Advanced search
Publication Cover
Combustion Science and Technology Volume 86, 1992 - Issue 1-6
Submit an article Journal homepage
196
Views
46
CrossRef citations to date
0
Altmetric
Original Articles

Numerical Study of Thermal-Diffusive Instability of Premixed Flames

BRUNO DENET Laboratoire de Recherche en Combustion, Université de Provence/CNRS, Centre de Saint Jérôme (S 252), Marseille Cedex 13, 13397, France
&
PIERRE HALDENWANG Laboratoire de Recherche en Combustion, Université de Provence/CNRS, Centre de Saint Jérôme (S 252), Marseille Cedex 13, 13397, France
Pages 199-221 | Received 28 Feb 1991, Accepted 17 Oct 1991, Published online: 20 Jan 2011

Citations (46)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

R. Fursenko & S. Minaev. (2011) Flame balls dynamics in divergent channel. Combustion Theory and Modelling 15:6, pages 817-825.
Read now
G. J. Sharpe & S.A. E. G. Falle. (2006) Nonlinear cellular instabilities of planar premixed flames: numerical simulations of the Reactive Navier–Stokes equations. Combustion Theory and Modelling 10:3, pages 483-514.
Read now
G J Sharpe. (2003) Linear stability of planar premixed flames: Reactive Navier–Stokes equations with finite activation energy and arbitrary Lewis number. Combustion Theory and Modelling 7:1, pages 45-65.
Read now
D G Lasseigne, T L Jackson & L Jameson. (1999) Stability of freely propagating flames revisited. Combustion Theory and Modelling 3:4, pages 591-611.
Read now
B. DENET & P. HALDENWANG. (1995) A Numerical Study of Premixed Flames Darrieus-Landau Instability. Combustion Science and Technology 104:1-3, pages 143-167.
Read now
S. DENET & J.-L. BONINO. (1994) Laminar Premixed Flame Dynamics: A Comparison of Model and Complete Equations. Combustion Science and Technology 99:4-6, pages 235-252.
Read now
I. Brailovsky & G. Sivashinsky. (1993) On Quenching of the Reaction Wave Moving Through Spatially Periodic Shear Flow. Combustion Science and Technology 95:1-6, pages 51-60.
Read now
BRUNO DENET. (1993) On Non-Linear Instabilities of Cellular Premixed Flames. Combustion Science and Technology 92:1-3, pages 123-144.
Read now

Articles from other publishers (38)

