WIAS Preprint No. 1590, (2011)

Measurement and simulation of a droplet population in a turbulent flow field


  • Bordás, Robert
  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Schmeyer, Ellen
  • Thévenin, Dominique

2010 Mathematics Subject Classification

  • 76F65 76T10


  • two-phase turbulent flow, disperse droplet population, non-intrusive measurements, population blance systems, variational multiscale method




The interaction of a disperse droplet population (spray) in a turbulent flow field is studied by combining wind tunnel experiments with simulations based on the model of a population balance system. The behavior of the droplets is modeled numerically by a population balance equation. Velocities of the air and of the droplets are determined by non-intrusive measurements. A direct discretization of the 4D equation for the droplet size distribution is used in the simulations. Important components of the numerical algorithm are a variational multiscale method for turbulence modeling, an upwind scheme for the 4D equation and a pre-processing approach to evaluate the aggretation integrals. The simulations of this system accurately predict the modifications of the droplet size distribution from the inlet to the outlet of the measurement section. Since the employed configuration is simple and considering that all measurement data are freely available thanks to an Internet-based repository, the considered experiment is proposed as a benchmark problem for the simulation of disperse two-phase turbulent flows.

Appeared in

  • Comput. Fluids, 66 (2012) pp. 52--62.

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