MTU Library Catalogue

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Micro flows : fundamentals and simulation / George Em Karniadakis, Ali Beskok.

By: Karniadakis, George.
Contributor(s): Beşkök, Ali, 1966-.
Material type: materialTypeLabelBookPublisher: New York : Springer, 2002Description: xv, 340 p. ; ill. ; 24 cm.+ hbk.ISBN: 0387953248.Subject(s): Fluid mechanics | MicromechanicsDDC classification: 620.1064
Contents:
Basic concepts and technologies -- Governing equations and slip models -- Shear-driven and separated micro flows -- Pressure-driven micro flows: slip flow regime -- Pressure-driven micro flows: transition and free-molecular regimes -- Thermal effects in micro scales -- Prototype applications of gas micro flows -- Electrokinetically driven liquid micro flows -- Numerical methods for continuum simulation -- Numercial methods for atomistic simulation.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 620.1064 (Browse shelf(Opens below)) 1 Available 00097751
Total holds: 0

Enhanced descriptions from Syndetics:

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.

Bibliography: (pages 311-334) and index.

Basic concepts and technologies -- Governing equations and slip models -- Shear-driven and separated micro flows -- Pressure-driven micro flows: slip flow regime -- Pressure-driven micro flows: transition and free-molecular regimes -- Thermal effects in micro scales -- Prototype applications of gas micro flows -- Electrokinetically driven liquid micro flows -- Numerical methods for continuum simulation -- Numercial methods for atomistic simulation.

