Dimensionality and morphology of particle and bubble clusters in turbulent flow

Enrico Calzavarini, Martin Kerscher, Detlef Lohse, Federico Toschi

Research output: Contribution to journalArticleAcademicpeer-review

92 Citations (Scopus)

Abstract

We conduct numerical experiments to investigate the spatial clustering of particles and bubbles in simulations of homogeneous and isotropic turbulence. On varying the Stokes parameter and the densities, striking differences in the clustering of the particles can be observed. To quantify these visual findings we use the Kaplan–Yorke dimension. This local scaling analysis shows a dimension of approximately 1.4 for the light bubble distribution, whereas the distribution of very heavy particles shows a dimension of approximately 2.6. However, clearly different parameter combinations yield the same dimensions. To overcome this degeneracy and to further develop the understanding of clustering, we perform a morphological (geometrical and topological) analysis of the particle distribution. For such an analysis, Minkowski functionals have been successfully employed in cosmology, in order to quantify the global geometry and topology of the large-scale distribution of galaxies. In the context of dispersed multiphase flow, these Minkowski functionals – being morphological order parameters – allow us to discern the filamentary structure of the light particle distribution from the wall-like distribution of heavy particles around empty interconnected tunnels. Movies are available with the online version of the paper.
Original languageEnglish
Pages (from-to)13-24
Number of pages12
JournalJournal of fluid mechanics
Volume607
DOIs
Publication statusPublished - 2008

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