Bifurcations of a creeping air–water flow in a conical container
Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Balci, Adnan [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and computational fluid dynamics - Berlin : Springer, 1989, 30(2016), 5 vom: 20. Apr., Seite 485-496 |
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| Übergeordnetes Werk: |
volume:30 ; year:2016 ; number:5 ; day:20 ; month:04 ; pages:485-496 |
| Links: |
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| DOI / URN: |
10.1007/s00162-016-0391-z |
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SPR00134689X |
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| 100 | 1 | |a Balci, Adnan |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Bifurcations of a creeping air–water flow in a conical container |
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| 520 | |a Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. | ||
| 650 | 4 | |a Vortex breakdown |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Rotating flow |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Creeping flow |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Bioreactors |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Flow topology |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Brøns, Morten |4 aut | |
| 700 | 1 | |a Herrada, Miguel A. |4 aut | |
| 700 | 1 | |a Shtern, Vladimir N. |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Theoretical and computational fluid dynamics |d Berlin : Springer, 1989 |g 30(2016), 5 vom: 20. Apr., Seite 485-496 |w (DE-627)254909701 |w (DE-600)1463179-9 |x 1432-2250 |7 nnns |
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10.1007/s00162-016-0391-z doi (DE-627)SPR00134689X (SPR)s00162-016-0391-z-e DE-627 ger DE-627 rakwb eng Balci, Adnan verfasserin aut Bifurcations of a creeping air–water flow in a conical container 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. Vortex breakdown (dpeaa)DE-He213 Rotating flow (dpeaa)DE-He213 Creeping flow (dpeaa)DE-He213 Bioreactors (dpeaa)DE-He213 Flow topology (dpeaa)DE-He213 Brøns, Morten aut Herrada, Miguel A. aut Shtern, Vladimir N. aut Enthalten in Theoretical and computational fluid dynamics Berlin : Springer, 1989 30(2016), 5 vom: 20. Apr., Seite 485-496 (DE-627)254909701 (DE-600)1463179-9 1432-2250 nnns volume:30 year:2016 number:5 day:20 month:04 pages:485-496 https://dx.doi.org/10.1007/s00162-016-0391-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2016 5 20 04 485-496 |
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10.1007/s00162-016-0391-z doi (DE-627)SPR00134689X (SPR)s00162-016-0391-z-e DE-627 ger DE-627 rakwb eng Balci, Adnan verfasserin aut Bifurcations of a creeping air–water flow in a conical container 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. Vortex breakdown (dpeaa)DE-He213 Rotating flow (dpeaa)DE-He213 Creeping flow (dpeaa)DE-He213 Bioreactors (dpeaa)DE-He213 Flow topology (dpeaa)DE-He213 Brøns, Morten aut Herrada, Miguel A. aut Shtern, Vladimir N. aut Enthalten in Theoretical and computational fluid dynamics Berlin : Springer, 1989 30(2016), 5 vom: 20. Apr., Seite 485-496 (DE-627)254909701 (DE-600)1463179-9 1432-2250 nnns volume:30 year:2016 number:5 day:20 month:04 pages:485-496 https://dx.doi.org/10.1007/s00162-016-0391-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2016 5 20 04 485-496 |
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10.1007/s00162-016-0391-z doi (DE-627)SPR00134689X (SPR)s00162-016-0391-z-e DE-627 ger DE-627 rakwb eng Balci, Adnan verfasserin aut Bifurcations of a creeping air–water flow in a conical container 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. Vortex breakdown (dpeaa)DE-He213 Rotating flow (dpeaa)DE-He213 Creeping flow (dpeaa)DE-He213 Bioreactors (dpeaa)DE-He213 Flow topology (dpeaa)DE-He213 Brøns, Morten aut Herrada, Miguel A. aut Shtern, Vladimir N. aut Enthalten in Theoretical and computational fluid dynamics Berlin : Springer, 1989 30(2016), 5 vom: 20. Apr., Seite 485-496 (DE-627)254909701 (DE-600)1463179-9 1432-2250 nnns volume:30 year:2016 number:5 day:20 month:04 pages:485-496 https://dx.doi.org/10.1007/s00162-016-0391-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2016 5 20 04 485-496 |
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10.1007/s00162-016-0391-z doi (DE-627)SPR00134689X (SPR)s00162-016-0391-z-e DE-627 ger DE-627 rakwb eng Balci, Adnan verfasserin aut Bifurcations of a creeping air–water flow in a conical container 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. Vortex breakdown (dpeaa)DE-He213 Rotating flow (dpeaa)DE-He213 Creeping flow (dpeaa)DE-He213 Bioreactors (dpeaa)DE-He213 Flow topology (dpeaa)DE-He213 Brøns, Morten aut Herrada, Miguel A. aut Shtern, Vladimir N. aut Enthalten in Theoretical and computational fluid dynamics Berlin : Springer, 1989 30(2016), 5 vom: 20. Apr., Seite 485-496 (DE-627)254909701 (DE-600)1463179-9 1432-2250 nnns volume:30 year:2016 number:5 day:20 month:04 pages:485-496 https://dx.doi.org/10.1007/s00162-016-0391-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2016 5 20 04 485-496 |
