Calculation of the Burning Rates of Interacting Fuel Droplets†

Labowsky, M.

doi:10.1080/00102208008952385

Cited by 152 publications

(44 citation statements)

References 10 publications

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“…The sectional Damkohler numbers are based on 2 law, which was confirmed by previous studies [21] to predict the actual vaporization history of an interacting droplet, especially in the initial period of combustion.…”

Section: Governing Equationssupporting

confidence: 48%

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

Kats

Greenberg

2016

Journal of Combustion

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A mathematical analysis of laminar premixed spray flame propagation with heat loss is presented. The analysis makes use of a distributed approximation of the Arrhenius exponential term in the reaction rate expression and leads to an implicit expression for the laminar burning velocity dependent on the spray-related parameters for the fuel, gas-related parameters and the intensity of the heat losses. It is shown that the initial droplet load, the value of the evaporation coefficient, and the initial size distribution are the spray-related parameters which exert an influence on the onset of extinction. The combination of these parameters governs the manner in which the spray heat loss is distributed spatially and it is this feature that is the main factor, when taken together with volumetric heat loss, which determines the spray's impact on flame propagation and extinction.

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Section: Governing Equationssupporting

confidence: 48%

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

Kats

Greenberg

2016

Journal of Combustion

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“…They quantified the reduction in the burning rate when droplets approach each other almost to come into contact. Labowsky [11] and Marberry et al [12] used the point sources method to determine the burning rates of stagnant droplets in finite arrays containing up to eight symmetrically arranged monodisperse droplets. Later, the effect of droplet motion was taken into account by Chiang and Sirignano [13,14] who performed a comprehensive numerical study of two and three evaporating droplets moving together.…”

Section: Introductionmentioning

confidence: 99%

Monodisperse droplet heating and evaporation: Experimental study and modelling

Maqua

Castanet

Grisch

et al. 2008

International Journal of Heat and Mass Transfer

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Results of experimental studies and the modelling of heating and evaporation of monodisperse ethanol and acetone droplets in two regimes are presented. Firstly, pure heating and evaporation of droplets in a flow of air of prescribed temperature are considered. Secondly, droplet heating and evaporation in a flame produced by previously injected combusting droplets are studied. The phase Doppler anemometry technique is used for droplet velocity and size measurements. Two-colour laser induced fluorescence thermometry is used to estimate droplet temperatures. The experiments have been performed for various distances between droplets and various initial droplet radii and velocities. The experimental data have been compared with the results of modelling, based on given gas temperatures, measured by coherent anti-stokes Raman spectroscopy, and Nusselt and Sherwood numbers calculated using measured values of droplet relative velocities. When estimating the latter numbers the finite distance between droplets was taken into account. The model is based on the assumption that droplets are spherically symmetrical, but takes into account the radial distribution of temperature inside droplets. It is pointed out that for relatively small droplets (initial radii about 65 lm) the experimentally measured droplet temperatures are close to the predicted average droplet temperatures, while for larger droplets (initial radii about 120 lm) the experimentally measured droplet temperatures are close to the temperatures predicted at the centre of the droplets.

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“…To investigate the basic mechanisms of these interactions, the combustion of two droplets and droplet arrays has been studied experimentally [1][2][3] and theoretically [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Interactive combustion of two-dimensionally arranged quasi-droplet clusters under microgravity

Nagata

Kudo

Ito

et al. 2002

Combustion and Flame

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To investigate the mutual interactions between droplets in the spray combustion, combustion of 2-dimensionally arranged quasi-droplet clusters is studied under microgravity. Quasi-droplet samples, which are solid in room temperature and change into liquid just after the ignition, consist of alcohol (propanol, butanol, pentanol, or hexanol) and polyethylene glycol with a volumetric ratio of 2:1. Seven samples sustained by glass rods form a 2-dimensional quasi-droplet cluster. Electrically heated nichrome wires ignite all samples in the cluster simultaneously. Single envelope flames that surround the clusters appeared. The results show that the sample spacing has a strong effect on the shape and movement of the flame. Sample clusters with large sample spacings come to the external group combustion through the scavenging combustion mode, whereas the small spacing clusters start directly with the external group combustion. At large sample spacings, the distance from the edge of the sample cluster to the flame (flame distance) increases to a maximum value and then decreases with time. The period of flame growth is prolonged with decreasing sample spacing and finally, at a small enough sample spacing, the flame distance keeps increasing until the flame disappears. This flame movement is attributed to the fuel vapor accumulation effect, which becomes more dominant with decreasing sample spacing. The burning lifetime decreases monotonically and approaches the value of the single flame with increasing sample spacing. The flame distance decreases monotonically and approaches the single flame radius with increasing sample spacing also. These results render important confirmations of the external group combustion phenomena and prove the importance of the two kinds of unsteadiness, i.e., the scavenging combustion with large droplet interval and the fuel vapor accumulation effect with small droplet interval, in group combustion.-3-

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Calculation of the Burning Rates of Interacting Fuel Droplets†

Cited by 152 publications

References 10 publications

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

On Laminar Rich Premixed Polydisperse Spray Flame Propagation with Heat Loss

Monodisperse droplet heating and evaporation: Experimental study and modelling

Interactive combustion of two-dimensionally arranged quasi-droplet clusters under microgravity

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