Convection in Porous Media

Springer (Verlag)
  • 5. Auflage
  • |
  • erschienen am 15. März 2017
  • |
  • XXIX, 988 Seiten
E-Book | PDF mit Wasserzeichen-DRM | Systemvoraussetzungen
978-3-319-49562-0 (ISBN)
This updated edition of a widely admired text provides a user-friendly introduction to the field that requires only routine mathematics. The book starts with the elements of fluid mechanics and heat transfer, and covers a wide range of applications from fibrous insulation and catalytic reactors to geological strata, nuclear waste disposal, geothermal reservoirs, and the storage of heat-generating materials. As the standard reference in the field, this book will be essential to researchers and practicing engineers, while remaining an accessible introduction for graduate students and others entering the field. The new edition features 2700 new references covering a number of rapidly expanding fields, including the heat transfer properties of nanofluids and applications involving local thermal non-equilibrium and microfluidic effects.
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Following five years of service in the Royal New Zealand Navy, Donald Nield has held an appointment at the University of Auckland since 1962, the first 24 years in the Department of Mathematics and the remainder in the Department of Engineering Science, where he is currently an Honorary Academic. He holds the degrees of BD (Otago), MSc (NZ), MA (Cambridge) and PhD (Auckland). He currently serves as an Associate Editor of the journal Transport in Porous Media.
Adrian Bejan earned all his degrees at M.I.T.: B.S. (1971, Honors Course), M.S. (1972, Honors Course) and Ph.D. (1975). His work is in engineering science, applied physics, and the Constructal Law of physics, which governs organization and evolution in nature. He is the author of 30 books and over 600 peer-refereed journal articles. In 2001 he was ranked among the 100 most-cited authors in all Engineering worldwide. He is a member of the Academy of Europe, and an honorary member of ASME. He was awarded 18 honorary doctorates from universities in 11 countries.
Preface to the Fifth EditionPreface to the Fourth EditionPreface to the Third EditionPreface to the Second EditionPreface to the First EditionNomenclature1 Mechanics of Fluid Flow through a Porous Medium1.1 Introduction1.2 Porosity1.3 Seepage Velocity and the Equation of Continuity1.4 Momentum Equation: Darcy's Law1.4.1 Darcy's Law: Permeability1.4.2 Deterministic Models Leading to Darcy's Law1.4.3 Statistical Models Leading to Darcy's Law1.5 Extensions of Darcy's Law1.5.1 Acceleration and Other Inertial Effects1.5.2 Quadratic Drag: Forchheimer's Equation1.5.3 Brinkman's Equation1.5.4 Non-Newtonian Fluid1.6 Hydrodynamic Boundary Conditions1.7 Effects of Porosity Variation1.8 Turbulence in Porous Media1.9 Fractured Media, Deformable Media, and Complex Porous Media1.10 Bidisperse Porous Media2 Heat Transfer through a Porous Medium2.1 Energy Equation: Simple Case2.2 Energy Equation: Extensions to More Complex Situations2.2.1 Overall Thermal Conductivity of a Porous Medium2.2.2 Effects of Pressure Changes, and Viscous Dissipation2.2.3 Absence of Local Thermal Equilibrium2.2.4 Thermal Dispersion2.2.5 Cellular Porous Media2.3 Oberbeck-Boussinesq Approximation2.4 Thermal Boundary Conditions2.5 Hele-Shaw Analogy2.6 Bioheat Transfer and Other Approaches3 Mass Transfer in a Porous Medium: Multicomponent and Multiphase Flows3.1 Multicomponent Flow: Basic Concepts3.2 Mass Conservation in a Mixture3.3 Combined Heat and Mass Transfer3.4 Effects of a Chemical Reaction3.5 Multiphase Flow3.5.1 Conservation of Mass3.5.2 Conservation of Momentum3.5.3 Conservation of Energy3.5.4 Summary: