Evaluation of the Local Burning Velocity Using DNS Data of Turbulent Premixed Flames

Affiliation(s)

Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan.

Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan.

ABSTRACT

The local burning velocity, which is based on the consumption rate of the unburned mixture, is one of the dominant parameters in turbulent premixed flames. In this study, the evaluating method of the local burning velocity was investigated using DNS data of turbulent premixed flames with different Lewis numbers. The local burning velocity was evaluated by integrating the chemical reaction rates along normal to the flame surface within three kinds of integration ranges that were defined as follows: the range which is defined by the half length of normal to the flame surface between its certain point and the other point crossing the flame surface (Range 1); the range which is defined by the reaction progress variable that the chemical reaction rate along normal to a planer flame surface takes a half of the maximum value (Range 2); the range which is defined by the length of normal to the flame surface between its certain point and the point which has the extreme value of the reaction progress variable (Range 3). As a result, Range 1 and Range 2 were affected by the flame shapes greatly, since the quantities of the integration ranges fluctuated widely dependent on the variations of turbulent premixed flames. Under the conditions of the turbulent combustion in this study, Range 3, which is hardly affected by a flame shape, is considered to be appropriate to the evaluation of the local burning velocity.

KEYWORDS

Local Burning Velocity, Integration Range, Reaction Progress Variable, Turbulent Premixed Flame, Direct Numerical Simulation

Local Burning Velocity, Integration Range, Reaction Progress Variable, Turbulent Premixed Flame, Direct Numerical Simulation

Cite this paper

Tsuboi, K. , Matsugi, R. and Tomita, E. (2014) Evaluation of the Local Burning Velocity Using DNS Data of Turbulent Premixed Flames.*Natural Science*, **6**, 1030-1036. doi: 10.4236/ns.2014.612093.

Tsuboi, K. , Matsugi, R. and Tomita, E. (2014) Evaluation of the Local Burning Velocity Using DNS Data of Turbulent Premixed Flames.

References

[1] Poinsot, T., Echekki, T. and Mungal, M.G. (1992) A Study of the Laminar Flame Tip and Implications for Premixed Turbulent Combustion. Combustion Science and Technology, 81, 45-73.

http://dx.doi.org/10.1080/00102209208951793

[2] Haworth, D.C. and Poinsot, T.J. (1992) Numerical Simulations of Lewis Number Effects in Turbulent Premixed Flames. Journal of Fluid Mechanics, 244, 405-436.

http://dx.doi.org/10.1017/S0022112092003124

[3] Rutland, C.J. and Trouvé, A. (1993) Direct Simulations of Premixed Turbulent Flames with Nonunity Lewis Numbers. Combustion and Flame, 94, 41-57.

http://dx.doi.org/10.1016/0010-2180(93)90018-X

[4] Chen, J.H. and Im, H.G. (2000) Stretch Effects on the Burning Velocity of Turbulent Premixed Hydrogen/Air Flames. Proceedings of the Combustion Institute, 28, 211-218.

http://dx.doi.org/10.1016/S0082-0784(00)80213-1

[5] Bell, J.B., Cheng, R.K., Day, M.S. and Shepherd, I.G. (2007) Numerical Simulation of Lewis Number Effects on Lean Premixed Turbulent Flames. Proceedings of the Combustion Institute, 31, 1309-1317.

http://dx.doi.org/10.1016/j.proci.2006.07.216

[6] Day, M., Tachibana, S., Bell, J., Lijewski, M., Beckner, V. and Cheng, R.K. (2012) A Combined Computational and Experimental Characterization of Lean Premixed Turbulent Low Swirl Laboratory Flames I. Methane Flames. Combustion and Flame, 159, 275-290.

http://dx.doi.org/10.1016/j.combustflame.2011.06.016

[7] Han, I. and Huh, K.Y. (2008) Roles of Displacement Speed on Evolution of Flame Surface Density for Different Turbulent Intensities and Lewis Numbers in Turbulent Premixed Combustion. Combustion and Flame, 152, 194-205.

http://dx.doi.org/10.1016/j.combustflame.2007.10.003

[8] Tsuboi, K., Nishiki, S. and Hasegawa, T. (2008) An Analysis of Local Quantities of Turbulent Premixed Flames Using DNS Databases. Journal of Thermal Science and Technology, 3, 103-111.

http://dx.doi.org/10.1299/jtst.3.103

[9] Poinsot, T.J. and Lele, S.K. (1992) Boundary Conditions for Direct Simulations of Compressible Viscous Flows. Journal of Computational Physics, 101, 104-129.

http://dx.doi.org/10.1016/0021-9991(92)90046-2

[10] Baum, M., Poinsot, T. and Thévenin, D. (1995) Accurate Boundary Conditions for Multicomponent Reactive Flows. Journal of Computational Physics, 116, 247-261.

http://dx.doi.org/10.1006/jcph.1995.1024

[11] Peters, N. (1999) The Turbulent Burning Velocity for Large-Scale and Small-Scale Turbulence. Journal of Fluid Mechanics, 384, 107-132.

http://dx.doi.org/10.1017/S0022112098004212

[12] Nishiki, S., Hasegawa, T., Borghi, R. and Himeno, R. (2002) Analyzing and Modeling of Transport Properties of Turbulent Kinetic Energy and Turbulent Scalar Flux in Turbulent Premixed Flames by DNS. Journal of the Combustion Society of Japan, 48, 47-57. (in Japanese)

[13] Nishiki, S., Hasegawa, T., Borghi, R. and Himeno, R. (2006) Modelling of Turbulent Scalar Flux in Turbulent Premixed Flames Based on DNS Databases. Combustion Theory and Modelling, 10, 39-55.

http://dx.doi.org/10.1080/13647830500307477

[14] Nishiki, S. (2003) DNS and Modeling of Turbulent Premixed Combustion. Doctoral Thesis, Nagoya Institute of Technology, Nagoya.

