A numerical study of the diffusive-thermal instability of opposed nonpremixed tubular flames
Abstract
The diffusive-thermal (D-T) instability of opposed nonpremixed tubular flames near extinction is investigated here using two-dimensional (2-D) direct numerical simulations together with the linear stability analysis. Two different initial conditions (IC), i.e. the perturbed IC and the C-shaped IC are adopted to elucidate the effects of small and large amplitude disturbances on the formation of flame cells, similar to conditions found in linear stability analysis and experiments, respectively. The characteristics of the D-T instability of tubular flames are identified by a critical Damköhler number, DaC, at which the D-T instability first occurs and the corresponding number of flame cells for three different tubular flames with different flame radii. It is found that DaC predicted through linear stability analysis shows good agreement with that obtained from the 2-D simulations performed with two different ICs. The flame cell number, Ncell, from the 2-D simulations with the perturbed IC is also found to be equal to an integer close to the maximum wavenumber, kmax, obtained from the linear stability analysis. However, Ncell from the 2-D simulations with the C-shaped IC is smaller than kmax and Ncell found from the simulations with the perturbed IC. This is primarily because the strong reaction at themore »
- Authors:
-
- Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of). Dept. of Mechanical Engineering
- Seoul National Univ. of Science and Technology (Korea, Republic of). Dept. of Mechanical and Automotive Engineering
- Sandia National Lab. (SNL-CA), Livermore, CA (United States). Combustion Research Facility
- Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of). Dept. of Mechanical Engineering. School of Mechanical and Nuclear Engineering
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States); Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Research Foundation of Korea (NRF); Ministry of Science, ICT and Future Planning (MSIP) of Korea
- OSTI Identifier:
- 1497641
- Alternate Identifier(s):
- OSTI ID: 1254880
- Report Number(s):
- SAND2015-10478J
Journal ID: ISSN 0010-2180; 672293
- Grant/Contract Number:
- AC04-94AL85000; 2015M1A3A3A02027319; 2015R1A2A2A01007378
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Combustion and Flame
- Additional Journal Information:
- Journal Volume: 162; Journal Issue: 12; Journal ID: ISSN 0010-2180
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; diffusive-thermal instability; nonpremixed tubular flame; hydrogen; linear stability analysis; displacement speed
Citation Formats
Bak, Hyun Su, Lee, Su Ryong, Chen, Jacqueline H., and Yoo, Chun Sang. A numerical study of the diffusive-thermal instability of opposed nonpremixed tubular flames. United States: N. p., 2015.
Web. doi:10.1016/j.combustflame.2015.09.019.
Bak, Hyun Su, Lee, Su Ryong, Chen, Jacqueline H., & Yoo, Chun Sang. A numerical study of the diffusive-thermal instability of opposed nonpremixed tubular flames. United States. https://doi.org/10.1016/j.combustflame.2015.09.019
Bak, Hyun Su, Lee, Su Ryong, Chen, Jacqueline H., and Yoo, Chun Sang. Thu .
"A numerical study of the diffusive-thermal instability of opposed nonpremixed tubular flames". United States. https://doi.org/10.1016/j.combustflame.2015.09.019. https://www.osti.gov/servlets/purl/1497641.
@article{osti_1497641,
title = {A numerical study of the diffusive-thermal instability of opposed nonpremixed tubular flames},
author = {Bak, Hyun Su and Lee, Su Ryong and Chen, Jacqueline H. and Yoo, Chun Sang},
abstractNote = {The diffusive-thermal (D-T) instability of opposed nonpremixed tubular flames near extinction is investigated here using two-dimensional (2-D) direct numerical simulations together with the linear stability analysis. Two different initial conditions (IC), i.e. the perturbed IC and the C-shaped IC are adopted to elucidate the effects of small and large amplitude disturbances on the formation of flame cells, similar to conditions found in linear stability analysis and experiments, respectively. The characteristics of the D-T instability of tubular flames are identified by a critical Damköhler number, DaC, at which the D-T instability first occurs and the corresponding number of flame cells for three different tubular flames with different flame radii. It is found that DaC predicted through linear stability analysis shows good agreement with that obtained from the 2-D simulations performed with two different ICs. The flame cell number, Ncell, from the 2-D simulations with the perturbed IC is also found to be equal to an integer close to the maximum wavenumber, kmax, obtained from the linear stability analysis. However, Ncell from the 2-D simulations with the C-shaped IC is smaller than kmax and Ncell found from the simulations with the perturbed IC. This is primarily because the strong reaction at the edges of the horseshoe-shaped cellular flame developed from the C-shaped IC is more likely to produce larger flame cells and reduce Ncell. It is also found that for cases with the C-shaped IC, once the cellular instability occurs, the number of flame cells remains constant until global extinction occurs by incomplete reaction manifested by small Da. It is also verified through the displacement speed, Sd, analysis that the two edges of the horseshoe-shaped cellular flame are stationary and therefore do not merge due to the diffusion–reaction balance at the edges. Moreover, large negative Sd is observed at the local extinction points while small positive or negative Sd features in the movement of flame cells as they adjust their location and size towards steady state.},
doi = {10.1016/j.combustflame.2015.09.019},
journal = {Combustion and Flame},
number = 12,
volume = 162,
place = {United States},
year = {Thu Oct 22 00:00:00 EDT 2015},
month = {Thu Oct 22 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Tubular premixed and diffusion flames: Effect of stretch and curvature
journal, June 2014
- Pitz, Robert W.; Hu, Shengteng; Wang, Peiyong
- Progress in Energy and Combustion Science, Vol. 42
Edge-flames
journal, January 2002
- Buckmaster, J.
