Micro flows : fundamentals and simulation
George Em Karniadakis, Ali Beskok.
New York : Springer, 2002.
xv, 340 págs. : ilustraciones ; 24 cm.
ISBN: 0387953248 (alk. paper)
Incluye índice.
Incluye referencias bibliográficas (p. [311]-334) e índice.
Contenido
- Machine generated contents note: 1 Basic Concepts and Technologies 1
- 1.1 New Flow Regimes in MEMS1
- 1.2 The Continuum Hypothesis7
- 1.2.1 Molecular Magnitudes11
- 1.2.2 Mixed Flow Regimes16
- 1.2.3 Experimental Evidence17
- 1.3 The Pioneers21
- 1.4 Full-System Simulation of MEMS24
- 1.5 Modeling of Micro Flows31
- 2 Governing Equations and Slip Models 39
- 2.1 The Basic Equations of Fluid Dynamics39
- 2.1.1 Incompressible Flow42
- 2.1.2 Reduced Models44
- 2.2 Compressible Flow45
- 2.2.1 First-Order Models47
- 2.2.2 The Role of the Accommodation Coefficients49
- 2.3 High-Order Models53
- 2.3.1 Derivation of High-Order Slip Models54
- 2.3.2 General Slip Condition57
- 2.3.3 Comparison of Slip Models61
- 3 Shear-Driven and Separated
- Micro Flows 63
- 3.1 Couette Flow63
- 3.2 Cavity Flow67
- 3.3 Grooved Channel Flow68
- 3.4 Separated Internal Flows71
- 3.4.1 Validation of Slip Models with DSMC77
- 3.5 Separated External Flows83
- 4 Pressure-Driven Micro Flows:
- Slip Flow Regime 87
- 4.1 Isothermal Compressible Flows87
- 4.2 Adiabatic Compressible Flows - Fanno Theory95
- 4.3 Inlet Flows101
- 4.4 Validation of Slip Models with DSMC102
- 4.5 Effects of Roughness108
- 5 Pressue-Driven Micro Flows: Transition and
- Free-Molecular Regimes 113
- 5.1 Transition and Free-Molecular Flow Regimes113
- 5.2 Burnett Equations in Micro Channels117
- 5.3 A Unified Flow Model119
- 5.3.1 Velocity Scaling 119
- 5.3.2 Flowrate Scaling122
- 5.3.3 Model for Pipe and Duct Flows127
- 6 Thermal Effects in Micro Scales 139
- 6.1 Thermal Creep (Transpiration)139
- 6.1.1 Simulation Results141
- 6.1.2 A Thermal Creep Experiment145
- 6.1.3 Knudsen Compressors146
- 6.1.4 Other Temperature-Induced Flows147
- 6.1.5 Heat Conduction and the Ghost Effect149
- 6.2 Heat Transfer in Micro Poiseuille Flows151
- 6.3 Heat Transfer in Micro Couette Flows158
- 7 Prototype Applications of Gas
- Micro Flows 163
- 7.1 Gas Damping and Dynamic Response of MEMS163
- 7.1.1 Reynolds Equation166
- 7.1.2 Squeezed Film Effects in Accelerometers173
- 7.2 Micro Propulsion and Micro Nozzle Flows178
- 7.2.1 Micro Propulsion Analysis180
- 7.2.2 Rarefaction and Other Effects184
- 8 Electrokinetically Driven Liquid
- Micro Flows 193
- 8.1 Electrokinetic Effects - Review194
- 8.2 The Electric Double Layer195
- 8.3 Near-Wall Potential Distribution197
- 8.4 Governing Equations for Electroosmotic Flows199
- 8.4.1 Numerical Formulation and Validation200
- 8.5 Electrokinetic Micro Channel Flows202
- 8.6 EDL/Bulk Flow Interface Velocity
- Matching Condition207
- 8.7 Electroosmotic Slip Condition208
- 8.7.1 Approximate Evaluation of Drag Force due to
- Electroosmotic Effects209
- 8.8 Complex Geometry Flows210
- 8.8.1 Cross-Flow Junctions211
- 8.8.2 Array of Circular and Square Posts213
- 8.9 Dielectrophoresis215
- 9 Numerical Methods for
- Continuum Simulation 223
- 9.1 A High-Order Numerical Method: The Flow Code224
- 9.1.1 Formulation for Incompressible Micro Flows228
- 9.1.2 Formulation for Compressible Micro Flows231
- 9.1.3 Implementation of Slip Boundary Conditions236
- 9.1.4 Validation Problems237
- 9.2 A Meshless Numerical Method239
- 9.3 The Force Coupling Method for Particulate
- Micro Flows246
- 10 Numerical Methods for
- Atomistic Simulation 257
- 10.1 Molecular Dynamics (MD) Method257
- 10.1.1 MD-Continumm Coupling263
- 10.2 Direct Simulation Monte Carlo (DSMC) Method266
- 10.2.1 Limitations and Errors in DSMC269
- 10.2.2 DSMC-Information Preservation Method274
- 10.2.3 DSMC-Continuum Coupling275
- 10.3 The Boltzmann Equation279
- 10.3.1 General Theory279
- 10.3.2 Classical Solutions of Boltzmann Equation284
- 10.3.3 Sone's Asymptotic Theory of
- Boltzmann Equation288
- 10.3.4 Numerical Solutions of Boltzmann Equation297
- 10.3.5 Non-Isothermal Flows301
- 10.4 Lattice-Boltzmann Method (LBM)303
- 10.4.1 Comparison with Navier-Stokes Solution306
- 10.4.2 LBM Simulation of Micro Flows308
- Bibliography 311
- Index 335.
