Microflows

Fundamentals and Simulation

By: Ali Beskok, Narayan Aluru, George Karniadakis

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Hardcover | 16 November 2001 | Edition Number 2

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360 Pages

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16.4 x 24.2 x 2.7

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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 as well as for electrical or mechanical engineers or physicists who need to incorporate flow modeling into their work. From the reviews: "For those who want to compute flows at the micro scale, this monograph is a must. It describes the state of the art and helps by providing coefficients, such as [are] needed in situations of slip. Those who wonder what new fluid dynamics there is in the microworld are served by the overview of theory and treasures of numerical methods." ?EUROPEAN JOURNAL OF MECHANICS B / FLUIDS

Industry Reviews

From the reviews:

"For those who want to compute flows at the micro scale, this monograph is a must. It describes the state of the art and helps by providing coefficients, such as [are] needed in situations of slip. Those who wonder what new fluid dynamics there is in the microworld are served by the overview of theory and treasures of numerical methods."
EUROPEAN JOURNAL OF MECHANICS B / FLUIDS

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Preface	p. v
Nomenclature	p. xiii
Basic Concepts and Technologies	p. 1
New Flow Regimes in MEMS	p. 1
The Continuum Hypothesis	p. 7
Molecular Magnitudes	p. 11
Mixed Flow Regimes	p. 16
Experimental Evidence	p. 17
The Pioneers	p. 21
Full-System Simulation of MEMS	p. 24
Modeling of Micro Flows	p. 31
Governing Equations and Slip Models	p. 39
The Basic Equations of Fluid Dynamics	p. 39
Incompressible Flow	p. 42
Reduced Models	p. 44
Compressible Flow	p. 45
First-Order Models	p. 47
The Role of the Accommodation Coefficients	p. 49
High-Order Models	p. 53
Derivation of High-Order Slip Models	p. 54
General Slip Condition	p. 57
Comparison of Slip Models	p. 61
Shear-Driven and Separated Micro Flows	p. 63
Couette Flow	p. 63
Cavity Flow	p. 67
Grooved Channel Flow	p. 68
Separated Internal Flows	p. 71
Validation of Slip Models with DSMC	p. 77
Separated External Flows	p. 83
Pressure-Driven Micro Flows: Slip Flow Regime	p. 87
Isothermal Compressible Flows	p. 87
Adiabatic Compressible Flows - Fanno Theory	p. 95
Inlet Flows	p. 101
Validation of Slip Models with DSMC	p. 102
Effects of Roughness	p. 108
Pressue-Driven Micro Flows: Transition and Free-Molecular Regimes	p. 113
Transition and Free-Molecular Flow Regimes	p. 113
Burnett Equations in Micro Channels	p. 117
A Unified Flow Model	p. 119
Velocity Scaling	p. 119
Flowrate Scaling	p. 122
Model for Pipe and Duct Flows	p. 127
Thermal Effects in Micro Scales	p. 139
Thermal Creep (Transpiration)	p. 139
Simulation Results	p. 141
A Thermal Creep Experiment	p. 145
Knudsen Compressors	p. 146
Other Temperature-Induced Flows	p. 147
Heat Conduction and the Ghost Effect	p. 149
Heat Transfer in Micro Poiseuille Flows	p. 151
Heat Transfer in Micro Couette Flows	p. 158
Prototype Applications of Gas Micro Flows	p. 163
Gas Damping and Dynamic Response of MEMS	p. 163
Reynolds Equation	p. 166
Squeezed Film Effects in Accelerometers	p. 173
Micro Propulsion and Micro Nozzle Flows	p. 178
Micro Propulsion Analysis	p. 180
Rarefaction and Other Effects	p. 184
Electrokinetically Driven Liquid Micro Flows	p. 193
Electrokinetic Effects - Review	p. 194
The Electric Double Layer	p. 195
Near-Wall Potential Distribution	p. 197
Governing Equations for Electroosmotic Flows	p. 199
Numerical Formulation and Validation	p. 200
Electrokinetic Micro Channel Flows	p. 202
EDL/Bulk Flow Interface Velocity Matching Condition	p. 207
Electroosmotic Slip Condition	p. 208
Approximate Evaluation of Drag Force due to Electroosmotic Effects	p. 209
Complex Geometry Flows	p. 210
Cross-Flow Junctions	p. 211
Array of Circular and Square Posts	p. 213
Dielectrophoresis	p. 215
Numerical Methods for Continuum Simulation	p. 223
A High-Order Numerical Method: The ¿Flow Code	p. 224
Formulation for Incompressible Micro Flows	p. 228
Formulation for Compressible Micro Flows	p. 231
Implementation of Slip Boundary Conditions	p. 236
Validation Problems	p. 237
A Meshless Numerical Method	p. 239
The Force Coupling Method for Particulate Micro Flows	p. 246
Numerical Methods for Atomistic Simulation	p. 257
Molecular Dynamics (MD) Method	p. 257
MD-Continuum Coupling	p. 263
Direct Simulation Monte Carlo (DSMC) Method	p. 266
Limitations and Errors in DSMC	p. 269
DSMC-Information Preservation Method	p. 274
DSMC-Continuum Coupling	p. 275
The Boltzmann Equation	p. 279
General Theory	p. 279
Classical Solutions of Boltzmann Equation	p. 284
Sone's Asymptotic Theory of Boltzmann Equation	p. 288
Numerical Solutions of Boltzmann Equation	p. 297
Non-Isothermal Flows	p. 301
Lattice-Boltzmann Method (LBM)	p. 303
Comparison with Navier-Stokes Solutions	p. 306
LBM Simulation of Micro Flows	p. 308
Bibliography	p. 311
Index	p. 335
Table of Contents provided by Publisher. All Rights Reserved.

Microflows

Fundamentals and Simulation

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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