- Progress in Energy and Combustion Science, Vol. 28, Issue 5
Dynamics of bluff-body-stabilized premixed hydrogen/air flames in a narrow channel
journal, June 2015
- Lee, Bok Jik; Yoo, Chun Sang; Im, Hong G.
- Combustion and Flame, Vol. 162, Issue 6
Structure, aerodynamics, and geometry of premixed flamelets
journal, August 2000
- Law, C. K.; Sung, C. J.
- Progress in Energy and Combustion Science, Vol. 26, Issue 4-6
A DNS study of self-accelerating cylindrical hydrogen–air flames with detailed chemistry
journal, January 2015
- Xin, Y. X.; Yoo, C. S.; Chen, J. H.
- Proceedings of the Combustion Institute, Vol. 35, Issue 1
Flame dynamics
journal, January 2009
- Matalon, Moshe
- Proceedings of the Combustion Institute, Vol. 32, Issue 1
Diffusive-thermal instability and flame extinction in nonpremixed combustion
journal, January 1992
- Chen, Ruey-Hung; Mitchell, G. Bradley; Ronney, Paul D.
- Symposium (International) on Combustion, Vol. 24, Issue 1
Linear analysis of diffusional-thermal instability in diffusion flames with Lewis numbers close to unity
journal, January 1997
- Kim, J. S.
- Combustion Theory and Modelling, Vol. 1, Issue 1
Diffusional-thermal instability in strained diffusion flames with unequal Lewis numbers
journal, March 1999
- Kim, J. S.; Lee, S. R.
- Combustion Theory and Modelling, Vol. 3, Issue 1
Edge-flames and sublimit hydrogen combustion
journal, April 2001
- Short, M.; Buckmaster, J.; Kochevets, S.
- Combustion and Flame, Vol. 125, Issue 1-2
The effect of thermal expansion on diffusion flame instabilities
journal, March 2010
- Matalon, M.; Metzener, P.
- Journal of Fluid Mechanics, Vol. 647
The effect of stretch on cellular formation in non-premixed opposed-flow tubular flames
journal, May 2011
- Shopoff, S. W.; Wang, P.; Pitz, R. W.
- Combustion and Flame, Vol. 158, Issue 5
Experimental study of cellular instability and extinction of non-premixed opposed-flow tubular flames
journal, November 2011
- Shopoff, S. W.; Wang, P.; Pitz, R. W.
- Combustion and Flame, Vol. 158, Issue 11
The asymptotic structure of counterflow diffusion flames for large activation energies
journal, July 1974
- Liñán, Amable
- Acta Astronautica, Vol. 1, Issue 7-8
Numerical investigation of the curvature effects on diffusion flames
journal, January 2007
- Wang, Peiyong; Hu, Shengteng; Pitz, Robert W.
- Proceedings of the Combustion Institute, Vol. 31, Issue 1
Extinction and near-extinction instability of non-premixed tubular flames
journal, January 2009
- Hu, Shengteng; Pitz, Robert W.; Wang, Yu
- Combustion and Flame, Vol. 156, Issue 1
Structural study of non-premixed tubular hydrocarbon flames
journal, January 2009
- Hu, Shengteng; Pitz, Robert W.
