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Measurements of the single-point and joint turbulence statistics of high subsonic jets using hot-wire anemometry

Measurements of the single-point and joint turbulence statistics of high subsonic jets using hot-wire anemometry
Measurements of the single-point and joint turbulence statistics of high subsonic jets using hot-wire anemometry

This paper describes a systematic and comprehensive hot-wire investigation into the turbulent statistics of low-, moderate- and high-speed subsonic jets. Experiments were performed to obtain the one-point and two-point statistics of a single-stream, unheated jet turbulence field over a broad region of the jet plume. Results show that hot-wires can be used to measure both the one-point and two-point statistics of the high turbulence intensity, noise-producing regions of unheated, compressible, subsonic jets. For the two-point measurements, probe pairings are performed over the three orthogonal axes. Analysis of the experimental data reveals four main conclusions: (1) both the statistical and joint moments of the turbulence scale well with the local jet shear layer half-width; (2) a simple relationship exists between the statistics of the velocity fluctuations and the square of the velocity fluctuations; (3) a simple relationship exists between the longitudinal and transverse length-scales, and (4) a semi-empirical model has been developed to predict the cross-correlation coefficients, power spectral density, frequency-dependent length-scales and coherence decay of the turbulent velocity field. From the second and third conclusions, it is shown that, in the locations near an eddy’s centre of rotation (i.e. the midpoint of the jet shear layer), the turbulence statistics can be described as quasi-homogeneous and quasi-frozen. The joint statistical moments, therefore, can be inferred simply from single-point tests. These results will help to develop models for predicting jet mixing noise, highlighting the situations in which the simplifying assumptions are inadequate. Graphical abstract: [Figure not available: see fulltext.].

0723-4864
1-17
Proença, Anderson
575c4921-cf19-4301-bc7a-70a4432ea0df
Lawrence, Jack
59a5a96a-8824-4bae-a22a-739ad4ce9144
Self, Rod
8b96166d-fc06-48e7-8c76-ebb3874b0ef7
Proença, Anderson
575c4921-cf19-4301-bc7a-70a4432ea0df
Lawrence, Jack
59a5a96a-8824-4bae-a22a-739ad4ce9144
Self, Rod
8b96166d-fc06-48e7-8c76-ebb3874b0ef7

Proença, Anderson, Lawrence, Jack and Self, Rod (2019) Measurements of the single-point and joint turbulence statistics of high subsonic jets using hot-wire anemometry. Experiments in Fluids, 60 (4), 1-17, [63]. (doi:10.1007/s00348-019-2716-3).

Record type: Article

Abstract

This paper describes a systematic and comprehensive hot-wire investigation into the turbulent statistics of low-, moderate- and high-speed subsonic jets. Experiments were performed to obtain the one-point and two-point statistics of a single-stream, unheated jet turbulence field over a broad region of the jet plume. Results show that hot-wires can be used to measure both the one-point and two-point statistics of the high turbulence intensity, noise-producing regions of unheated, compressible, subsonic jets. For the two-point measurements, probe pairings are performed over the three orthogonal axes. Analysis of the experimental data reveals four main conclusions: (1) both the statistical and joint moments of the turbulence scale well with the local jet shear layer half-width; (2) a simple relationship exists between the statistics of the velocity fluctuations and the square of the velocity fluctuations; (3) a simple relationship exists between the longitudinal and transverse length-scales, and (4) a semi-empirical model has been developed to predict the cross-correlation coefficients, power spectral density, frequency-dependent length-scales and coherence decay of the turbulent velocity field. From the second and third conclusions, it is shown that, in the locations near an eddy’s centre of rotation (i.e. the midpoint of the jet shear layer), the turbulence statistics can be described as quasi-homogeneous and quasi-frozen. The joint statistical moments, therefore, can be inferred simply from single-point tests. These results will help to develop models for predicting jet mixing noise, highlighting the situations in which the simplifying assumptions are inadequate. Graphical abstract: [Figure not available: see fulltext.].

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Proença 2019 Article Measurements Of The Single-point A - Version of Record
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More information

Accepted/In Press date: 5 March 2019
e-pub ahead of print date: 13 March 2019
Published date: 1 April 2019

Identifiers

Local EPrints ID: 430522
URI: http://eprints.soton.ac.uk/id/eprint/430522
ISSN: 0723-4864
PURE UUID: 12180bd0-3b8f-48f3-a568-df3e20b506bc
ORCID for Anderson Proença: ORCID iD orcid.org/0000-0002-4002-1805

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Date deposited: 03 May 2019 16:30
Last modified: 17 Mar 2024 12:25

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Contributors

Author: Anderson Proença ORCID iD
Author: Jack Lawrence
Author: Rod Self

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