[15] Tsuboi, K., Tomita, E. and Hasegawa, T. (2014) DNS Analysis on the Correlation between Local Burning Velocity and Flame Displacement Speed of Turbulent Premixed Flames. Journal of Thermal Science and Technology (Submitted).

[1] Poinsot, T., Echekki, T. and Mungal, M.G. (1992) A Study of the Laminar Flame Tip and Implications for Premixed Turbulent Combustion. Combustion Science and Technology, 81, 45-73.

http://dx.doi.org/10.1080/00102209208951793

[2] Haworth, D.C. and Poinsot, T.J. (1992) Numerical Simulations of Lewis Number Effects in Turbulent Premixed Flames. Journal of Fluid Mechanics, 244, 405-436.

http://dx.doi.org/10.1017/S0022112092003124

[3] Rutland, C.J. and Trouvé, A. (1993) Direct Simulations of Premixed Turbulent Flames with Nonunity Lewis Numbers. Combustion and Flame, 94, 41-57.

http://dx.doi.org/10.1016/0010-2180(93)90018-X

[4] Chen, J.H. and Im, H.G. (2000) Stretch Effects on the Burning Velocity of Turbulent Premixed Hydrogen/Air Flames. Proceedings of the Combustion Institute, 28, 211-218.

http://dx.doi.org/10.1016/S0082-0784(00)80213-1

[5] Bell, J.B., Cheng, R.K., Day, M.S. and Shepherd, I.G. (2007) Numerical Simulation of Lewis Number Effects on Lean Premixed Turbulent Flames. Proceedings of the Combustion Institute, 31, 1309-1317.

http://dx.doi.org/10.1016/j.proci.2006.07.216

[6] Day, M., Tachibana, S., Bell, J., Lijewski, M., Beckner, V. and Cheng, R.K. (2012) A Combined Computational and Experimental Characterization of Lean Premixed Turbulent Low Swirl Laboratory Flames I. Methane Flames. Combustion and Flame, 159, 275-290.

http://dx.doi.org/10.1016/j.combustflame.2011.06.016

[7] Han, I. and Huh, K.Y. (2008) Roles of Displacement Speed on Evolution of Flame Surface Density for Different Turbulent Intensities and Lewis Numbers in Turbulent Premixed Combustion. Combustion and Flame, 152, 194-205.

http://dx.doi.org/10.1016/j.combustflame.2007.10.003

[8] Tsuboi, K., Nishiki, S. and Hasegawa, T. (2008) An Analysis of Local Quantities of Turbulent Premixed Flames Using DNS Databases. Journal of Thermal Science and Technology, 3, 103-111.

http://dx.doi.org/10.1299/jtst.3.103

[9] Poinsot, T.J. and Lele, S.K. (1992) Boundary Conditions for Direct Simulations of Compressible Viscous Flows. Journal of Computational Physics, 101, 104-129.

http://dx.doi.org/10.1016/0021-9991(92)90046-2

[10] Baum, M., Poinsot, T. and Thévenin, D. (1995) Accurate Boundary Conditions for Multicomponent Reactive Flows. Journal of Computational Physics, 116, 247-261.

http://dx.doi.org/10.1006/jcph.1995.1024

[11] Peters, N. (1999) The Turbulent Burning Velocity for Large-Scale and Small-Scale Turbulence. Journal of Fluid Mechanics, 384, 107-132.

http://dx.doi.org/10.1017/S0022112098004212

[12] Nishiki, S., Hasegawa, T., Borghi, R. and Himeno, R. (2002) Analyzing and Modeling of Transport Properties of Turbulent Kinetic Energy and Turbulent Scalar Flux in Turbulent Premixed Flames by DNS. Journal of the Combustion Society of Japan, 48, 47-57. (in Japanese)

[13] Nishiki, S., Hasegawa, T., Borghi, R. and Himeno, R. (2006) Modelling of Turbulent Scalar Flux in Turbulent Premixed Flames Based on DNS Databases. Combustion Theory and Modelling, 10, 39-55.

http://dx.doi.org/10.1080/13647830500307477

[14] Nishiki, S. (2003) DNS and Modeling of Turbulent Premixed Combustion. Doctoral Thesis, Nagoya Institute of Technology, Nagoya.

[15] Tsuboi, K., Tomita, E. and Hasegawa, T. (2014) DNS Analysis on the Correlation between Local Burning Velocity and Flame Displacement Speed of Turbulent Premixed Flames. Journal of Thermal Science and Technology (Submitted).