Table of contents provided by Syndetics

  • Preface (p. v)
  • Nomenclature (p. xiii)
  • 1 Basic Concepts and Technologies (p. 1)
  • 1.1 New Flow Regimes in MEMS (p. 1)
  • 1.2 The Continuum Hypothesis (p. 7)
  • 1.2.1 Molecular Magnitudes (p. 11)
  • 1.2.2 Mixed Flow Regimes (p. 16)
  • 1.2.3 Experimental Evidence (p. 17)
  • 1.3 The Pioneers (p. 21)
  • 1.4 Full-System Simulation of MEMS (p. 24)
  • 1.5 Modeling of Micro Flows (p. 31)
  • 2 Governing Equations and Slip Models (p. 39)
  • 2.1 The Basic Equations of Fluid Dynamics (p. 39)
  • 2.1.1 Incompressible Flow (p. 42)
  • 2.1.2 Reduced Models (p. 44)
  • 2.2 Compressible Flow (p. 45)
  • 2.2.1 First-Order Models (p. 47)
  • 2.2.2 The Role of the Accommodation Coefficients (p. 49)
  • 2.3 High-Order Models (p. 53)
  • 2.3.1 Derivation of High-Order Slip Models (p. 54)
  • 2.3.2 General Slip Condition (p. 57)
  • 2.3.3 Comparison of Slip Models (p. 61)
  • 3 Shear-Driven and Separated Micro Flows (p. 63)
  • 3.1 Couette Flow (p. 63)
  • 3.2 Cavity Flow (p. 67)
  • 3.3 Grooved Channel Flow (p. 68)
  • 3.4 Separated Internal Flows (p. 71)
  • 3.4.1 Validation of Slip Models with DSMC (p. 77)
  • 3.5 Separated External Flows (p. 83)
  • 4 Pressure-Driven Micro Flows: Slip Flow Regime (p. 87)
  • 4.1 Isothermal Compressible Flows (p. 87)
  • 4.2 Adiabatic Compressible Flows - Fanno Theory (p. 95)
  • 4.3 Inlet Flows (p. 101)
  • 4.4 Validation of Slip Models with DSMC (p. 102)
  • 4.5 Effects of Roughness (p. 108)
  • 5 Pressue-Driven Micro Flows: Transition and Free-Molecular Regimes (p. 113)
  • 5.1 Transition and Free-Molecular Flow Regimes (p. 113)
  • 5.2 Burnett Equations in Micro Channels (p. 117)
  • 5.3 A Unified Flow Model (p. 119)
  • 5.3.1 Velocity Scaling (p. 119)
  • 5.3.2 Flowrate Scaling (p. 122)
  • 5.3.3 Model for Pipe and Duct Flows (p. 127)
  • 6 Thermal Effects in Micro Scales (p. 139)
  • 6.1 Thermal Creep (Transpiration) (p. 139)
  • 6.1.1 Simulation Results (p. 141)
  • 6.1.2 A Thermal Creep Experiment (p. 145)
  • 6.1.3 Knudsen Compressors (p. 146)
  • 6.1.4 Other Temperature-Induced Flows (p. 147)
  • 6.1.5 Heat Conduction and the Ghost Effect (p. 149)
  • 6.2 Heat Transfer in Micro Poiseuille Flows (p. 151)
  • 6.3 Heat Transfer in Micro Couette Flows (p. 158)
  • 7 Prototype Applications of Gas Micro Flows (p. 163)
  • 7.1 Gas Damping and Dynamic Response of MEMS (p. 163)
  • 7.1.1 Reynolds Equation (p. 166)
  • 7.1.2 Squeezed Film Effects in Accelerometers (p. 173)
  • 7.2 Micro Propulsion and Micro Nozzle Flows (p. 178)
  • 7.2.1 Micro Propulsion Analysis (p. 180)
  • 7.2.2 Rarefaction and Other Effects (p. 184)
  • 8 Electrokinetically Driven Liquid Micro Flows (p. 193)
  • 8.1 Electrokinetic Effects - Review (p. 194)
  • 8.2 The Electric Double Layer (p. 195)
  • 8.3 Near-Wall Potential Distribution (p. 197)
  • 8.4 Governing Equations for Electroosmotic Flows (p. 199)
  • 8.4.1 Numerical Formulation and Validation (p. 200)
  • 8.5 Electrokinetic Micro Channel Flows (p. 202)
  • 8.6 EDL/Bulk Flow Interface Velocity Matching Condition (p. 207)
  • 8.7 Electroosmotic Slip Condition (p. 208)
  • 8.7.1 Approximate Evaluation of Drag Force due to Electroosmotic Effects (p. 209)
  • 8.8 Complex Geometry Flows (p. 210)
  • 8.8.1 Cross-Flow Junctions (p. 211)
  • 8.8.2 Array of Circular and Square Posts (p. 213)
  • 8.9 Dielectrophoresis (p. 215)
  • 9 Numerical Methods for Continuum Simulation (p. 223)
  • 9.1 A High-Order Numerical Method: The ¿Flow Code (p. 224)
  • 9.1.1 Formulation for Incompressible Micro Flows (p. 228)
  • 9.1.2 Formulation for Compressible Micro Flows (p. 231)
  • 9.1.3 Implementation of Slip Boundary Conditions (p. 236)
  • 9.1.4 Validation Problems (p. 237)
  • 9.2 A Meshless Numerical Method (p. 239)
  • 9.3 The Force Coupling Method for Particulate Micro Flows (p. 246)
  • 10 Numerical Methods for Atomistic Simulation (p. 257)
  • 10.1 Molecular Dynamics (MD) Method (p. 257)
  • 10.1.1 MD-Continuum Coupling (p. 263)
  • 10.2 Direct Simulation Monte Carlo (DSMC) Method (p. 266)
  • 10.2.1 Limitations and Errors in DSMC (p. 269)
  • 10.2.2 DSMC-Information Preservation Method (p. 274)
  • 10.2.3 DSMC-Continuum Coupling (p. 275)
  • 10.3 The Boltzmann Equation (p. 279)
  • 10.3.1 General Theory (p. 279)
  • 10.3.2 Classical Solutions of Boltzmann Equation (p. 284)
  • 10.3.3 Sone's Asymptotic Theory of Boltzmann Equation (p. 288)
  • 10.3.4 Numerical Solutions of Boltzmann Equation (p. 297)
  • 10.3.5 Non-Isothermal Flows (p. 301)
  • 10.4 Lattice-Boltzmann Method (LBM) (p. 303)
  • 10.4.1 Comparison with Navier-Stokes Solutions (p. 306)
  • 10.4.2 LBM Simulation of Micro Flows (p. 308)
  • Bibliography (p. 311)
  • Index (p. 335)