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Atomization and Sprays
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ISSN Print: 1044-5110
ISSN Online: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.v4.i1.40
pages 79-97

ANALYSIS OF EVAPORATION AND COMBUSTION OF RANDOM CLUSTERS OF DROPLETS BY A MODIFIED METHOD OF EXPANSION INTO IRREDUCIBLE MULTIPOLES

Tov Elperin
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653 Beer Sheva 84105 Israel
Boris Krasovitov
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

ABSTRACT

Interaction between evaporating or burning droplets in random clusters of droplets of different sizes is analyzed using quasi-steady approximation. A method of solution of the Laplace equation in a region exterior to N arbitrarily located spheres of different radii is suggested. The method is based on the expansion of the solution into irreducible multi-poles. Results are presented in terms of a correction factor defined as the ratio of the burning rate of a droplet located inside a cluster of burning droplets to a single-droplet burning rate. The proposed method is validated by comparing the present results with those available in the literature. The method is applied to the analysis of droplet interactions in large random arrays of droplets of different sizes.


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