Comparison and correction of the drop breakup models for stochastic dilute spray flow

Min Wook Lee, Jung Jae Park, Massoud Massoudi Farid, Sam S. Yoon

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Spray-gas interaction is common in many industrial applications that use a liquid jet injection system. Numerous liquid drops interact with the surrounding gas as they travel through the air. During such a travel, aerodynamic interaction between a drop and the surrounding gas flattens the drop and ultimately, breaks up the drop. The TAB (Taylor Analogy Breakup) model was proposed by O'Rourke and Amsden (1987) [6] for the KIVA spray code, but the use of this model has been controversial because the original paper that proposed this model has typographical errors. Another well-known drop breakup model, such as the DDB (Drop Deformation Breakup) model of Ibrahim et al. (1993) [8], has been widely used. However, although numerical solutions of the DDB model ostensibly make it appear superior to those of other previous breakup models, they contain errors that need to be amended. This paper aims to clarify the error controversies of both models; the typographical errors and the erroneous numerical solutions. The complete mathematical derivation of the TAB model is presented, and its correct numerical solutions are compared against the experimental data. We found that the TAB model was superior to other breakup models, such as Clark (1988) [7] and DDB.

Original languageEnglish
Pages (from-to)4512-4520
Number of pages9
JournalApplied Mathematical Modelling
Volume36
Issue number9
DOIs
Publication statusPublished - 2012 Sep

Keywords

  • Aerodynamic drag
  • Breakup model
  • Drop
  • Secondary atomization

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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