Research Papers

On the Stability of Planar Premixed Flames Under Nonadiabatic Conditions and Preferential Diffusion

[+] Author and Article Information
Eman Al-Sarairah

Department of Mathematics,
Al-Hussein Bin Talal University,
Ma'an 33011, Jordan
e-mail: eman_sar@ahu.edu.jo

Bilal Al-Hasanat

Department of Mathematics,
Al-Hussein Bin Talal University,
Ma'an 33011, Jordan
e-mail: Bilal@ahu.edu.jo

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 30, 2016; final manuscript received October 23, 2016; published online April 11, 2017. Assoc. Editor: Ziad Saghir.

J. Thermal Sci. Eng. Appl 9(3), 031010 (Apr 11, 2017) (6 pages) Paper No: TSEA-16-1145; doi: 10.1115/1.4035938 History: Received May 30, 2016; Revised October 23, 2016

In this paper, we provide a numerical study of the stability analysis of a planar premixed flame. The interaction of preferential diffusion and heat loss for a planar premixed flame is investigated using a thermodiffusive (constant density) model. The flame is studied as a function of three nondimensional parameters, namely, Damköhler number (ratio of diffusion time to chemical time), Lewis number (ratio of thermal to species diffusivity), and heat loss. A maximum of four solutions are identified in some cases, two of which are stable. The behavior of the eigenvalues of the linearized system of stabilty is also discussed. For low Lewis number, the heat loss plays a major role in stabilizing the flame for some moderately high values of Damköhler number. The results show the effect of increasing or decreasing Lewis number on adiabatic and nonadiabatic flames temperature and reaction rate as well as the range of heat loss at which flames can survive.

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Grahic Jump Location
Fig. 2

Fuel concentration, temperature, and normalized reaction rate at δ = 25 and selected values of Le and κ: (a) Le = 0.4, κ = 0, (b) Le = 0.4, κ = 0.3, (c) Le = 1, κ = 0, (d) Le = 1, κ = 0.3, (e) Le = 2, κ = 0, and (f) Le = 2, κ = 0.3

Grahic Jump Location
Fig. 1

The maximum temperature θm is plotted against heat loss parameter κ with the stability boundaries marked: (a) stability of Le = 2, (b) stability of Le = 1.6, (c) stability of Le = 1, (d) stability of Le = 0.6, and (e) stability of Le = 0.4




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