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PreprintarXiv licencearXiv

Relative velocity between a particle and turbulence

  • Yutaro Motoori
  • Daiki Watanabe
  • Susumu Goto
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Abstract

The relative velocity between a particle and the surrounding fluid is a key quantity that determines the various phenomena of particle-laden turbulence, such as particle clustering and turbulence modulation due to particles. We theoretically derive the expression for the relative velocity of a particle laden in turbulence by extending the argument of Balachandar (2009). This derivation provides a simplified form of the analytical model of Berk and Coletti (2024), and it makes the underlying physical assumptions explicit. Using direct numerical simulation data of turbulence in a periodic cube and turbulent channel flow, we demonstrate the validity of the derived expression, and show that it also holds for non-spherical particles and droplets.

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Cite

BibTeXRIS
BibTeX
@misc{motoori2026relative,
  title = {{Relative velocity between a particle and turbulence}},
  author = {Yutaro Motoori and Daiki Watanabe and Susumu Goto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21406},
  eprint = {2609.21406},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21406},
}
RIS
TY  - UNPB
TI  - Relative velocity between a particle and turbulence
AU  - Yutaro Motoori
AU  - Daiki Watanabe
AU  - Susumu Goto
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21406
UR  - https://arxiv.org/abs/2609.21406
AB  - The relative velocity between a particle and the surrounding fluid is a key quantity that determines the various phenomena of particle-laden turbulence, such as particle clustering and turbulence modulation due to particles. We theoretically derive the expression for the relative velocity of a particle laden in turbulence by extending the argument of Balachandar (2009). This derivation provides a simplified form of the analytical model of Berk and Coletti (2024), and it makes the underlying physical assumptions explicit. Using direct numerical simulation data of turbulence in a periodic cube and turbulent channel flow, we demonstrate the validity of the derived expression, and show that it also holds for non-spherical particles and droplets.
ER  -