Relative Permeabilities3.6 Unsaturated Porous Media3.7 Electrodiffusion through Porous media3.8 Nanofluids4 Forced Convection4.1 Plane Wall with Prescribed Temperature4.2 Plane Wall with Prescribed Heat Flux4.3 Sphere and Cylinder: Boundary Layers4.4 Point Source and Line Source: Thermal Wakes4.5 Confined Flow4.6 Transient Effects4.6.1 Scale Analysis4.6.2 Wall with Constant Temperature4.6.3 Wall with Constant Heat Flux4.6.4 Other Configurations4.7 Effects of Inertia and Thermal Dispersion: External Flow4.8 Effects of Boundary Friction and Porosity Variation: External Flow4.9 Effects of Boundary Friction, Inertia, Porosity Variation, Viscous Dissipation, and Thermal Dispersion: Confined Flow4.10 Local Thermal Nonequilibrium4.11 Partly Porous Configurations4.12 Transversely Heterogeneous Channels and Pipes4.13 Thermal Development4.14 Surfaces Covered with Porous Layers4.15 Designed Porous Media4.16 Other Configurations or Effects4.16.1 Effect of Temperature-dependent Viscosity4.16.2 Oscillatory Flows, Counterflows4.16.3 Non-Newtonian Fluids4.16.4 Bidisperse Porous Media4.16.5 Other Flows, Other Effects4.17 Heatlines for Visualizing Convection4.18 Constructal Tree Networks: Flow Access in Volume-to-Point Structures4.18.1 The Fundamental Volume-to-Point Flow Problem4.18.2 The Elemental Volume4.18.3 The First Construct4.18.4 Higher-Order Constructs4.18.5 The Constructal Law of Design and Evolution in Nature4.19 Constructal Multiscale Flow Structures; Vascular Design:4.20 Optimal Spacings for Plates Separated by Porous Structures5. External Natural Convection5.1 Vertical Plate5.1.1 Power Law Wall Temperature: Similarity Solution5.1.2 Vertical Plate with Lateral Mass Flux5.1.3 Transient Case: Integral Method5.1.4 Effects of Ambient Thermal Stratification5.1.5 Conjugate Boundary Layers5.1.6 Higher-Order Boundary Layer Theory5.1.7 Effects of Boundary Friction, Inertia, and Thermal Dispersion5.1.7.1 Boundary Friction Effects5.1.7.2 Inertial Effects5.1.7.3 Thermal Dispersion Effects5.1.8 Experimental Investigations5.1.9 Further Extensions of the Theory5.1.9.1 Particular Analytical Solutions5.1.9.2 Non-Newtonian Fluids5.1.9.3 Local Thermal NonEquilibrium5.1.9.4 Volumetric Heating due to Viscous Dissipation, Radiation or Otherwise5.1.9.5 Anisotropy and Heterogeneity5.1.9.6 Wavy Surface5.1.9.7 Time-dependent Gravity or Time-dependent Heating5.1.9.8 Newtonian Thermal Boundary Condition5.1.9.9 Other aspects5.2 Horizontal Plate5.3 Inclined Plate5.4 Vortex Instability5.5 Horizontal Cylinder5.5.1 Flow at High Rayleigh Number5.5.2 Flow at Low and Intermediate Rayleigh Number5.6 Sphere5.6.1 Flow at High Rayleigh Number5.6.2 Flow at Low Rayleigh Number5.6.3 Flow at Intermediate Rayleigh Number5.7 Vertical Cylinder5.8 Cone5.9 General Two-Dimensional or Axisymmetric Surface5.10 Horizontal Line Heat Source5.10.1 Flow at High Rayleigh Number5.10.1.1 Darcy Model5.10.1.2 Forchheimer Model5.10.2 Flow at Low Rayleigh Number5.11 Point Heat Source5.11.1 Flow at High Rayleigh Number5.11.2 Flow at Low Rayleigh Number5.11.3 Flow at Intermediate Rayleigh Number5.12 Other Configurations5.12.1 Fins Projecting from a Heated Base5.12.2 Flows in Regions Bounded by Two Planes 5.12.3 Other Situations5.13 Surfaces Covered with Hair6 Internal Natural Convection: Heating from Below6.1 Horton-Rogers-Lapwood Problem6.2 Linear Stability Analysis6.3 Weak Nonlinear Theory: Energy and Heat Transfer Results6.4 Weak Nonlinear Theory: Further Results6.5 Effects of Solid-Fluid Heat Transfer: Local Thermal Non-equilibrium6.6 Non-Darcy, Dispersion, and Viscous Dissipation Effects6.7 Non-Boussinesq Effects6.8 Finite-Amplitude Convection: Numerical Computation and Higher-Order Transitions6.9 Experimental Observations6.9.1 