- Combustion and Flame, Vol. 156, Issue 1
Cellular instabilities, sublimit structures and edge-flames in premixed counterflows
journal, March 1999
- Buckmaster, John D.; Short, Mark
- Combustion Theory and Modelling, Vol. 3, Issue 1
Quantitative atomic hydrogen measurements in premixed hydrogen tubular flames
journal, November 2014
- Hall, Carl A.; Kulatilaka, Waruna D.; Gord, James R.
- Combustion and Flame, Vol. 161, Issue 11
Minor-species structure of premixed cellular tubular flames
journal, January 2015
- Hall, Carl A.; Kulatilaka, Waruna D.; Jiang, Naibo
- Proceedings of the Combustion Institute, Vol. 35, Issue 1
Diffusive-thermal instability of premixed tubular flames
journal, September 2011
- Kurdyumov, Vadim N.
- Combustion and Flame, Vol. 158, Issue 9
A numerical study of transient ignition and flame characteristics of diluted hydrogen versus heated air in counterflow
journal, January 2009
- Yoo, Chun Sang; Chen, Jacqueline H.; Frank, Jonathan H.
- Combustion and Flame, Vol. 156, Issue 1
Stretch rate of tubular premixed flames
journal, April 2006
- Wang, Peiyong; Wehrmeyer, Joseph A.; Pitz, Robert W.
- Combustion and Flame, Vol. 145, Issue 1-2
Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations
journal, November 2000
- Kennedy, Christopher A.; Carpenter, Mark H.; Lewis, R. Michael
- Applied Numerical Mathematics, Vol. 35, Issue 3
Several new numerical methods for compressible shear-layer simulations
journal, June 1994
- Kennedy, Christopher A.; Carpenter, Mark H.
- Applied Numerical Mathematics, Vol. 14, Issue 4
Diffusive-thermal instabilities of diffusion flames: onset of cells and oscillations
journal, August 2006
- Metzener, Philippe; Matalon, Moshe
- Combustion Theory and Modelling, Vol. 10, Issue 4
Fine Structure of Scalar Fields Mixed by Turbulence. I. Zero-Gradient Points and Minimal Gradient Surfaces
journal, January 1968
- Gibson, Carl H.
- Physics of Fluids, Vol. 11, Issue 11
Structure and Propagation of Methanol–Air Triple Flames
journal, July 1998
- Echekki, Tarek; Chen, Jacqueline H.
- Combustion and Flame, Vol. 114, Issue 1-2
Structure and propagation of triple flames in partially premixed hydrogen–air mixtures
journal, December 1999
- Im, H. G.; Chen, J. H.
- Combustion and Flame, Vol. 119, Issue 4
Three-dimensional direct numerical simulation of a turbulent lifted hydrogen jet flame in heated coflow: flame stabilization and structure
journal, December 2009
- Yoo, C. S.; Sankaran, R.; Chen, J. H.
- Journal of Fluid Mechanics, Vol. 640
A DNS study on the stabilization mechanism of a turbulent lifted ethylene jet flame in highly-heated coflow
journal, January 2011
- Yoo, Chun Sang; Richardson, Edward S.; Sankaran, Ramanan
- Proceedings of the Combustion Institute, Vol. 33, Issue 1
Direct numerical simulations of ignition of a lean n-heptane/air mixture with temperature inhomogeneities at constant volume: Parametric study
journal, September 2011
- Yoo, Chun Sang; Lu, Tianfeng; Chen, Jacqueline H.
- Combustion and Flame, Vol. 158, Issue 9
A DNS study of ignition characteristics of a lean iso-octane/air mixture under HCCI and SACI conditions
journal, January 2013
- Yoo, Chun Sang; Luo, Zhaoyu; Lu, Tianfeng
- Proceedings of the Combustion Institute, Vol. 34, Issue 2
Direct numerical simulations of the ignition of lean primary reference fuel/air mixtures with temperature inhomogeneities
journal, October 2013
- Luong, Minh Bau; Luo, Zhaoyu; Lu, Tianfeng
- Combustion and Flame, Vol. 160, Issue 10
A DNS study of the ignition of lean PRF/air mixtures with temperature inhomogeneities under high pressure and intermediate temperature
journal, March 2015
- Kim, Seung Ook; Luong, Minh Bau; Chen, Jacqueline H.
- Combustion and Flame, Vol. 162, Issue 3
Works referencing / citing this record:
Numerical investigation of non-premixed and premixed rotational tubular flame: a study of flame structure and instability
journal, December 2019
- Bordbar, Mehdi; Motaghian, Shahrooz; Pasdarshahri, Hadi
- Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 42, Issue 1