1998
DOI: 10.1063/1.869829
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Theory of attached and lifted diffusion flames

Abstract: Diffusion flame ͑DF͒ attachment and liftoff are examined, leading to ͑1͒ explanations of the origins of previous, successful empirical correlations; ͑2͒ the discovery of multiple lifting regimes. The latter includes a very slow flow regime, a slow-to-moderate flow regime, and a moderate-to-fast flow regime. Formulas for liftoff height ( l g ) and characteristic flame tip breadth ( l r ) are developed from a combination of the differential and integral form of the conservation equations. These formulas are comp… Show more

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Cited by 22 publications
(8 citation statements)
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References 23 publications
(51 reference statements)
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“…To elucidate flame stability mechanisms, the structure of the flame-stabilizing region must be known. Numerous studies of the structure and stability of laminar diffusion flames have been conducted in both normal earth gravity (1g) and microgravity (lg) [1][2][3][4][5][6][7][8][9][10][11][12]. Although several attempts [1][2][3] were made to reveal the internal structure of the flame-stabilizing region experimentally, most previous works were limited to overall flame characteristics.…”
Section: Introductionmentioning
confidence: 99%
“…To elucidate flame stability mechanisms, the structure of the flame-stabilizing region must be known. Numerous studies of the structure and stability of laminar diffusion flames have been conducted in both normal earth gravity (1g) and microgravity (lg) [1][2][3][4][5][6][7][8][9][10][11][12]. Although several attempts [1][2][3] were made to reveal the internal structure of the flame-stabilizing region experimentally, most previous works were limited to overall flame characteristics.…”
Section: Introductionmentioning
confidence: 99%
“…Since this is a difficult quantity to calculate, even for a quiescent gas in an idealized geometry , here the influences of streamwise convection are neglected and the quenching characteristics of the flame tip are calculated in the absence of these real effects. Such calculations have been performed previously by Wichman & Ramadan (1998), Wichman et al (1999) and Wichman (1999). For the flame leading edge (tip) characteristic length scale (figure 1), we have (4.13) where the dimensionless multiplicative constant is of order unity.…”
Section: (B) Microstructure Of a Spreading Diffusion Flamementioning
confidence: 99%
“…The latter varies most near ξ = −Δ (figures 5 and 6). In particular, the mixing of the reactants near the flame leading edge and in the quench layer should resemble the distribution described in Wichman & Ramadan (1998), where an onion-shaped intermeshing set of isochors indicated diffusive mixing. Without this mixing, the flame-tip structure, consisting of a 'terminated' gas-phase flame with its point of extremely high reactivity 5 located almost exactly at its termination point, would not be possible.…”
Section: (B) Microstructure Of a Spreading Diffusion Flamementioning
confidence: 99%
“…This radical flux is believed to increase the chemical reaction rates for important reaction steps near a stabilization point that is located in a small premixing zone. Wichman and Ramadan [6] state that, on the contrary, upstream radical transport is not a necessary condition, and that flame stabilization can result just due to the existence of a premixing zone of sufficient reactivity. Chung and Lee [7] offer two examples of nonpremixed flame stabilization.…”
Section: Introductionmentioning
confidence: 99%