Coherent structure in the turbulent planar jet. Part 1. Extraction of proper orthogonal decomposition eigenmodes and their self-similarity
In this paper the coherent structure in the similarity region of the turbulent planar jet is examined experimentally by application of the proper orthogonal decomposition (POD). In particular, twin cross-stream rakes of X-wire probes are used to take cross-spectral measurements with different spanwi...
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Veröffentlicht in: | Journal of fluid mechanics 2000-07, Vol.414, p.145-194 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper the coherent structure in the similarity region of the turbulent planar
jet is examined experimentally by application of the proper orthogonal decomposition
(POD). In particular, twin cross-stream rakes of X-wire probes are used to
take cross-spectral measurements with different spanwise separations between the
rakes and at several locations throughout the similarity region. The resulting POD
spatial eigenfunctions for each of the three velocity components depend on cross-stream spatial coordinate, Strouhal number, and spanwise wavenumber. Corresponding
eigenvalue distributions are obtained in Strouhal number–spanwise wavenumber
space. Eigenvalue convergence is demonstrated to be rapid. When properly scaled
the eigenfunctions and eigenvalues are shown to exhibit self-similarity though the
streamwise location at which this commences depends on the particular velocity
component. The results suggest that the flow supports a planar structure aligned
in the spanwise direction as well as an essentially three-dimensional structure with
asymmetrical shape in the cross-stream direction and pseudo-periodically distributed
in the spanwise direction. Comparison of the single- and dual-rake implementations
of the POD presented in this paper demonstrate that measurements confined to a
single plane are incapable of properly extracting the planar modes. Rather, the single-rake implementation results in modes that appear to be a weighted sum of modes
corresponding to different spanwise wavenumbers. |
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ISSN: | 0022-1120 1469-7645 |
DOI: | 10.1017/S002211200000848X |