Asymptotic Theory of Diffusion-Flame Extinction with Radiant Loss from the Flame Zone

Sohrab, Siavash H.; Liñán, A.; Williams, Forman A.

doi:10.1080/00102208208946983

Cited by 62 publications

(23 citation statements)

References 5 publications

(16 reference statements)

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“…An extensive review of radiative extinction of diffusion flame has recently been presented by T'ien and Bedir [5]. The first asymptotic analysis of the effect of radiation heat loss from the reaction zone on diffusion flame was perhaps conducted by Sohrab et al [6]. In their work, the extinction condition of diffusion flame in a stagnation-point boundary layer subject to radiation heat loss from the flame was obtained.…”

Section: Nomenclaturementioning

confidence: 99%

“…9 and 12 cannot be substituted into the left-hand side of the above equation since these solutions are not valid in the vicinity of the reaction zone due to the effect of radiation heat loss [6]. Insertion of outer temperature solutions to the left-hand side of Eq.…”

Section: Extinction Of Counterflow Diffusion Flamesmentioning

confidence: 99%

“…6. It has been shown by Sohrab et al [6] that the radiation heat loss term and the temperature can be approximated in terms of ⑀ r as…”

Section: Radiation-convection-diffusion Zonementioning

confidence: 99%

“…Following the analysis of Sohrab et al [6], the thickness of the radiation-convection-diffusion zone can be considered as O(⑀ r ) with…”

Section: Radiation-convection-diffusion Zonementioning

confidence: 99%

“…The boundary value problem defined by the above three equations has been solved by Liñán [1] who provided an excellent approximation for the reduced Damköhler number at extinction [1,6]…”

Section: Extinction Of Counterflow Diffusion Flamesmentioning

confidence: 99%

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Asymptotic analysis of radiative extinction in counterflow diffusion flames of nonunity Lewis numbers

Liu¹,

Smallwood²,

Gülder³

et al. 2000

Combustion and Flame

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Section: Nomenclaturementioning

confidence: 99%

Section: Extinction Of Counterflow Diffusion Flamesmentioning

confidence: 99%

“…6. It has been shown by Sohrab et al [6] that the radiation heat loss term and the temperature can be approximated in terms of ⑀ r as…”

Section: Radiation-convection-diffusion Zonementioning

confidence: 99%

“…Following the analysis of Sohrab et al [6], the thickness of the radiation-convection-diffusion zone can be considered as O(⑀ r ) with…”

Section: Radiation-convection-diffusion Zonementioning

confidence: 99%

Section: Extinction Of Counterflow Diffusion Flamesmentioning

confidence: 99%

See 3 more Smart Citations

Asymptotic analysis of radiative extinction in counterflow diffusion flames of nonunity Lewis numbers

Liu¹,

Smallwood²,

Gülder³

et al. 2000

Combustion and Flame

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CO₂‐Rich Combustion

Jayanti

2016

Handbook of Combustion

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The atmospheric concentration of CO 2 is only around 400 ppm, and is often neglected in combustion calculations. CO 2 ‐rich combustion arises in two important contexts, namely syngas combustion and exhaust gas recirculation. Syngas is produced through the gasification of coal, biomass, petroleum (pet) coke and other opportunity fuels, and may contain between 10% and 40% CO 2 by volume. The CO 2 content in exhaust gas from fossil fuel combustion varies in the range of 5% to 15% by volume (on a wet basis), the lower end occurring in gas turbines and the higher end in case of coal combustion. In power plants involving CO 2 capture using oxy‐fuel combustion, the concentration of CO 2 in the exhaust gas can be as high as 80–85%. When this is recirculated to moderate the flame temperature in oxy‐fuel combustion, the CO 2 concentration in the combustion environment can be in the range of 50–70%. The presence of CO 2 in significant quantities in the combustion environment can alter the characteristics of the flame, such as flame length, temperature and appearance, stability, extinction, and soot formation. These aspects are discussed in this chapter, with attention primarily focused on non‐premixed flames, which are industrially important.

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Qualitative analysis of thermal explosion of sodium droplet with variable thermophysical properties and thermal radiations

2020

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There are many coolants frequently used in the industry for controlling not only heat transfer, but also temperature distribution in a confined domain. However, little is known on the thermal properties of sodium droplets. The qualitative analysis of differential equations that model the thermal explosion, nonlinear dynamic of sodium droplet with variable thermophysical properties when thermal radiations are considered as suggested by Cogley et al, Sohrab et al, and P-1 approximation Sazhin et al is deliberated upon in this study. The governing equations, first-order nonlinear ordinary differential equations, are nondimensionalized using the appropriate similarity variables. The existence and uniqueness of the solutions, concavity, and convexity of the temperature distribution, and positivity nature of the solutions of the dimensionless governing equations are established. It is concluded that there exists a solution for a certain range of the admissible parameters and when the reduced activation energy is negative and temperature distribution fits concavity. More so, the major criteria to obtain a positive solution are outlined in this study. K E Y W O R D S concave, convex, existence and uniqueness, explosion, sodium droplet Recently, a comprehensive discussion on concave and convex functions was presented by Kythe. 24 Basic definition, example, and application of convex functions to mathematical programming had also been presented by Jeter. 25 In the same report, basic results concerning the optimization of convex functions, minimization and maximization of a convex function, are outlined. Sequel to the review of reports by Pinchover, 26 Feng et al, 27 Xing, 28 Ge and Xue, 29 and Baotong Cui et al, 30 positivity of the solution can be pointed out as major characteristics of any 1512 | ADEGBIE ET AL.

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Asymptotic Theory of Diffusion-Flame Extinction with Radiant Loss from the Flame Zone

Cited by 62 publications

References 5 publications

Asymptotic analysis of radiative extinction in counterflow diffusion flames of nonunity Lewis numbers

Asymptotic analysis of radiative extinction in counterflow diffusion flames of nonunity Lewis numbers

CO₂‐Rich Combustion

Qualitative analysis of thermal explosion of sodium droplet with variable thermophysical properties and thermal radiations

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Asymptotic Theory of Diffusion-Flame Extinction with Radiant Loss from the Flame Zone

Cited by 62 publications

References 5 publications

Asymptotic analysis of radiative extinction in counterflow diffusion flames of nonunity Lewis numbers

Asymptotic analysis of radiative extinction in counterflow diffusion flames of nonunity Lewis numbers

CO2‐Rich Combustion

Qualitative analysis of thermal explosion of sodium droplet with variable thermophysical properties and thermal radiations

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Product

Resources

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CO₂‐Rich Combustion