Conservation Laws in Variational Thermo-Hydrodynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications
279 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This study is one of the first attempts to bridge the theoretical models of variational dynamics of perfect fluids and some practical approaches worked out in chemical and mechanical engineering in the field newly called thermo-hydrodynamics. In recent years, applied mathematicians and theoretical physicists have made significant progress in formulating analytical tools to describe fluid dynamics through variational methods. These tools are much loved by theoretists, and rightly so, because they are quite powerful and beautiful theoretical tools. Chemists, physicists and engineers, however, are limited in their ability to use these tools, because presently they are applicable only to "perfect fluids" (i. e. those fluids without viscosity, heat transfer, diffusion and chemical reactions). To be useful, a model must take into account important transport and rate phenomena, which are inherent to real fluid behavior and which cannot be ignored. This monograph serves to provide the beginnings of a means by which to extend the mathematical analyses to include the basic effects of thermo-hydrodynamics. In large part a research report, this study uses variational calculus as a basic theoretical tool, without undo compromise to the integrity of the mathematical analyses, while emphasizing the conservation laws of real fluids in the context of underlying thermodynamics --reversible or irreversible. The approach of this monograph is a new generalizing approach, based on Nother's theorem and variational calculus, which leads to the energy-momentum tensor and the related conservation or balance equations in fluids |
| Beschreibung: | 1 Online-Ressource (XXIII, 448 p) |
| ISBN: | 9789401110846 9789401044738 |
| DOI: | 10.1007/978-94-011-1084-6 |
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Datensatz im Suchindex
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| author | Sieniutycz, Stanislaw 1940- |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1084-6 |
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| language | English |
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| spelling | Sieniutycz, Stanislaw 1940- Verfasser (DE-588)1208248626 aut Conservation Laws in Variational Thermo-Hydrodynamics by Stanislaw Sieniutycz Dordrecht Springer Netherlands 1994 1 Online-Ressource (XXIII, 448 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 279 This study is one of the first attempts to bridge the theoretical models of variational dynamics of perfect fluids and some practical approaches worked out in chemical and mechanical engineering in the field newly called thermo-hydrodynamics. In recent years, applied mathematicians and theoretical physicists have made significant progress in formulating analytical tools to describe fluid dynamics through variational methods. These tools are much loved by theoretists, and rightly so, because they are quite powerful and beautiful theoretical tools. Chemists, physicists and engineers, however, are limited in their ability to use these tools, because presently they are applicable only to "perfect fluids" (i. e. those fluids without viscosity, heat transfer, diffusion and chemical reactions). To be useful, a model must take into account important transport and rate phenomena, which are inherent to real fluid behavior and which cannot be ignored. This monograph serves to provide the beginnings of a means by which to extend the mathematical analyses to include the basic effects of thermo-hydrodynamics. In large part a research report, this study uses variational calculus as a basic theoretical tool, without undo compromise to the integrity of the mathematical analyses, while emphasizing the conservation laws of real fluids in the context of underlying thermodynamics --reversible or irreversible. The approach of this monograph is a new generalizing approach, based on Nother's theorem and variational calculus, which leads to the energy-momentum tensor and the related conservation or balance equations in fluids Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Classical Continuum Physics Fluid- and Aerodynamics Mathematik Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Fluid (DE-588)4017690-3 gnd rswk-swf Thermomechanische Eigenschaft (DE-588)4194417-3 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Fluid (DE-588)4017690-3 s Thermomechanische Eigenschaft (DE-588)4194417-3 s Erhaltungssatz (DE-588)4131214-4 s Variationsrechnung (DE-588)4062355-5 s 2\p DE-604 Thermodynamik (DE-588)4059827-5 s 3\p DE-604 https://doi.org/10.1007/978-94-011-1084-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sieniutycz, Stanislaw 1940- Conservation Laws in Variational Thermo-Hydrodynamics Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Classical Continuum Physics Fluid- and Aerodynamics Mathematik Variationsrechnung (DE-588)4062355-5 gnd Fluid (DE-588)4017690-3 gnd Thermomechanische Eigenschaft (DE-588)4194417-3 gnd Erhaltungssatz (DE-588)4131214-4 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4017690-3 (DE-588)4194417-3 (DE-588)4131214-4 (DE-588)4059827-5 (DE-588)1071861417 |
| title | Conservation Laws in Variational Thermo-Hydrodynamics |
| title_auth | Conservation Laws in Variational Thermo-Hydrodynamics |
| title_exact_search | Conservation Laws in Variational Thermo-Hydrodynamics |
| title_full | Conservation Laws in Variational Thermo-Hydrodynamics by Stanislaw Sieniutycz |
| title_fullStr | Conservation Laws in Variational Thermo-Hydrodynamics by Stanislaw Sieniutycz |
| title_full_unstemmed | Conservation Laws in Variational Thermo-Hydrodynamics by Stanislaw Sieniutycz |
| title_short | Conservation Laws in Variational Thermo-Hydrodynamics |
| title_sort | conservation laws in variational thermo hydrodynamics |
| topic | Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Classical Continuum Physics Fluid- and Aerodynamics Mathematik Variationsrechnung (DE-588)4062355-5 gnd Fluid (DE-588)4017690-3 gnd Thermomechanische Eigenschaft (DE-588)4194417-3 gnd Erhaltungssatz (DE-588)4131214-4 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Classical Continuum Physics Fluid- and Aerodynamics Mathematik Variationsrechnung Fluid Thermomechanische Eigenschaft Erhaltungssatz Thermodynamik Konferenzschrift |
| url | https://doi.org/10.1007/978-94-011-1084-6 |
| work_keys_str_mv | AT sieniutyczstanislaw conservationlawsinvariationalthermohydrodynamics |