### Abstract

A rich data-set of Lagrangian trajectories from 3D particle tracking velocimetry is used to study the structure of various acceleration components, vorticity, and strain in the intermediate field of a circular jet at Reynolds number Re = 6000. The total acceleration is decomposed into three distinctive sets: (1) streamwise–radial; (2) tangential–normal; and (3) local–convective components. Probability density function (PDF) and joint distributions of each set are characterised at various radial locations from the jet core within a streamwise band 16 ≤ x/d_{h} ≤ 17, where d_{h} is the diameter of the pipe. The PDF of the relative angle between the acceleration components and the velocity vector is also included to aid the characterisation. Results show that the acceleration components are described by two distinctive distributions: one of them exhibits symmetry and heavy tails, while the other is best fitted by a power-law type. The tails of acceleration PDFs are heavier with larger radial distance from the core. The increased departure from the Gaussian distribution with the distance from the core is a result of the increasing turbulence levels promoted by the mean shear. The variation of the third and fourth moments between the streamwise–tangential and the radial–normal accelerations indicate the anisotropy of the jet. Joint PDF of each acceleration decomposition exhibits distinctive distribution that appears to depend from the distance from the jet core. However, the vorticity and strain show similar PDF across radial distances. Finally, complementary analysis of a jet from a semicircular pipe shows the footprint of the nozzle geometry in the acceleration structure of jets.

Original language | English (US) |
---|---|

Pages (from-to) | 87-102 |

Number of pages | 16 |

Journal | Journal of Turbulence |

Volume | 18 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2 2017 |

### Fingerprint

### Keywords

- Acceleration
- Lagrangian description
- circular jets
- particle tracking velocimetry
- turbulence

### ASJC Scopus subject areas

- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Physics and Astronomy(all)

### Cite this

*Journal of Turbulence*,

*18*(1), 87-102. https://doi.org/10.1080/14685248.2016.1256483

**Characterisation of the Eulerian and Lagrangian accelerations in the intermediate field of turbulent circular jets.** / Kim, J. T.; Liberzon, A.; Chamorro, L. P.

Research output: Contribution to journal › Article

*Journal of Turbulence*, vol. 18, no. 1, pp. 87-102. https://doi.org/10.1080/14685248.2016.1256483

}

TY - JOUR

T1 - Characterisation of the Eulerian and Lagrangian accelerations in the intermediate field of turbulent circular jets

AU - Kim, J. T.

AU - Liberzon, A.

AU - Chamorro, L. P.

PY - 2017/1/2

Y1 - 2017/1/2

N2 - A rich data-set of Lagrangian trajectories from 3D particle tracking velocimetry is used to study the structure of various acceleration components, vorticity, and strain in the intermediate field of a circular jet at Reynolds number Re = 6000. The total acceleration is decomposed into three distinctive sets: (1) streamwise–radial; (2) tangential–normal; and (3) local–convective components. Probability density function (PDF) and joint distributions of each set are characterised at various radial locations from the jet core within a streamwise band 16 ≤ x/dh ≤ 17, where dh is the diameter of the pipe. The PDF of the relative angle between the acceleration components and the velocity vector is also included to aid the characterisation. Results show that the acceleration components are described by two distinctive distributions: one of them exhibits symmetry and heavy tails, while the other is best fitted by a power-law type. The tails of acceleration PDFs are heavier with larger radial distance from the core. The increased departure from the Gaussian distribution with the distance from the core is a result of the increasing turbulence levels promoted by the mean shear. The variation of the third and fourth moments between the streamwise–tangential and the radial–normal accelerations indicate the anisotropy of the jet. Joint PDF of each acceleration decomposition exhibits distinctive distribution that appears to depend from the distance from the jet core. However, the vorticity and strain show similar PDF across radial distances. Finally, complementary analysis of a jet from a semicircular pipe shows the footprint of the nozzle geometry in the acceleration structure of jets.

AB - A rich data-set of Lagrangian trajectories from 3D particle tracking velocimetry is used to study the structure of various acceleration components, vorticity, and strain in the intermediate field of a circular jet at Reynolds number Re = 6000. The total acceleration is decomposed into three distinctive sets: (1) streamwise–radial; (2) tangential–normal; and (3) local–convective components. Probability density function (PDF) and joint distributions of each set are characterised at various radial locations from the jet core within a streamwise band 16 ≤ x/dh ≤ 17, where dh is the diameter of the pipe. The PDF of the relative angle between the acceleration components and the velocity vector is also included to aid the characterisation. Results show that the acceleration components are described by two distinctive distributions: one of them exhibits symmetry and heavy tails, while the other is best fitted by a power-law type. The tails of acceleration PDFs are heavier with larger radial distance from the core. The increased departure from the Gaussian distribution with the distance from the core is a result of the increasing turbulence levels promoted by the mean shear. The variation of the third and fourth moments between the streamwise–tangential and the radial–normal accelerations indicate the anisotropy of the jet. Joint PDF of each acceleration decomposition exhibits distinctive distribution that appears to depend from the distance from the jet core. However, the vorticity and strain show similar PDF across radial distances. Finally, complementary analysis of a jet from a semicircular pipe shows the footprint of the nozzle geometry in the acceleration structure of jets.

KW - Acceleration

KW - Lagrangian description

KW - circular jets

KW - particle tracking velocimetry

KW - turbulence

UR - http://www.scopus.com/inward/record.url?scp=84995388225&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995388225&partnerID=8YFLogxK

U2 - 10.1080/14685248.2016.1256483

DO - 10.1080/14685248.2016.1256483

M3 - Article

AN - SCOPUS:84995388225

VL - 18

SP - 87

EP - 102

JO - Journal of Turbulence

JF - Journal of Turbulence

SN - 1468-5248

IS - 1

ER -