Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Deviation-angle and trajectory statistics for inertial particles in turbulence
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Indian Institute of Science, India.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.ORCID iD: 0000-0001-6162-7112
Show others and affiliations
2016 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 94, no 6, article id 063112Article in journal (Refereed) Published
Abstract [en]

Small particles in suspension in a turbulent fluid have trajectories that do not follow the pathlines of the flow exactly. We investigate the statistics of the angle of deviation φ between the particle and fluid velocities. We show that, when the effects of particle inertia are small, the probability distribution function (PDF) Pφ of this deviation angle shows a power-law region in which Pφ∼φ-4. We also find that the PDFs of the trajectory curvature κ and modulus θ of the torsion have power-law tails that scale, respectively, as Pκ∼κ-5/2, as κ→∞, and Pθ∼θ-3, as θ→∞: These exponents are in agreement with those previously observed for fluid pathlines. We propose a way to measure the complexity of heavy-particle trajectories by the number NI(t,St) of points (up until time t) at which the torsion changes sign. We present numerical evidence that nI(St)≡limt→∞NI(t,St)t∼St-Δ for large St, with Δ≃0.5.

Place, publisher, year, edition, pages
American Physical Society, 2016. Vol. 94, no 6, article id 063112
Keywords [en]
Distribution functions, Particles (particulate matter), Probability density function, Probability distributions, Torsional stress, Trajectories, Angle of deviation, Deviation angles, Fluid velocities, Inertial particles, Numerical evidence, Particle inertia, Power-law region, Turbulent fluids
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-201165DOI: 10.1103/PhysRevE.94.063112ISI: 000396587000007Scopus ID: 2-s2.0-85007481699OAI: oai:DiVA.org:kth-201165DiVA, id: diva2:1073020
Note

QC 20170209

Available from: 2017-02-09 Created: 2017-02-09 Last updated: 2017-11-29Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Bhatnagar, AkshayMitra, Dhrubaditya
By organisation
Nordic Institute for Theoretical Physics NORDITA
In the same journal
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 57 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf