title: Effect of the energy-spectrum law on clustering patterns for inertial particles subjected to gravity in kinematic simulation.
abstract: We study the clustering of inertial particles using a periodic kinematic simulation. Particle clustering is observed for different pairs of Stokes number and Froude number and different spectral power laws (1.4≤p≤2.1). The main focus is to identify and then quantify the effect of p on the clustering attractor-by attractor we mean the set of points in the physical space where the particles settle when time tends to infinity. It is observed that spectral power laws can have a dramatic effect on the attractor shape. In particular, we observed an attractor type which was not present in previous studies for Kolmogorov spectra (p=5/3).
authors.affiliation: Sheffield Fluid Mechanics Group, Department of Mechanical Engineering, The University of Sheffield, Sheffield, United Kingdom and Sorbonne Universités, Université Pierre et Marie Curie, Paris 6 and Institut Jean le Rond dAlembert, CNRS UMR 7190, Paris, France.
authors.forename: F C G A
authors.initials: FC
authors.lastname: Nicolleau
authors.affiliation: Department of Mechanical Engineering of the University of Engineering and Technology Lahore, Pakistan and Sheffield Fluid Mechanics Group, Department of Mechanical Engineering, The University of Sheffield, Sheffield, United Kingdom.
authors.forename: M
authors.initials: M
authors.lastname: Farhan
authors.affiliation: Sheffield Fluid Mechanics Group, Department of Mechanical Engineering, The University of Sheffield, Sheffield, United Kingdom.
authors.forename: A F
authors.initials: AF
authors.lastname: Nowakowski