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Statistics of relative velocity for particles settling under gravity in a turbulent flow
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2020 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 101, no 3, article id 033102Article in journal (Refereed) Published
Abstract [en]

We study the joint probability distributions of separation R and radial component of the relative velocity V-R of particles settling under gravity in a turbulent flow. We also obtain the moments of these distributions and analyze their anisotropy using spherical harmonics. We find that the qualitative nature of the joint distributions remains the same as no-gravity case. Distributions of V-R for fixed values of R show a power-law dependence on V-R for a range of V-R; the exponent of the power law depends on the gravity. Effects of gravity are also manifested in the following ways: (a) Moments of the distributions are anisotropic; degree of anisotropy depends on particle's Stokes number, but does not depend on R for small values of R. (b) Mean velocity of collision between two particles is decreased for particles having equal Stokes numbers but increased for particles having different Stokes numbers. For the later, collision velocity is set by the difference in their settling velocities.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2020. Vol. 101, no 3, article id 033102
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-271274DOI: 10.1103/PhysRevE.101.033102ISI: 000517411400008Scopus ID: 2-s2.0-85082801813OAI: oai:DiVA.org:kth-271274DiVA, id: diva2:1420903
Note

QC 20200401

Available from: 2020-04-01 Created: 2020-04-01 Last updated: 2020-05-25Bibliographically approved

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