Abstract
Local flow topologies have been identified and their interactions with the iso-scalar surfaces geometries have been investigated using the results of a three-dimensional direct numerical simulation (DNS) of a turbulent premixed methane-air flame in a piloted Bunsen burner configuration with tabulated chemistry. The universal teardrop shape of the joint probability density function (jpdf) of the second and third invariants of the velocity-gradient tensor disappears in the different flame regions under study. A ‘canonical’ vortex, which affects the fine-scale structure of the turbulent premixed flame, has been identified and analyzed at three times, differing by increments of the order of the Kolmogorov time micro-scale.
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References
Perry, A., Chong, M.: A description of eddying motions and flow patterns using critical-point concepts. Ann. Rev. Fluid Mech. 19, 125–155 (1987)
Chong, M., Perry, A., Cantwell, B.: A general classification of three-dimensional flow fields. Phys. Fluids 2, 765–777 (1990)
Soria, J., Sondergaard, R., Cantweel, B., Chong, M., Perry, A.: A study of the fine-scale motions of incompressible time-developing mixing layers. Phys. Fluids 6, 871–884 (1994)
Blackburn, H., Mansour, N., Cantwell, B.: Topology of fine-scale motions in turbulent channel flow. J. Fluid Mech. 301, 269–292 (1996)
Chong, M., Perry, A., Chacin, J., Cantweel, B.: Turbulence structures of wall-bounded shear flows found using DNS data. J. Fluid Mech. 357, 225–247 (1998)
Chacin, J., Cantwell, B.: Dynamics of a low Reynolds number turbulent boundary layer. J. Fluid Mech. 404, 87–115 (2000)
Ooi, A., Martin, J., Soria, J., Chong, M.: A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence. J. Fluid Mech. 381, 141–174 (1999)
Da silva, C., Pereira, J.: Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets. Phys. Fluids 120, 055101/ 1–8 (2008)
Suman, S., Girimaji, S.: Velocity gradient invariants and local flow field topology in compressible turbulence. J. Turbul. 11, 1–24 (2010)
Wang, L., Lu, X.: Flow topology in compressible turbulent boundary layer. J. Fluid Mech. 703, 255–278 (2012)
Chu, Y., Lu, X.: Topological evolution in compressible turbulent boundary layers. J. Fluid Mech. 733, 414–438 (2013)
Cifuentes, L., Dopazo, C., Martin, J., Jimenez, C.: Local flow topologies and scalar structures in a turbulent premixed flame. Phys. Fluids 126(6), 065108/ 1–24 (2014)
Lodato, G., Domingo, P., Vervisch, L.: Three-dimensional boundary conditions for direct and large-eddy simulation of compressible viscous flows. J. Comput. Phys. 227, 5105–5143 (2008)
Gicquel, O., Darabiha, N., Thevenin, D.: Laminar premixed hydrogen/air counterflow flame simulations using flame prolongation of ILDM with differential diffusion, Proc. Combust. Inst. 28, 1901–1908 (2000)
Godel, G., Domingo, P., Vervisch, L.: Tabulation of NOx chemistry for Large-Eddy Simulation of non-premixed turbulent flames. Proc. Combust. Inst. 32, 1555–1561 (2008)
Poinsot, T., Veynante, D.: Theoretical and Numerical Combustion. RT Edwards, Philadelphia, PA (2005)
Borghi, R.: On the structure and morphology of turbulent premixed flames, Recent advances in aerospace sciences: in honor of Luigi Crocco on his seventy-fifth birthday, pp. 117–138. Plenum Press, New York (1985)
Veynante, D., Vervisch, L.: Turbulent combustion modeling. Prog. Energy. Combust. Sci. 28, 193–266 (2002)
Cifuentes, L., Dopazo, C., Martin, J., Domingo, P., Vervisch, L.: Local volumetric dilatation rate and scalar geometries in a premixed methane-air turbulent jet flame. Proc. Combust. Inst. 35, 1295–1303 (2014)
Hunt, J., Wray, A., Moin, P.: Eddies, streams, and convergence zones in turbulent flows, Studying Turbulence Using Numerical Simulation Databases II Rept. CTR-S88, Stanford, Calif. (1988)
Tsinober, A., Ortenberg, M., Shtilman, L.: On depression of nonlinearity in turbulence. Phys. Fluids 11(8), 2291–2297 (1999)
Rutland, C., Trouve, A.: Direct simulations of premixed turbulent flames with nonunity Lewis numbers. Combust. Flame 94, 41–57 (1993)
Dopazo, C., Martin, J., Hierro, J.: Local geometry of isoscalar surfaces. Phys. Rev. E 76, 056316/1-11 (2007)
Renou, B., Boukhalfa, A., Puechberty, D., Trinite, M.: Effects of strech on the local structure of freely propagating premixed low-turbulent flames with various Lewis numbers. Proc. Comb. Inst. 27, 841–847 (1998)
Chakraborty, N., Cant, R.: Influence of Lewis number on curvature effects in turbulent premixed flame propagation in the thin reaction zones regime. Phys. Fluids 17, 105105/1-20 (2005)
Sankaran, R., Hawkes, E., Chen, J., Lu, T., Law, C.: Structure of a spatially developing turbulent lean methane-air Bunsen flame. Proc. Comsbust. Inst. 31, 1291–1298 (2007)
Ashurst, W., Kerstein, A., Kerr, R., Gibson, C.: Alignment of vorticity and scalar gradient in simulated navier-stokes turbulence. Phys. Fluids 30, 2343–2353 (1987)
Kerr, R.M.: Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31–58 (1985)
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Cifuentes, L., Dopazo, C., Martin, J. et al. Effects of the Local Flow Topologies Upon the Structure of a Premixed Methane-air Turbulent Jet Flame. Flow Turbulence Combust 96, 535–546 (2016). https://doi.org/10.1007/s10494-015-9686-1
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DOI: https://doi.org/10.1007/s10494-015-9686-1