RELATION BETWEEN GROUP COMBUSTION AND DROP ARRAY STUDIES
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Spray combustion modeling requires a knowledge of the strength of the mass and heat sources for each drop in the spray. Since sprays involve a large number of drops, interactive transport processes must be accounted for in estimating the source strengths of the drops. Earlier approaches (called array studies) considered a finite number of drops (2 to 9), and accounted for the three dimensional variation of temperature and species mass fraction profiles in order to determine an evaporation/combustion correction factor. This correction factor is defined as the ratio of the average strength of each drop in the array to the strength of the drop if it is kept in an isolated environment. The current approach utilizes group combustion theory which involves a large number of drops, assumes top hat profiles in the interstitial space between the drops, and accounts for their variation in the radial direction. The correction factor is again determined. This paper reports the results of the current group combustion approach and compares these results with those from array studies when the group combustion approach is extended to an array consisting of as few as 2 to 9 drops. The change in transport rate due to proximity of other drops is accounted for in the present group combustion approach. An unexpected result is the close agreement of the results obtained from group combustion approach with those results from array studies. A simple algebraic expression is given for the correction factor in terms of l a ratio and total number of drops for a 2 to 9 drop array. 1990.
