Abstract
Theoretical approaches for characterizing sprays include the application of force balance (FB) and energybalance (EB) principles to a droplet separating from a liquid sheet. Although both methods are within the domain ofclassical fluid dynamics, their prediction equations for the droplet size (d) are quite different. The objective of this studywas to analytically compare the FB and EB methods for characterizing sprays. Revised equations for d were developedbased on the EB and FB principles. Droplets were assumed to separate (from a liquid sheet) radially while deceleratingunder the combined effect of viscosity, surface tension, and effective-drag (accounts for the combined effect of viscousdrag, air entrainment, and mutual interaction of droplets). Compatibility of the FB and EB equations requires a dropformation process to be completed at a radial distance ( .r from the liquid sheet breakup region) equal to d. Thisrequirement is automatically relaxed in the EB equation. The calculated effect of effective-drag (for .r = 0-25d) on dropvelocities was negligible for a water spray. Further analysis revealed that the previous FB equations represent a verylimited and special case of the revised equations.
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