Why drop size distributions in sprays fit the lognormal
Miguel R. Oliveira Panão
Abstract
Numerous drop size distributions in sprays fit the lognormal. This Letter explains the physical origin of this fitting as the exponential growth of drop size diversity. Consequently, the standard deviation of the natural logarithm of drop size acquires physical meaning. Insights retrieved from this explanation include a demonstration that drop size histograms fitted by a lognormal should use variable size classes, and the interpretation of the stochastic nature of spray characteristics acquires greater physical meaning.
Topics & Concepts
Log-normal distributionLogarithmDrop (telecommunication)PhysicsStatistical physicsStatisticsExponential functionMathematicsMathematical analysisComputer scienceTelecommunicationsFluid Dynamics and Heat TransferPlant Surface Properties and TreatmentsElectrohydrodynamics and Fluid Dynamics