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Navier-Stokes equations : properties, description, and applications /
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Nova Science Publishers,
©2012.
|
| Colección: | Physics research and technology.
Mathematics research developments series. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- NAVIER-STOKES EQUATIONS; PROPERTIES, DESCRIPTIONAND APPLICATIONS; PHYSICS RESEARCH AND TECHNOLOGY; MATHEMATICS RESEARCH DEVELOPMENTS; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; PARABOLIC AND ELLIPTIC PARTIAL DIFFERENCEEQUATIONS: TOWARDS A DISCRETE SOLUTIONOF NAVIER-STOKES EQUATION; Abstrac; 1. Introduction; 2. Preliminaries; 2.1. Discrete Laplace Operator; 2.2. Admissible Metric Graphs; 2.3. Directional Derivatives; 3. Existence of Solutions of PdEs; 3.1. Semilinear Equations on 2̀; 3.2. Applications to PdEs; 4. Discrete Lane-Emden-Fowler Equation.
- 4.1. Adaptation of Lane-Emden-Fowler Equation4.2. Case of Admissible Metric Graphs; 4.3. Matrix Equations; 4.3.1. Infinite Graphs; 4.3.2. Finite Graphs; 4.4. Positive Solutions; 4.5. The Nehari Variety; 4.6. Existence of Positive Solutions; 4.7. Finite Case; 5. Discrete Navier-Stokes Equation; 5.1. The n-gradient; 5.2. The Adaptation; 5.3. The Associated Ordinary Differential Equation; 5.4. Examples; 6. Convenient Graphs; 6.1. First Step: Replacing by aWeighted Graph; 6.2. Second Step: Choosing Correct Graphs; 6.3. Equiangular Planar Graphs; 6.4. The Modified Ordinary Differential Equation.
- AcknowledgementsReferences; NUMERICAL SOLUTION OF NAVIER-STOKESEQUATIONS IN LIQUID METALSUNDER MAGNETIC FIELD; PART INUMERICAL COMPUTATION OF CZOCHRALSKI TECHNIQUEUNDER STATIC MAGNETIC FIELD EFFECT; ABSTRACT; I.1. INTRODUCTION; I.2. MATHEMATICAL MODEL; I.3. RESULTS AND DISCUSSION; I.3.1. Effect of Buoyancy and Thermocapillary Forces; I.3.2. Effect of an Externally Applied Magnetic Field; I.4. CONCLUSION; NOMENCLATURE; REFERENCES; PART IIMARANGONI-NATURAL CONVECTION IN LIQUID METALS INTHE PRESENCE OF A TILTED MAGNETIC FIELD; ABSTRACT; II. 1. INTRODUCTION; II. 2. MATHEMATICAL MODEL AND ANALYSIS.
- II. 3. NUMERICAL SOLUTION METHODOLOGYII. 4. RESULTS AND DISCUSSION; II. 4.1. Effects of Varying the Rayleigh Number on the Flow Fieldand the Heat Transfer; II. 4.2. Effects of Varying the Hartmann Number on the Flow Fieldand the Heat Transfer; II. 4.3. Effect of the Direction of the External Magnetic Field on the Flowand the Temperature Distribution; CONCLUSION; NOMENCLATURE; REFERENCES; USE OF THE NAVIER-STOKES EQUATIONS TO STUDYOF THE FLOW GENERATED BY TURBINES IMPELLERS; ABSTRACT; 1. INTRODUCTION; 2. MODEL FORMULATION; 2.1. Conservation Laws; 2.1.1. Continuity Equation.
- 2.1.2. Momentum Equations2.1.3. Energy Equation; 2.1.4. Complete System of the Navier-Stokes Equations; 2.2. Turbulent Flow Modelling; 2.2.1. Time-Resolved Simulations; 2.2.1.1. Direct Numerical Simulation; 2.2.1.2. Large Eddy Simulation; 2.2.2. Reynolds-Averaged Navier-Stokes Equations; 3. NUMERICAL MODELS; 3.1. Governing Equations; 3.2. Computer Methods; 3.2.1. CFD Code Presentation; 3.2.1.1. Pre-processor; 3.2.1.2. Processor; 3.2.1.3. Post-processor; 3.2.2. Boundary Conditions; 3.2.2.1. Velocity Components; 3.2.2.2. Characteristics of Turbulence; 3.2.3. Global Characteristics.