transport in premixed flames, in Proceedings of the Summer Program, Center for Turbulent Research (NASA Ames/Stanford University, Palo Alto, CA, 1994), pp. 75–94.
- S. Zhang and C. J. Rutland, Premixed flame effects on turbulence and pressure-related terms, Combust. Flame 102, 447 (1995).
- S. Nishiki, T. Hasegawa, R. Borghi, and R. Himeno, Modeling of flame-generated turbulence based on direct numerical simulation databases, Proc. Combust. Inst. 29, 2017 (2002).
- J. O'Brien, C. A. Towery, P. E. Hamlington, M. Ihme, A. Y. Poludnenko, and J. Urzay, The cross-scale physical-space transfer of kinetic energy in turbulent premixed flames, Proc. Combust. Inst. 36, 1967 (2017).
- P. Domingo and K. N. C. Bray, Laminar flamelet expressions for pressure fluctuation terms in second moment models of premixed turbulent combustion, Combust. Flame 121, 555 (2000).
- N. Chakraborty, M. Katragadda, and R. S. Cant, Statistics and modeling of turbulent kinetic energy transport in different regimes of premixed combustion, Flow Turbul. Combust. 87, 205 (2011).
- N. Chakraborty, M. Katragadda, and R. S. Cant, Effects of Lewis number on turbulent kinetic energy transport in premixed flames, Phys. Fluids 23, 075109 (2011).
- J. Lai, A. Moody, and N. Chakraborty, Turbulent kinetic energy transport in head-on quenching of turbulent premixed flames in the context of Reynolds Averaged Navier Stokes simulations, Fuel 199, 456 (2017).
- T. Kitano, T. Tsuji, R. Kurose, and S. Komori, Effect of pressure oscillations on flashback characteristics in a turbulent channel flow, Energy Fuels 29, 6815 (2015).
- A. L. Pillai and R. Kurose, Combustion noise analysis of a turbulent spray flame using a hybrid DNS/APE-RF approach, Combust. Flame 200, 168 (2019).
- Y. Hu and R. Kurose, Nonpremixed and premixed flamelets LES of partially premixed spray flames using a two-phase transport equation of progress variable, Combust. Flame 188, 227 (2018).
- U. Ahmed, C. Turquand d'Auzay, M. Muto, N. Chakraborty, and R. Kurose, Statistics of reaction progress variable and mixture fraction gradients of a pulverised coal jet flame using direct numerical simulation data, Proc. Combust. Inst. 37, 2821 (2019).
- T. Hara, M. Muto, T. Kitano, R. Kurose, and S. Komori, Direct numerical simulation of a pulverized coal jet flame employing a global volatile matter reaction scheme based on detailed reaction mechanism, Combust. Flame 162, 4391 (2015).
- C. Turquand d'Auzay, U. Ahmed, A. L. Pillai, N. Chakraborty, and R. Kurose, Statistics of progress variable and mixture fraction gradients in an open turbulent jet spray flame, Fuel 247, 198 (2019).
- J. A. Miller and C. T. Bowman, Mechanism and modeling of nitrogen chemistry in combustion, Prog. Energy Combust. Sci. 15, 287 (1989).
- B. Leonard, A stable and accurate convective modeling procedure based on quadratic upstream interpolation, Comput. Methods Appl. Mech. Eng. 19, 59 (1979).
- V. Moureau, C. Bérat, and H. Pitsch, An efficient semi-implicit compressible solver for large-eddy simulations, J. Comput. Phys. 226, 1256 (2007).
- H. Pitsch, A C ++ computer program for 0D combustion and 1D laminar flame calculations, https://www.itv.rwth-aachen.de/en/downloads/flamemaster/.
- R. D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to , Phys. Fluids 11, 943 (1999).
- T. Tsukahara, Y. Seki, H. Kawamura, and D. Tochio, DNS of turbulent channel flow at very low Reynolds numbers, in Proceedings of the 4th International Symposium for Turbulence and Shear Flow Phenomena (Williamsburg, VA, 2005), pp. 935–940.
