PDF-PBE for particle dispersion in a turbulent round jet

Fatemeh Salehi, Matthew J. Cleary, Assaad R. Masri, Andreas Kronenburg

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review


The probability density function form of the population balance equation (PDF-PBE) is employed in the large eddy simulation context to simulate the dispersion of droplets in a round turbulent jet. Test cases studied here include the injection of 60 and 90 μm droplets into a turbulent air jet with Re of 20,000 and 30,000. A newly developed Stokes binning method is used to account for the differential inertia of droplets of different sizes and to partition the PDF-PBE into classes based on the droplet Stokes numbers. The method leads to accurate modelling of the different trajectories that are followed by particles with different sizes in a computational tractable manner. A Langevin model is employed to reconstruct the subgrid scales in the carrier flows. The PDF-PBE model reproduces the radial dispersion and the mean droplet velocity fields very well. It is found that the direct effects of the subgrid scales on the dispersion of 60 and 90 μm droplets are insignificant in the present flow cases.
Original languageEnglish
Title of host publication11th Asia-Pacific Conference on Combustion
Subtitle of host publicationproceedings
Place of PublicationSydney
PublisherThe Combustion Institute Australian and New Zealand Section
Number of pages4
Publication statusPublished - 2017
Externally publishedYes
EventAsia-Pacific Conference on Combustion (11th : 2017) - Sydney, Australia
Duration: 10 Dec 201714 Dec 2018
Conference number: 11th


ConferenceAsia-Pacific Conference on Combustion (11th : 2017)
Abbreviated titleASPACC 2017

Bibliographical note

Presentation 255, proceedings published in USB.


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