Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos
We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) vari...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2000 |
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| Schlagwörter: |
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| Umfang: |
17 |
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| Reproduktion: |
Emerald Fulltext Archive Database 1994-2005 |
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| Übergeordnetes Werk: |
In: International journal of numerical methods for heat & fluid flow - Bradford : MCB Univ. Press, 1991, 10(2000), 2, Seite 179-195 |
| Übergeordnetes Werk: |
volume:10 ; year:2000 ; number:2 ; pages:179-195 ; extent:17 |
| Links: |
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| DOI / URN: |
10.1108/09615530010312338 |
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NLEJ219923299 |
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| 520 | |a We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. | ||
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| 700 | 1 | |a Mansutti, Daniela |4 oth | |
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10.1108/09615530010312338 doi (DE-627)NLEJ219923299 DE-627 ger DE-627 rakwb eng XA-GB Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos 2000 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. Emerald Fulltext Archive Database 1994-2005 Fluids Natural convection Numerical analysis Bucchignani, Edoardo oth Mansutti, Daniela oth In International journal of numerical methods for heat & fluid flow Bradford : MCB Univ. Press, 1991 10(2000), 2, Seite 179-195 Online-Ressource (DE-627)NLEJ219579571 (DE-600)2006574-7 nnns volume:10 year:2000 number:2 pages:179-195 extent:17 http://dx.doi.org/10.1108/09615530010312338 GBV_USEFLAG_U ZDB-1-EFD GBV_NL_ARTICLE AR 10 2000 2 179-195 17 |
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10.1108/09615530010312338 doi (DE-627)NLEJ219923299 DE-627 ger DE-627 rakwb eng XA-GB Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos 2000 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. Emerald Fulltext Archive Database 1994-2005 Fluids Natural convection Numerical analysis Bucchignani, Edoardo oth Mansutti, Daniela oth In International journal of numerical methods for heat & fluid flow Bradford : MCB Univ. Press, 1991 10(2000), 2, Seite 179-195 Online-Ressource (DE-627)NLEJ219579571 (DE-600)2006574-7 nnns volume:10 year:2000 number:2 pages:179-195 extent:17 http://dx.doi.org/10.1108/09615530010312338 GBV_USEFLAG_U ZDB-1-EFD GBV_NL_ARTICLE AR 10 2000 2 179-195 17 |
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10.1108/09615530010312338 doi (DE-627)NLEJ219923299 DE-627 ger DE-627 rakwb eng XA-GB Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos 2000 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. Emerald Fulltext Archive Database 1994-2005 Fluids Natural convection Numerical analysis Bucchignani, Edoardo oth Mansutti, Daniela oth In International journal of numerical methods for heat & fluid flow Bradford : MCB Univ. Press, 1991 10(2000), 2, Seite 179-195 Online-Ressource (DE-627)NLEJ219579571 (DE-600)2006574-7 nnns volume:10 year:2000 number:2 pages:179-195 extent:17 http://dx.doi.org/10.1108/09615530010312338 GBV_USEFLAG_U ZDB-1-EFD GBV_NL_ARTICLE AR 10 2000 2 179-195 17 |
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10.1108/09615530010312338 doi (DE-627)NLEJ219923299 DE-627 ger DE-627 rakwb eng XA-GB Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos 2000 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. Emerald Fulltext Archive Database 1994-2005 Fluids Natural convection Numerical analysis Bucchignani, Edoardo oth Mansutti, Daniela oth In International journal of numerical methods for heat & fluid flow Bradford : MCB Univ. Press, 1991 10(2000), 2, Seite 179-195 Online-Ressource (DE-627)NLEJ219579571 (DE-600)2006574-7 nnns volume:10 year:2000 number:2 pages:179-195 extent:17 http://dx.doi.org/10.1108/09615530010312338 GBV_USEFLAG_U ZDB-1-EFD GBV_NL_ARTICLE AR 10 2000 2 179-195 17 |
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10.1108/09615530010312338 doi (DE-627)NLEJ219923299 DE-627 ger DE-627 rakwb eng XA-GB Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos 2000 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. Emerald Fulltext Archive Database 1994-2005 Fluids Natural convection Numerical analysis Bucchignani, Edoardo oth Mansutti, Daniela oth In International journal of numerical methods for heat & fluid flow Bradford : MCB Univ. Press, 1991 10(2000), 2, Seite 179-195 Online-Ressource (DE-627)NLEJ219579571 (DE-600)2006574-7 nnns volume:10 year:2000 number:2 pages:179-195 extent:17 http://dx.doi.org/10.1108/09615530010312338 GBV_USEFLAG_U ZDB-1-EFD GBV_NL_ARTICLE AR 10 2000 2 179-195 17 |
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horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos |
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Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos |
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We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. |
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We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. |
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We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario. |
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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">NLEJ219923299</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707095131.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">090811s2000 xxk|||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1108/09615530010312338</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ219923299</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="044" ind1=" " ind2=" "><subfield code="c">XA-GB</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Horizontal thermal convection in a shallow cavity: oscillatory regimes and transition to chaos</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">17</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We develop a numerical analysis of the buoyancy driven natural convection of a fluid in a three dimensional shallow cavity (4 · 1 · 1) with a horizontal gradient of temperature along the larger dimension. The fluid is a liquid metal (Prandtl number equal to 0. 015) while the Grashof number (Gr) varies in the range 100,000-300,000. The Navier-Stokes equations in vorticity-velocity formulation have been integrated by means of a linearized fully implicit scheme. The evaluation of fractal dimension of the attractors in the phase space has allowed the detection of the chaotic regime. The Ruelle-Takens bifurcation sequence has been observed as mechanism for the transition to chaos: the quasi periodic regime with three incommensurate frequencies is the instability mechanism responsible for the transition to chaos. Physical experiments confirm the existence of this scenario.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Emerald Fulltext Archive Database 1994-2005</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluids</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Natural convection</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical analysis</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bucchignani, Edoardo</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mansutti, Daniela</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">In</subfield><subfield code="t">International journal of numerical methods for heat & fluid flow</subfield><subfield code="d">Bradford : MCB Univ. Press, 1991</subfield><subfield code="g">10(2000), 2, Seite 179-195</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)NLEJ219579571</subfield><subfield code="w">(DE-600)2006574-7</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:10</subfield><subfield code="g">year:2000</subfield><subfield code="g">number:2</subfield><subfield code="g">pages:179-195</subfield><subfield code="g">extent:17</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1108/09615530010312338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-EFD</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">10</subfield><subfield code="j">2000</subfield><subfield code="e">2</subfield><subfield code="h">179-195</subfield><subfield code="g">17</subfield></datafield></record></collection>
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