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Micro Flows : Fundamentals and Simulation Book

Micro Flows : Fundamentals and Simulation
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Micro Flows : Fundamentals and Simulation, This monograph focusing on gas flows addresses mostly theoretical issues and develops semi-analytical models as well as numerical methods for stimulating micro flows. It is appropriate for researchers in fluid mechanics interested in this new flow field a, Micro Flows : Fundamentals and Simulation
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  • Micro Flows : Fundamentals and Simulation
  • Written by author George E. Karniadakis, Ali Beskok, Narayan Aluru
  • Published by Springer, 2001/12/01
  • This monograph focusing on gas flows addresses mostly theoretical issues and develops semi-analytical models as well as numerical methods for stimulating micro flows. It is appropriate for researchers in fluid mechanics interested in this new flow field a
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Authors

Preface
Nomenclature
1 Basic Concepts and Technologies 1
1.1 New Flow Regimes in MEMS 1
1.2 The Continuum Hypothesis 7
1.3 The Pioneers 21
1.4 Full-System Simulation of MEMS 24
1.5 Modeling of Micro Flows 31
2 Governing Equations and Slip Models 39
2.1 The Basic Equations of Fluid Dynamics 39
2.2 Compressible Flow 45
2.3 High-Order Models 53
3 Shear-Driven and Separated Micro Flows 63
3.1 Couette Flow 63
3.2 Cavity Flow 67
3.3 Grooved Channel Flow 68
3.4 Separated Internal Flows 71
3.5 Separated External Flows 83
4 Pressure-Driven Micro Flows: Slip Flow Regime 87
4.1 Isothermal Compressible Flows 87
4.2 Adiabatic Compressible Flows - Fanno Theory 95
4.3 Inlet Flows 101
4.4 Validation of Slip Models with DSMC 102
4.5 Effects of Roughness 108
5 Pressure-Driven Micro Flows: Transition and Free-Molecular Regimes 113
5.1 Transition and Free-Molecular Flow Regimes 113
5.2 Burnett Equations in Micro Channels 117
5.3 A Unified Flow Model 119
6 Thermal Effects in Micro Scales 139
6.1 Thermal Creep (Transpiration) 139
6.2 Heat Transfer in Micro Poiseuille Flows 151
6.3 Heat Transfer in Micro Couette Flows 158
7 Prototype Applications of Gas Micro Flows 163
7.1 Gas Damping and Dynamic Response of MEMS 163
7.2 Micro Propulsion and Micro Nozzle Flows 178
8 Electrokinetically Driven Liquid Micro Flows 193
8.1 Electrokinetic Effects - Review 194
8.2 The Electric Double Layer 195
8.3 Near-Wall Potential Distribution 197
8.4 Governing Equations for Electroosmotic Flows 199
8.5 Electrokinetic Micro Channel Flows 202
8.6 EDL/Bulk Flow Interface Velocity Matching Condition 207
8.7 Electroosmotic Slip Condition 208
8.8 Complex Geometry Flows 210
8.9 Dielectrophoresis 215
9 Numerical Methods for Continuum Simulation 223
9.1 A High-Order Numerical Method: The [mu]Flow Code 224
9.2 A Meshless Numerical Method 239
9.3 The Force Coupling Method for Particulate Micro Flows 246
10 Numerical Methods for Atomistic Simulation 257
10.1 Molecular Dynamics (MD) Method 257
10.2 Direct Simulation Monte Carlo (DSMC) Method 266
10.3 The Boltzmann Equation 279
10.4 Lattice-Boltzmann Method (LBM) 303
Bibliography 311
Index 335


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Micro Flows : Fundamentals and Simulation, This monograph focusing on gas flows addresses mostly theoretical issues and develops semi-analytical models as well as numerical methods for stimulating micro flows. It is appropriate for researchers in fluid mechanics interested in this new flow field a, Micro Flows : Fundamentals and Simulation

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Micro Flows : Fundamentals and Simulation, This monograph focusing on gas flows addresses mostly theoretical issues and develops semi-analytical models as well as numerical methods for stimulating micro flows. It is appropriate for researchers in fluid mechanics interested in this new flow field a, Micro Flows : Fundamentals and Simulation

Micro Flows : Fundamentals and Simulation

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Micro Flows : Fundamentals and Simulation, This monograph focusing on gas flows addresses mostly theoretical issues and develops semi-analytical models as well as numerical methods for stimulating micro flows. It is appropriate for researchers in fluid mechanics interested in this new flow field a, Micro Flows : Fundamentals and Simulation

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