Joel Daou, Aiden Kelly & Julien Landel. (2023) Flame stability under flow-induced anisotropic diffusion and heat loss. Combustion and Flame 248, pages 112588.
Crossref
Pierre Boivin, Marc Le Boursicaud, Alejandro Millán-Merino, Said Taileb, Josué Melguizo-Gavilanes & Forman Williams. 2023. Hydrogen for Future Thermal Engines. Hydrogen for Future Thermal Engines 161 236 .
Keigo Wada. (2021) Effect of small heat release and viscosity on thermal-diffusive instability. Scientific Reports 11:1.
Crossref
Sadegh Sadeghi & Mehdi Bidabadi. (2021) Mathematical study of threshold of thermal-diffusive instability in counter-flow non-premixed biomass-fueled flames considering effective parameters. Computers & Mathematics with Applications 81, pages 602-617.
Crossref
M. Tayyab, S. Zhao, Y. Feng & P. Boivin. (2020) Hybrid regularized Lattice-Boltzmann modelling of premixed and non-premixed combustion processes. Combustion and Flame 211, pages 173-184.
Crossref
Rachele Lamioni, Pasquale Eduardo Lapenna, Guido Troiani & Francesco Creta. (2018) Flame Induced Flow Features in the Presence of Darrieus-Landau Instability. Flow, Turbulence and Combustion 101:4, pages 1137-1155.
Crossref
Thwe Thwe Aung, Satoshi KADOWAKI & Ryutaro HINO. (2018) Numerical investigation on unstable behaviors of cellular premixed flames at low Lewis numbers based on the diffusive-thermal model and compressible Navier-Stokes equations. Journal of Thermal Science and Technology 13:2, pages JTST0034-JTST0034.
Crossref
Hossein Azizi, Sebastian Gurevich & Nikolas Provatas. (2017) Analysis of thermodiffusive cellular instabilities in continuum combustion fronts. Physical Review E 95:1.
Crossref
Antonio L. Sánchez & Forman A. Williams. (2014) Recent advances in understanding of flammability characteristics of hydrogen. Progress in Energy and Combustion Science 41, pages 1-55.
Crossref
Tasnim Fatima, Ekeoma Ijioma, Toshiyuki Ogawa & Adrian Muntean. (2014) Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers. Networks & Heterogeneous Media 9:4, pages 709-737.
Crossref
Satoshi KADOWAKI, Takuya OSHIMA & Hideaki KOBAYASHI. (2013) Numerical Study on the Intrinsic Instability of High-Temperature Premixed Flames under the Conditions of Constant Density and Constant Pressure in the Unburned Gas. Journal of Fluid Science and Technology 8:3, pages 233-246.
Crossref
Roman Fursenko, Sergey Minaev, Hisashi Nakamura, Takuya Tezuka, Susumu Hasegawa, Koichi Takase, Xing Li, Masato Katsuta, Masao Kikuchi & Kaoru Maruta. (2013) Cellular and sporadic flame regimes of low-Lewis-number stretched premixed flames. Proceedings of the Combustion Institute 34:1, pages 981-988.
Crossref
C. Altantzis, C. E. Frouzakis, A. G. Tomboulides, M. Matalon & K. Boulouchos. (2012) Hydrodynamic and thermodiffusive instability effects on the evolution of laminar planar lean premixed hydrogen flames. Journal of Fluid Mechanics 700, pages 329-361.
Crossref
C. Altantzis, C.E. Frouzakis, A.G. Tomboulides, S.G. Kerkemeier & K. Boulouchos. (2011) Detailed numerical simulations of intrinsically unstable two-dimensional planar lean premixed hydrogen/air flames. Proceedings of the Combustion Institute 33:1, pages 1261-1268.
Crossref
Satoshi Kadowaki, Hidekazu Takahashi & Hideaki Kobayashi. (2011) The effects of radiation on the dynamic behavior of cellular premixed flames generated by intrinsic instability. Proceedings of the Combustion Institute 33:1, pages 1153-1162.
Crossref
Amornrat KAEWPRADAP & Satoshi KADOWAKI. (2010) Intrinsic Instability of Premixed Flames at Sufficiently Low Activation Energy. TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, AEROSPACE TECHNOLOGY JAPAN 8:0, pages 15-21.
Crossref
Joseph F. Grcar. (2009) A new type of steady and stable, laminar, premixed flame in ultra-lean, hydrogen–air combustion. Proceedings of the Combustion Institute 32:1, pages 1011-1018.
Crossref
Adam M. Steinberg, James F. Driscoll & Steven L. Ceccio. (2008) Measurements of turbulent premixed flame dynamics using cinema stereoscopic PIV. Experiments in Fluids 44:6, pages 985-999.
Crossref
Jiao Yuan, Yiguang Ju & Chung K. Law. (2006) Pulsating and hydrodynamic instabilities at large Lewis numbers. Combustion and Flame 144:1-2, pages 386-397.
Crossref
Satoshi Kadowaki. (2005) The effects of heat loss on the burning velocity of cellular premixed flames generated by hydrodynamic and diffusive-thermal instabilities. Combustion and Flame 143:3, pages 174-182.
Crossref
Jiao Yuan, Yiguang Ju & Chung K. Law. (2005) Coupled hydrodynamic and diffusional-thermal instabilities in flame propagation at subunity Lewis numbers. Physics of Fluids 17:7.
Crossref
Satoshi Kadowaki, Hiroshi Suzuki & Hideaki Kobayashi. (2005) The unstable behavior of cellular premixed flames induced by intrinsic instability. Proceedings of the Combustion Institute 30:1, pages 169-176.
Crossref
A.N. Lipatnikov & J. Chomiak. (2005) Molecular transport effects on turbulent flame propagation and structure. Progress in Energy and Combustion Science 31:1, pages 1-73.
Crossref
Pierre Haldenwang & Didier Pignol. (2002) Dynamically adapted mesh refinement for combustion front tracking. Computers & Fluids 31:4-7, pages 589-606.
Crossref
G. Chiavassa, M. Guichaoua & J. Liandrat. (2002) Two adaptive wavelet algorithms for non-linear parabolic partial differential equations. Computers & Fluids 31:4-7, pages 467-480.
Crossref
Satoshi Kadowaki & Shin-ichirow Goma. 2001. Computational Fluid Dynamics 2000. Computational Fluid Dynamics 2000 201 206 .
Satoshi Kadowaki. (2000) Numerical study on the formation of cellular premixed flames at high Lewis numbers. Physics of Fluids 12:9, pages 2352-2359.
Crossref
Satoshi Kadowaki. (1999) The lateral movement of the three-dimensional cellular flame at low Lewis numbers. International Journal of Heat and Fluid Flow 20:6, pages 649-656.
Crossref
Satoshi Kadowaki. (1999) The influence of hydrodynamic instability on the structure of cellular flames. Physics of Fluids 11:11, pages 3426-3433.
Crossref
Jochen Fröhlich & Jens Lang. (1998) Two-dimensional cascadic finite element computations of combustion problems. Computer Methods in Applied Mechanics and Engineering 158:3-4, pages 255-267.
Crossref
Satoshi Kadowaki. 1998. Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Sixteenth International Conference on Numerical Methods in Fluid Dynamics 494 499 .
Satoshi Kadowaki. (1997) Numerical study on lateral movements of cellular flames. Physical Review E 56:3, pages 2966-2971.
Crossref
L. Kagan & G. Sivashinsky. (1997) Self-fragmentation of nonadiabatic cellular flames. Combustion and Flame 108:1-2, pages 220-226.
Crossref
Jochen Fröhlich & Kai Schneider. (1997) An Adaptive Wavelet–Vaguelette Algorithm for the Solution of PDEs. Journal of Computational Physics 130:2, pages 174-190.
Crossref
Satoshi Kadowaki. (1996) Numerical study on the instability of premixed plane flames in the three-dimensional field. International Journal of Heat and Fluid Flow 17:6, pages 557-566.
Crossref
. (1997) The dynamics and stability of cubic autocatalytic chemical waves in three-dimensional systems. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 452:1945, pages 391-419.
Crossref
L�o Glangetas & Jean -Michel Roquejoffre. (1996) Bifurcations of travelling waves in the thermo-diffusive model for flame propagation. Archive for Rational Mechanics and Analysis 134:4, pages 341-402.
Crossref
Leland Jameson, T. L. Jackson & D. Glenn Lasseigne. 1995. Modeling in Combustion Science. Modeling in Combustion Science 221 226 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.