- Database available online at https://www.rs.tus.ac.jp/t2lab/db/.
- J. Kim, P. Moin, and R. D. Moser, Turbulence statistics in fully developed channel flow at low reynolds number, J. Fluid Mech. 177, 133 (1987).
- A. N. Lipatnikov, V. A. Sabelnikov, S. Nishiki, and T. Hasegawa, Combustion-induced local shear layers within premixed flamelets in weakly turbulent flows, Phys. Fluids 30, 085101 (2018).
- U. Ahmed, N. Chakraborty, and M. Klein, On the stress-strain alignment in premixed turbulent flames, Sci. Rep. 9, 5092 (2019).
- I. Hadžić, K. Hanjalić, and D. R. Laurence, Modeling the response of turbulence subjected to cyclic irrotational strain, Phys. Fluids 13, 1739 (2001).
- A. J. Revell, S. Benhamadouche, T. J. Craft, and D. R. Laurence, A stress strain large eddy viscosity model for unsteady mean flow, Int. J. Heat Fluid Flow 27, 821 (2006).
- J. Chen, C. Meneveau, and J. Katz, Scale interactions of turbulence subjected to a straining-relaxation-destraining cycle, J. Fluid Mech. 562, 123 (2006).
- U. Ahmed, R. Prosser, and A. J. Revell, Toward the development of an evolution equation for flame turbulence interaction in premixed turbulent combustion, Flow Turbul. Combust. 93, 637 (2014).
- N. Chakraborty and N. Swaminathan, Influence of the Damköhler number on turbulence-scalar interaction in premixed flames, I. Physical insight, Phys. Fluids 19, 045103 (2007).
- H. S. Kim and H. Pitsch, Scalar gradient and small-scale structure in turbulent premixed combustion, Phys. Fluids 19, 115104 (2007).
- J. Boussinesq, Theorie de l'ecoulement tourbillant, Mem. Pres. par div. savant a lacad. sci. Paris 23, 46 (1877).
- A. J. Revell, T. J. Craft, and D. R. Laurence, Turbulence modeling of unsteady turbulent flows using the stress strain lag model, Flow, Turbul. Combust. 86, 129 (2011).
- P. E. Hamlington and W. J. Dahm, Reynolds stress closure for nonequilibrium effects in turbulent flows, Phys. Fluids 20, 115101 (2008).
- P. E. Hamlington and M. Ihme, Modeling of non-equilibrium homogeneous turbulence in rapidly compressed flows, Flow, Turbul. Combust. 93, 93 (2014).
- B. Launder, On the effects of a gravitational field on the turbulent transport of heat and momentum, J. Fluid Mech. 67, 569 (1975).
- N. Swaminathan and K. N. C. Bray, Effect of dilatation on scalar dissipation in turbulent premixed flames, Combust. Flame 143, 549 (2005).
- U. Ahmed and R. Prosser, Modeling flame turbulence interaction in RANS simulation of premixed turbulent combustion, Combust. Theory Model. 20, 34 (2016).
- U. Ahmed and R. Prosser, A posteriori assessment of algebraic scalar dissipation models for RANS simulation of premixed turbulent combustion, Flow, Turbul. Combust. 100, 39 (2018).
- H. Kolla, J. W. Rogerson, N. Chakraborty, and N. Swaminathan, Scalar dissipation rate modeling and its validation, Combust. Sci. Technol. 181, 518 (2009).
- H. Kolla, J. W. Rogerson, and N. Swaminathan, Validation of a turbulent flame speed model across combustion regimes, Combust. Sci. Technol. 182, 284 (2010).
- A. Gruber, A. R. Kerstein, D. Valiev, C. K. Law, H. Kolla, and J. H. Chen, Modeling of mean flame shape during premixed flame flashback in turbulent boundary layers, Proc. Combust. Inst. 35, 1485 (2015).