Quadratic formula for determining the drop size in pressure-atomized sprays with and without swirl

Taewoo Lee, Keju An

Research output: Contribution to journalArticle

9 Scopus citations


We use a theoretical framework based on the integral form of the conservation equations, along with a heuristic model of the viscous dissipation, to find a closed-form solution to the liquid atomization problem. The energy balance for the spray renders to a quadratic formula for the drop size as a function, primarily of the liquid velocity. The Sauter mean diameter found using the quadratic formula shows good agreements and physical trends, when compared with experimental observations. This approach is shown to be applicable toward specifying initial drop size in computational fluid dynamics of spray flows.

Original languageEnglish (US)
Article number063302
JournalPhysics of Fluids
Issue number6
StatePublished - Jun 1 2016


ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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