Karniadakis, George.
Micro flows : fundamentals and simulation / George Em Karniadakis, Ali Beskok.
— New York : Springer, 2002. xv, 340 p. : il. ; 24 cm.
Incluye índice.
Incluye referencias bibliográficas (p. [311]-334) e índice.
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)
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