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10.1007/s00162-016-0391-z doi (DE-627)SPR00134689X (SPR)s00162-016-0391-z-e DE-627 ger DE-627 rakwb eng Balci, Adnan verfasserin aut Bifurcations of a creeping air–water flow in a conical container 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. Vortex breakdown (dpeaa)DE-He213 Rotating flow (dpeaa)DE-He213 Creeping flow (dpeaa)DE-He213 Bioreactors (dpeaa)DE-He213 Flow topology (dpeaa)DE-He213 Brøns, Morten aut Herrada, Miguel A. aut Shtern, Vladimir N. aut Enthalten in Theoretical and computational fluid dynamics Berlin : Springer, 1989 30(2016), 5 vom: 20. Apr., Seite 485-496 (DE-627)254909701 (DE-600)1463179-9 1432-2250 nnns volume:30 year:2016 number:5 day:20 month:04 pages:485-496 https://dx.doi.org/10.1007/s00162-016-0391-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2016 5 20 04 485-496 |
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Enthalten in Theoretical and computational fluid dynamics 30(2016), 5 vom: 20. Apr., Seite 485-496 volume:30 year:2016 number:5 day:20 month:04 pages:485-496 |
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Enthalten in Theoretical and computational fluid dynamics 30(2016), 5 vom: 20. Apr., Seite 485-496 volume:30 year:2016 number:5 day:20 month:04 pages:485-496 |
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Theoretical and computational fluid dynamics |
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Balci, Adnan @@aut@@ Brøns, Morten @@aut@@ Herrada, Miguel A. @@aut@@ Shtern, Vladimir N. @@aut@@ |
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2016-04-20T00:00:00Z |
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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">SPR00134689X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230330155015.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201001s2016 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00162-016-0391-z</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR00134689X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00162-016-0391-z-e</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="100" ind1="1" ind2=" "><subfield code="a">Balci, Adnan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bifurcations of a creeping air–water flow in a conical container</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</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">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag Berlin Heidelberg 2016</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. 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Balci, Adnan |
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Bifurcations of a creeping air–water flow in a conical container Vortex breakdown (dpeaa)DE-He213 Rotating flow (dpeaa)DE-He213 Creeping flow (dpeaa)DE-He213 Bioreactors (dpeaa)DE-He213 Flow topology (dpeaa)DE-He213 |
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bifurcations of a creeping air–water flow in a conical container |
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Bifurcations of a creeping air–water flow in a conical container |
| abstract |
Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. © Springer-Verlag Berlin Heidelberg 2016 |
| abstractGer |
Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. © Springer-Verlag Berlin Heidelberg 2016 |
| abstract_unstemmed |
Abstract This numerical study describes the eddy emergence and transformations in a slow steady axisymmetric air–water flow, driven by a rotating top disk in a vertical conical container. As water height %$H_{\mathrm{w}}%$ and cone half-angle %$\beta %$ vary, numerous flow metamorphoses occur. They are investigated for %$\beta =30^{\circ }, 45^{\circ }%$, and %$60^{\circ }%$. For small %$H_{\mathrm{w}}%$, the air flow is multi-cellular with clockwise meridional circulation near the disk. The air flow becomes one cellular as %$H_{\mathrm{w}}%$ exceeds a threshold depending on %$\beta %$. For all %$\beta %$, the water flow has an unbounded number of eddies whose size and strength diminish as the cone apex is approached. As the water level becomes close to the disk, the outmost water eddy with clockwise meridional circulation expands, reaches the interface, and induces a thin layer with anticlockwise circulation in the air. Then this layer expands and occupies the entire air domain. The physical reasons for the flow transformations are provided. The results are of fundamental interest and can be relevant for aerial bioreactors. © Springer-Verlag Berlin Heidelberg 2016 |
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| title_short |
Bifurcations of a creeping air–water flow in a conical container |
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https://dx.doi.org/10.1007/s00162-016-0391-z |
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Brøns, Morten Herrada, Miguel A. Shtern, Vladimir N. |
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10.1007/s00162-016-0391-z |
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2024-07-03T21:57:14.210Z |
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| score |
7.4021244 |