A general formulation of the reversible stress tensor for a nonlocal fluid
The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, singl...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhu, Jiujiang [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation - You, Jiajia ELSEVIER, 2021, IJES, New York, NY [u.a.] |
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| Übergeordnetes Werk: |
volume:70 ; year:2013 ; pages:124-134 ; extent:11 |
| Links: |
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| DOI / URN: |
10.1016/j.ijengsci.2013.03.014 |
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| 520 | |a The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. | ||
| 520 | |a The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. | ||
| 650 | 7 | |a Intermolecular interaction |2 Elsevier | |
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10.1016/j.ijengsci.2013.03.014 doi GBVA2013021000013.pica (DE-627)ELV033513341 (ELSEVIER)S0020-7225(13)00052-9 DE-627 ger DE-627 rakwb eng 600 600 DE-600 570 VZ BIODIV DE-30 fid 52.56 bkl Zhu, Jiujiang verfasserin aut A general formulation of the reversible stress tensor for a nonlocal fluid 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. Intermolecular interaction Elsevier Nonlocal fluid dynamics Elsevier Generalized stress tensor Elsevier Nonlocal functional variational principle Elsevier Crawford, John W. oth Palfreyman, John W. oth Enthalten in Science Direct You, Jiajia ELSEVIER Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation 2021 IJES New York, NY [u.a.] (DE-627)ELV006021921 volume:70 year:2013 pages:124-134 extent:11 https://doi.org/10.1016/j.ijengsci.2013.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 52.56 Regenerative Energieformen alternative Energieformen VZ AR 70 2013 124-134 11 045F 600 |
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10.1016/j.ijengsci.2013.03.014 doi GBVA2013021000013.pica (DE-627)ELV033513341 (ELSEVIER)S0020-7225(13)00052-9 DE-627 ger DE-627 rakwb eng 600 600 DE-600 570 VZ BIODIV DE-30 fid 52.56 bkl Zhu, Jiujiang verfasserin aut A general formulation of the reversible stress tensor for a nonlocal fluid 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. Intermolecular interaction Elsevier Nonlocal fluid dynamics Elsevier Generalized stress tensor Elsevier Nonlocal functional variational principle Elsevier Crawford, John W. oth Palfreyman, John W. oth Enthalten in Science Direct You, Jiajia ELSEVIER Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation 2021 IJES New York, NY [u.a.] (DE-627)ELV006021921 volume:70 year:2013 pages:124-134 extent:11 https://doi.org/10.1016/j.ijengsci.2013.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 52.56 Regenerative Energieformen alternative Energieformen VZ AR 70 2013 124-134 11 045F 600 |
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10.1016/j.ijengsci.2013.03.014 doi GBVA2013021000013.pica (DE-627)ELV033513341 (ELSEVIER)S0020-7225(13)00052-9 DE-627 ger DE-627 rakwb eng 600 600 DE-600 570 VZ BIODIV DE-30 fid 52.56 bkl Zhu, Jiujiang verfasserin aut A general formulation of the reversible stress tensor for a nonlocal fluid 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. Intermolecular interaction Elsevier Nonlocal fluid dynamics Elsevier Generalized stress tensor Elsevier Nonlocal functional variational principle Elsevier Crawford, John W. oth Palfreyman, John W. oth Enthalten in Science Direct You, Jiajia ELSEVIER Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation 2021 IJES New York, NY [u.a.] (DE-627)ELV006021921 volume:70 year:2013 pages:124-134 extent:11 https://doi.org/10.1016/j.ijengsci.2013.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 52.56 Regenerative Energieformen alternative Energieformen VZ AR 70 2013 124-134 11 045F 600 |
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10.1016/j.ijengsci.2013.03.014 doi GBVA2013021000013.pica (DE-627)ELV033513341 (ELSEVIER)S0020-7225(13)00052-9 DE-627 ger DE-627 rakwb eng 600 600 DE-600 570 VZ BIODIV DE-30 fid 52.56 bkl Zhu, Jiujiang verfasserin aut A general formulation of the reversible stress tensor for a nonlocal fluid 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. Intermolecular interaction Elsevier Nonlocal fluid dynamics Elsevier Generalized stress tensor Elsevier Nonlocal functional variational principle Elsevier Crawford, John W. oth Palfreyman, John W. oth Enthalten in Science Direct You, Jiajia ELSEVIER Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation 2021 IJES New York, NY [u.a.] (DE-627)ELV006021921 volume:70 year:2013 pages:124-134 extent:11 https://doi.org/10.1016/j.ijengsci.2013.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 52.56 Regenerative Energieformen alternative Energieformen VZ AR 70 2013 124-134 11 045F 600 |
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10.1016/j.ijengsci.2013.03.014 doi GBVA2013021000013.pica (DE-627)ELV033513341 (ELSEVIER)S0020-7225(13)00052-9 DE-627 ger DE-627 rakwb eng 600 600 DE-600 570 VZ BIODIV DE-30 fid 52.56 bkl Zhu, Jiujiang verfasserin aut A general formulation of the reversible stress tensor for a nonlocal fluid 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. Intermolecular interaction Elsevier Nonlocal fluid dynamics Elsevier Generalized stress tensor Elsevier Nonlocal functional variational principle Elsevier Crawford, John W. oth Palfreyman, John W. oth Enthalten in Science Direct You, Jiajia ELSEVIER Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation 2021 IJES New York, NY [u.a.] (DE-627)ELV006021921 volume:70 year:2013 pages:124-134 extent:11 https://doi.org/10.1016/j.ijengsci.2013.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 52.56 Regenerative Energieformen alternative Energieformen VZ AR 70 2013 124-134 11 045F 600 |
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600 - Technology 570 - Life sciences; biology |
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Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation |
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A general formulation of the reversible stress tensor for a nonlocal fluid |
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| title_full |
A general formulation of the reversible stress tensor for a nonlocal fluid |
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Zhu, Jiujiang |
| journal |
Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation |
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Metabolic engineering of Bacillus subtilis for enhancing riboflavin production by alleviating dissolved oxygen limitation |
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2013 |
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Zhu, Jiujiang |
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Elektronische Aufsätze |
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Zhu, Jiujiang |
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10.1016/j.ijengsci.2013.03.014 |
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600 570 |
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a general formulation of the reversible stress tensor for a nonlocal fluid |
| title_auth |
A general formulation of the reversible stress tensor for a nonlocal fluid |
| abstract |
The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. |
| abstractGer |
The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. |
| abstract_unstemmed |
The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation. |
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| title_short |
A general formulation of the reversible stress tensor for a nonlocal fluid |
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https://doi.org/10.1016/j.ijengsci.2013.03.014 |
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Crawford, John W. Palfreyman, John W. |
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Crawford, John W. Palfreyman, John W. |
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2024-07-06T18:45:12.218Z |
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