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Research Papers

Multiplicity of Premixed Flames Under the Effect of Heat Loss

[+] Author and Article Information
Eman Al-Sarairah

Department of Mathematics,
Al-Hussein Bin Talal University,
Ma'an, Jordan
e-mail: eman_sar@ahu.edu.jo

Chaouki Ghenai

Sustainable and Renewable Energy
Engineering Department,
University of Sharjah,
Sharjah, United Arab Emirates
e-mail: cghenai@sharjah.ac.ae

Ahmed Hachicha

Sustainable and Renewable Energy
Engineering Department,
University of Sharjah,
Sharjah, United Arab Emirates
e-mail: ahachicha@sharjah.ac.ae

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received May 10, 2016; final manuscript received September 17, 2016; published online March 21, 2017. Assoc. Editor: Ziad Saghir.

J. Thermal Sci. Eng. Appl 9(3), 031001 (Mar 21, 2017) (6 pages) Paper No: TSEA-16-1123; doi: 10.1115/1.4035922 History: Received May 10, 2016; Revised September 17, 2016

We investigate numerically the effect of heat loss and strain rate on the premixed flame edges encountered in a two-dimensional counterflow configuration for Lewis number higher than one. Under nonadiabatic conditions, multiple flame edges and multiple propagation speeds (positive and negative) are discussed. Different regions of multiple propagation speeds have been revealed ranging from two to four, depending on the value of the heat loss parameter and Damkohler number, which is inversely proportional to the strain rate. A combustion wave is modeled by connecting a strongly burning flame on one side of the burner to a weakly burning flame on the other side. These combustion waves are changing with increasing Dam number into flame edges with the fact that the strongly burning flame is the dominant.

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References

Daou, R. , Daou, J. , and Dold, J. , 2003, “ The Effect of Heat Loss on Flame-Edges in a Premixed Counterflow,” Combust. Theory Modell., 7(2), pp. 221–242. [CrossRef]
Thatcher, R. W. , and Al Sarairah, E. , 2007, “ Steady and Unsteady Flame Propagation in a Premixed Counterflow,” Combust. Theory Modell., 11(4), pp. 569–583. [CrossRef]
Daou, R., Daou, J., and Dold, J., 2004, “ The Effect of Heat Loss on Flame Edges in a Non-Premixed Counterflow Within a Thermo-Diffusive Model,” Combust. Theory Modell., 8(4), pp. 683–699. [CrossRef]
Buckmaster, J. , 1997, “ The Effects of Radiation on Stretched Flames,” Combust. Theory Modell., 1(1), pp. 1–11. [CrossRef]
Ju, Y. , Guo, H. , Maruta, K. , and Liu, F. , 1997, “ On the Extinction Limit and Flammability Limit of Non-Adiabatic Stretched Methane-Air Premixed Flames,” J. Fluid Mech., 342, pp. 315–334. [CrossRef]
Buckmaster, J. , 2002, “ Edge-Flames,” Prog. Energy Combust. Sci., 28(5), pp. 435–475. [CrossRef]
Thatcher, R. W. , and Omon, A. A. , 2005, “ Multiple Speeds of Flame Edge Propagation for Lewis Number Above One,” Combust. Theory Modell., 9(4), pp. 647–658. [CrossRef]
Ronney, P. D. , 2001, Premixed-Gas Flames in Microgravity Combustion, H. Ross , Ed., Academic Press, London, pp. 35–82.
Buckmaster, J. , and Short, M. , 1999, “ Cellular Instabilities, Sublimit Structures and Edge-Flames in Premixed Counterflows,” Combust. Theory Modell., 3(1), pp. 199–214. [CrossRef]
Kadowaki, S. , and Oshashi, H. , 2013, “ Shape and Fluctuation of Cellular Premixed Flames: Lean Combustion System of CH4/O2/CO2 Mixtures,” J. Visualization, 16(1), pp. 5–8. [CrossRef]
Thatcher, R. W. , and Dold, J. D. , 2000, “ Edges of Flames That Do Not Exist: Flame Edge Dynamics in a Non-Premixed Counterflow,” Combust. Theory Modell., 4(4), pp. 435–457. [CrossRef]
Thatcher, R. W. , Omon-Arancibia, A. , and Dold, J. W. , 2002, “ Oscillatory Flame Edge Propagation, Isolated Flame Tubes and Stability in a Non-Premixed Counterflow,” Combust. Theory Modell., 6(3), pp. 487–502. [CrossRef]

Figures

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Fig. 1

The counterflow configuration: (a) a two-dimensional flame edge and (b) a planar twin flames

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Fig. 2

The maximum temperature Tm against δ for different values of κ at Le=1.2

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Fig. 3

Numerical results for κ = 0.24 and Le=1.2: (a) stability boundaries for the one-dimensional flames and (b) propagation speed of flame edges versus Damkohler number

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Fig. 4

Numerical results for κ = 0.27 and Le=1.2: (a) stability boundaries for the one-dimensional flames and (b) propagation speed of flame edges versus Damkohler number

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Fig. 5

Temperature and reaction rate contours for Le=1.2, δ = 13.97, and κ = 0.27, the contours chosen are between 0 and the maximum value indicated in each subfigure for the maximum temperature represented by ||T|| and the maximum rate of reaction ||ω||: (a) temperature contours, (b) temperature contours, (c) reaction contours, and (d) reaction contours

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Fig. 6

Temperature and reaction rate contours for Le=1.2, δ = 16.7, and κ = 0.27, the contours chosen are between 0 and the maximum value indicated in each subfigure for the maximum temperature represented by ||T|| and the maximum rate of reaction ||ω||: (a) temperature contours, (b) reaction contours, (c) temperature contours, (d) reaction contours, (e) temperature contours, and (f) reaction rate contours

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Fig. 7

Propagation speed of combustion waves versus Damkohler number for κ = 0.27 and Le=1.2

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Fig. 8

Temperature, fuel concentration, and normalized rate of reaction profiles at δ = 16.7, κ = 0.27, and Le=1.2: (a) strongly burning solution and (b) weakly burning solution

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Fig. 9

Temperature and reaction rate contours for Le=1.2, δ = 16.7, and κ  = 0.27

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Fig. 10

Temperature contours showing the development of the combustion wave at δ = 22, κ = 0.27, and Le=1.2 into a flame edge at δ = 23 with time: (a) temperature contours and (b) reaction contours

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Fig. 11

Temperature, reaction rate contours, and an image of the flame edge at δ = 30, κ = 0.27, and Le=1.2: (a) temperature contours, (b) reaction contours, and (c) image of the flame edge temperature

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