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Título/responsables
Micro flows : fundamentals and simulation
/ George Em Karniadakis, Ali Beskok.
Publicación
New York : Springer, 2002.
Detalles físicos
xv, 340 págs. : ilustraciones ; 24 cm.
Notas
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.
ISBN
0387953248 (alk. paper)
Temas
Fluid mechanics.
Micromechanics.
Dinamica de fluidos.
Nombres
Karniadakis, George.
Beskök, Ali, 1966-
UBICACION
532 K147
ENLACES
Indice
LIBRERÍAS
Amazon.com
Barnes & Noble
Registro 004589 · Modificado: 19/12/2006
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