Optimal transient growth in turbulent pipe flow
Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and ra...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Song, Yang [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Ying yong shu xue he li xue / English edition - Shanghai University, 1980, 36(2015), 8 vom: Aug., Seite 1057-1072 |
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| Übergeordnetes Werk: |
volume:36 ; year:2015 ; number:8 ; month:08 ; pages:1057-1072 |
| Links: |
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| DOI / URN: |
10.1007/s10483-015-1963-7 |
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| Katalog-ID: |
OLC2042874728 |
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| 520 | |a Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. | ||
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10.1007/s10483-015-1963-7 doi (DE-627)OLC2042874728 (DE-He213)s10483-015-1963-7-p DE-627 ger DE-627 rakwb eng 510 VZ Song, Yang verfasserin aut Optimal transient growth in turbulent pipe flow 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. turbulent pipe flow optimal transient growth coherent structure Xu, Chunxiao aut Huang, Weixi aut Cui, Guixiang aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1057-1072 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1057-1072 https://doi.org/10.1007/s10483-015-1963-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1057-1072 |
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10.1007/s10483-015-1963-7 doi (DE-627)OLC2042874728 (DE-He213)s10483-015-1963-7-p DE-627 ger DE-627 rakwb eng 510 VZ Song, Yang verfasserin aut Optimal transient growth in turbulent pipe flow 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. turbulent pipe flow optimal transient growth coherent structure Xu, Chunxiao aut Huang, Weixi aut Cui, Guixiang aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1057-1072 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1057-1072 https://doi.org/10.1007/s10483-015-1963-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1057-1072 |
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10.1007/s10483-015-1963-7 doi (DE-627)OLC2042874728 (DE-He213)s10483-015-1963-7-p DE-627 ger DE-627 rakwb eng 510 VZ Song, Yang verfasserin aut Optimal transient growth in turbulent pipe flow 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. turbulent pipe flow optimal transient growth coherent structure Xu, Chunxiao aut Huang, Weixi aut Cui, Guixiang aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1057-1072 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1057-1072 https://doi.org/10.1007/s10483-015-1963-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1057-1072 |
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10.1007/s10483-015-1963-7 doi (DE-627)OLC2042874728 (DE-He213)s10483-015-1963-7-p DE-627 ger DE-627 rakwb eng 510 VZ Song, Yang verfasserin aut Optimal transient growth in turbulent pipe flow 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. turbulent pipe flow optimal transient growth coherent structure Xu, Chunxiao aut Huang, Weixi aut Cui, Guixiang aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1057-1072 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1057-1072 https://doi.org/10.1007/s10483-015-1963-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1057-1072 |
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10.1007/s10483-015-1963-7 doi (DE-627)OLC2042874728 (DE-He213)s10483-015-1963-7-p DE-627 ger DE-627 rakwb eng 510 VZ Song, Yang verfasserin aut Optimal transient growth in turbulent pipe flow 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. turbulent pipe flow optimal transient growth coherent structure Xu, Chunxiao aut Huang, Weixi aut Cui, Guixiang aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1057-1072 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1057-1072 https://doi.org/10.1007/s10483-015-1963-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1057-1072 |
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Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
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Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
| abstract_unstemmed |
Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process. © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2042874728</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502204330.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2015 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10483-015-1963-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2042874728</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10483-015-1963-7-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Song, Yang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Optimal transient growth in turbulent pipe flow</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Shanghai University and Springer-Verlag Berlin Heidelberg 2015</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The optimal transient growth process of perturbations driven by the pressure gradient is studied in a turbulent pipe flow. A new computational method is proposed, based on the projection operators which project the governing equations onto the subspace spanned by the radial vorticity and radial velocity. The method is validated by comparing with the previous studies. Two peaks of the maximum transient growth amplification curve are found at different Reynolds numbers ranging from 20 000 to 250 000. The optimal flow structures are obtained and compared with the experiments and DNS results. The location of the outer peak is at the azimuthal wave number n = 1, while the location of the inner peak is varying with the Reynolds number. It is observed that the velocity streaks in the buffer layer with a spacing of 100δv are the most amplified flow structures. Finally, we consider the optimal transient growth time and its dependence on the azimuthal wave length. It shows a self-similar behavior for perturbations of different scales in the optimal transient growth process.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">turbulent pipe flow</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">optimal transient growth</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">coherent structure</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Xu, Chunxiao</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Huang, Weixi</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cui, Guixiang</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Ying yong shu xue he li xue / English edition</subfield><subfield code="d">Shanghai University, 1980</subfield><subfield code="g">36(2015), 8 vom: Aug., Seite 1057-1072</subfield><subfield code="w">(DE-627)130523747</subfield><subfield code="w">(DE-600)770632-7</subfield><subfield code="w">(DE-576)016095987</subfield><subfield code="x">0253-4827</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:36</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:8</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:1057-1072</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10483-015-1963-7</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">36</subfield><subfield code="j">2015</subfield><subfield code="e">8</subfield><subfield code="c">08</subfield><subfield code="h">1057-1072</subfield></datafield></record></collection>
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