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

24 Citations (Scopus)


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
Issue number9
Publication statusPublished - 2012 Sept

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea Grant ( NRF-2010-0010217 and NRF-2011-013-D00017 ) and special grant by Korea University . This work was also supported by the Human Resources Development of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Ministry of Knowledge Economy, Republic of Korea (No. 20104010100640 ) and 2009-3021010030-11-1.


  • Aerodynamic drag
  • Breakup model
  • Drop
  • Secondary atomization

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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