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Oil in the Sea IV Inputs, Fates, and Effects (2022) / Chapter Skim
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Appendix F: Technical Aspects of Equations and Models for Droplet Breakup in Turbulent Flows
Pages 463-466

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From page 463...
... 2/3. droplet breakup: turbulent pressure fluctuations on the scale If we solve Equation F.1 for Dmax and then divide by a of a droplet and that scale with the dissipation rate ε break characteristic length scale Lc describing a given flow field, up a droplet until these forces can be resisted by the droplet we obtain the general equation interfacial tension and viscosity.
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From page 464...
... They fit the power-law relationship to experimental data for oil slick F.2 APPLICATION OF TURBULENT BREAKUP FOR breakup under breaking waves and argue that these scaling MULTIPHASE JETS laws should be universal. The fit coefficient multiplying the The equations and parameterizations in the previous sec- Weber and Ohnesorge numbers for jet breakup of oil are fittion can be used to predict droplet sizes for different multi- ted to the field measurement from the DeepSpill experiment phase flows by relating the large-scale flow and turbulence only (Johansen et al., 2003)
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From page 465...
... A non-dimensional, universal calibrasion for turbulent eddy dissipation rate in single-phase jets to tion for Kb was not found; instead, the best-fit Kb depended adapt the VDROP population balance model to predict drop- on the initial dynamic momentum flux of the source. Zhao let evolution in subsea blowouts, yielding the jet-version of et al.
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Key Terms

  • dissipation rate
  • droplet sizes
  • length scale
  • stable droplet
  • droplet breakup

  • predict droplet
  • maximum stable
  • eddy dissipation
  • characteristic length
  • orifice diameter

  • characteristic droplet
  • turbulent flows
  • empirical equations
  • theoretical arguments
  • turbulent eddy

  • continuous phase
  • pressure fluctuations
  • fluid particle
  • particle size
  • size distribution

  • constant turbulent
  • fit coefficients
  • interfacial tension
  • turbulent jets
  • inertial subrange

  • turbulent conditions
  • population balance
  • scaling laws
  • sea surface
  • balance model


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