Fluid Mechanics at Interfaces 1 (eBook, ePUB)

Methods and Diversity
Redaktion: Prudhomme, Roger; Vincent, Stephane

• Format: ePub

Produktbeschreibung

Interfaces are present in most fluid mechanics problems. They not only denote phase separations and boundary conditions, but also thin flames and discontinuity waves. Fluid Mechanics at Interfaces 1 focuses on the science of interfaces, in particular, using various scientific methods of analysis relating to space, speed and time. Our investigation takes us from the microscopic or small scale (starting with molecular and nanoscopic scales) to the macroscopic (including meso and interstellar scales), and also explores the laws of interfaces (classical mechanics, quantum mechanics and relativistic mechanics). Chapter 1 examines the questions raised by modeling interfaces in the presence of one or more fluid phases. Chapter 2 discusses the action of turbulence in liquid-vapor flows that contain both small, dispersed bubbles as well as large bubbles, with heat exchanges at the interfaces. In addition, a new model is presented, using large eddy simulation (LES). Chapter 3 studies an original method for calculating the drag force and thermal transfers in flows around networks of spherical particles, while Chapter 4 focuses on the relationships between interfaces and critical fluids. Chapter 5 examines shearing, which causes anomalies in the Brownian motion of particles in strongly fluctuating near-critical mixtures, and Chapter 6 introduces basic concepts related to combustion interfaces, raising the question of the combustion of solids, before ending with a brief presentation of the Rankine-Hugoniot theory and a historical overview of the research carried out in the field of combustion.

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Produktdetails

• Verlag: Wiley-Blackwell
• Seitenzahl: 256
• Erscheinungstermin: 4. März 2022
• Englisch
• ISBN-13: 9781119902966
• Artikelnr.: 63584811

Autorenporträt

Roger Prudhomme is the Emeritus Research Director at CNRS, France. His most recent research topics have included flames, two-phase flows and the modeling of fluid interfaces. Stephane Vincent is Professor at the Gustave Eiffel University, France. He leads the Heat and Mass Transfer team of the MSME laboratory. His research focuses on models and numerical methods for multiphase flows.

Inhaltsangabe

Preface ix
Roger PRUD'HOMME, Stéphane VINCENT, Christian CHAUVEAU and Mahouton Norbert HOUNKONNOU

Chapter 1. Modeling Interfaces with Fluid Phase 1
Roger PRUD'HOMME

1.1. The concept of an interface 3

1.1.1. Interface in physics and geometric surfaces 3

1.1.2. The concept of equilibrium in the domain of interfaces 6

1.2. Some examples of interfaces 6

1.2.1. Fluid phase change and separation interface 6

1.2.2. Solidification interface 7

1.2.3. Generalized interfaces 8

1.3. Mathematical description of an interfacial layer 10

1.3.1. Normal gradient and tangential gradient 12

1.3.2. Structure and kinematics of an interfacial layer 13

1.3.3. Bulk and surface quantities 16

1.3.4. Interface balances 17

1.3.5. Constitutive laws 20

1.4. Some additional information and examples of application 22

1.4.1. Effective surface tension between two miscible liquids 22

1.4.2. Terms that come into play in interface balance laws 23

1.4.3. Normal shockwave 24

1.4.4. Combustion waves 26

1.4.5. Thin premixed flame 29

1.4.6. Boundary layers 31

1.5. Conclusion 31

1.6. References 33

Chapter 2. Simulations of Turbulent Two-Phase Flows with Phase Change Using a Multifield Approach Combined with LES 37
Solène GOUÉNARD, Stéphane VINCENT and Stéphane MIMOUNI

2.1. Introduction 40

2.2. Computational model 42

2.2.1. Two-fluid model 43

2.2.2. Large Bubble Model 44

2.3. Filtered two-fluid equations 46

2.4. A priori LES study 47

2.4.1. Presentation of the test case 48

2.4.2. Order of magnitude of the subgrid terms 49

2.4.3. Comparison of turbulence models 52

2.4.4. ADM order 56

2.4.5. Effect of the filter 58

2.5. Comparison of turbulence models with true LES 61

2.5.1. Presentation of the METERO experiment 62

2.5.2. Presentation of the test case 63

2.5.3. Simulation results 63

2.5.4. Comparison between RANS and LES 64

2.5.5. ADM implementation 66

2.6. New phase change model for large interfaces 68

2.6.1. Implementation of the new heat flux model 68

2.6.2. Validation of the new heat transfer model 70

2.6.3. Sucking problem 71

2.6.4. Stefan problem 74

2.7. Conclusion 77

2.8. References 78

Chapter 3. An Original Approach to Extract Momentum and Heat Transfers from Particle-Resolved Simulations of Particulate Flows 83
Mohamed-Amine CHADIL, Stéphane VINCENT and Jean-Luc ESTIVALÈZES

3.1. Introduction 83

3.2. Numerical methodology 86

3.2.1. Viscous penalty method 86

3.2.2. Drag force and heat flux computation using Aslam extension 88

3.3. Isolated stationary sphere passed by a uniform flow 99

3.3.1. Drag force computation 100

3.3.2. Heat transfer computation 105

3.4. Face-centered cubic arrangement of stationary sphere passed by a uniform flow 107

3.4.1. Monodispersed face-centered cubic periodic arrangement of spheres 108

3.4.2. Bidisperse face-centered cubic periodic arrangement of spheres 111

3.5. Conclusion 113

3.6. Acknowledgments 114

3.7. References 114

Chapter 4. Interfaces and Critical Fluids 121
Roger PRUD'HOMME

4.1. Thermostatics of fluids in the vicinity of the critical point 123

4.1.1. Real fluids 123

4.1.2. A van der Waals fluid 125

4.1.3. Other laws for gases and dense liquids 128
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