English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Spatial clustering of polydisperse inertial particles in turbulence: I. Comparing simulation with theory

Saw, E. W., Salazar, J., Collins, L. R., & Shaw, R. A. (2012). Spatial clustering of polydisperse inertial particles in turbulence: I. Comparing simulation with theory. New Journal of Physics, 14(10), 105030-105048. doi:10.1088/1367-2630/14/10/105030.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-2690-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-2691-5
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Saw, E. W.1, Author              
Salazar, J., Author
Collins, L. R., Author
Shaw, R. A., Author
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

Content

show
hide
Free keywords: -
 Abstract: Particles that are heavy compared to the fluid in which they are embedded (inertial particles) tend to cluster in turbulent flow, with the degree of clustering depending on the particle Stokes number. The phenomenon is relevant to a variety of systems, including atmospheric clouds; in most realistic systems particles have a continuous distribution of sizes and therefore the clustering of ‘polydisperse’ particle populations is of special relevance. In this work a theoretical expression for the radial distribution function (RDF) for mono- and bidisperse inertial particles in the low Stokes number limit (Chun et al 2005 J. Fluid Mech. 536 219–51) is compared with the results of a direct numerical simulation of particle-laden turbulence. The results confirm the power-law form of the RDF for monodisperse particles with St ≲ 0.3. The clustering signature occurs at scales ≲10–30 times the Kolmogorov scale, consistent with a dissipation-scale mechanism. The theory correctly predicts the decorrelation scale below which bidisperse particles cease to cluster because of their distinct inertial response. A ‘saturation’ effect was observed, however, in which the power-law exponent is limited by the least clustered particle population. An expression is presented with which a polydisperse RDF can be obtained from the mono- and bidisperse RDFs and the particle size distribution. The DNS data clearly show that the effect of polydispersity is to diminish clustering, and place a bound on the level of polydispersity required to approximate a monodisperse system; this result is of relevance to experimental studies and realistic systems.

Details

show
hide
Language(s): eng - English
 Dates: 2012-10-30
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1088/1367-2630/14/10/105030
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: New Journal of Physics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 14 (10) Sequence Number: - Start / End Page: 105030 - 105048 Identifier: -