Observations of Flow Patterns and Heat Transfer6.9.2 Correlations of the Heat Transfer Data6.9.3 Further Experimental Observations6.10 Effects of Net Mass Flow6.10.1 Horizontal Throughflow6.10.2 Vertical Throughflow6.11 Effects of Nonlinear Basic Temperature Profiles6.11.1 General Theory6.11.2 Internal Heating6.11.3 Time-Dependent Heating6.11.4 Penetrative Convection, Icy Water6.12 Effects of Anisotropy6.13 Effects of Heterogeneity6.13.1 General Considerations6.13.2 Layered Porous Medium6.13.3 Analogy between Layering and Anisotropy6.13.4 Heterogeneity in the Horizontal Direction6.14 Effects of Nonuniform Heating6.15 Rectangular Box or Channel6.15.1 Linear Stability Analysis, Bifurcation Theory, and Numerical Studies6.15.2 Thin Box or Slot6.15.3 Additional Effects6.16 Cylinder 6.16.1 Vertical Cylinder or Annulus6.16.2 Horizontal Cylinder or Annulus6.17 Internal Heating in Other Geometries6.18 Localized Heating and Wavy Surface6.19 Superposed Fluid and Porous Layers6.19.1 Onset of Convection6.19.1.1 Formulation6.19.1.2 Results6.19.2 Flow Patterns and Heat Transfer6.19.3 Other Configurations and Effects6.20 Layer Saturated with Water Near 4°C6.21 Effects of a Magnetic Field6.22 Effects of Rotation6.23 Other Types of Fluids or Situations6.24 Effects of Vertical Vibration and Variable Gravity6.25 Bioconvection6.26 Constructal Theory of Bénard Convection6.26.1 The Many Counterflows Regime6.26.2 The Few Plumes Regime6.26.3 The Intersection of Asymptotes7 Internal Natural Convection: Heating from the Side7.1 Darcy Flow between Isothermal Side Walls7.1.1 Heat Transfer Regimes7.1.2 Boundary Layer Regime<7.1.3 Shallow Layer7.1.4 Stability of Flow7.1.5 Conjugate Convection7.1.6 Non-Newtonian Fluid7.1.7 Other situations7.2 Side Walls with Uniform Flux or Other Thermal Conditions7.3 Other Configurations and Effects of Property Variation7.3.1 Internal Partitions7.3.2 Effects of Heterogeneity and Anisotropy7.3.3 Cylindrical or Annular Enclosure7.3.4 Spherical Enclosure7.3.5 Porous Medium Saturated with Water Near 4°C7.3.6 Attic-Shaped Enclosure7.3.7 Other Enclosures7.3.8 Internal Heating7.4 Penetrative Convection7.4.1 Lateral Penetration7.4.2 Vertical Penetration7.4.3 Other Penetrative Flows7.5 Transient Effects7.6 Departure from Darcy Flow7.6.1 Inertial Effects7.6.2 Boundary Friction, Variable Porosity, Local Thermal Nonequilibrium, Viscous Dissipation, and Thermal Dispersion Effects7.7 Fluid and Porous Regions7.8 Sloping Porous Layer or Enclosure7.9 Inclined Temperature Gradient7.10 Periodic Heating7.11 Sources in Confined or Partly Confined Regions7.12 Effects of Rotation8 Mixed Convection8.1 External Flow8.1.1 Inclined or Vertical Plane Wall8.1.2 Horizontal Wall8.1.3 Cylinder or Sphere8.1.4 Other Geometries8.1.5 Unified Theory8.2 Internal Flow: Horizontal Channel8.2.1 Horizontal Layer: Uniform Heating8.2.2 Horizontal Layer: Localized Heating8.2.3 Horizontal Annulus8.2.4 Horizontal Layer: Lateral Heating8.3 Internal Flow: Vertical Channel8.3.1 Vertical Layer: Uniform Heating8.3.2 Vertical Layer: Localized Heating8.3.3 Vertical Annulus: Uniform Heating8.3.4 Vertical Annulus: Localized Heating8.4 Other Geometries and Other Effects8.4.1 Partly Porous Configurations8.4.2 Jet Impingement8.4.3 Other aspects9 Double-Diffusive Convection9.1 Vertical Heat and Mass Transfer9.1.1 Horton-Rogers-Lapwood Problem 9.1.2 Nonlinear Initial Profiles9.1.3 Finite-Amplitude Effects9.1.4 Soret and Dufour Cross-Diffusion Effects9.1.5 Flow at High Rayleigh Number9.1.6 Other Effects9.1.6.1 Dispersion9.1.6.2 Anisotropy and Heterogeneity9.1.6.3 Brinkman Model9.1.6.4 Additional Effects9.2 Horizontal Heat and Mass Transfer <9.2.1 Boundary Layer Flow and External Natural Convection9.2.2 Enclosed Porous Medium9.2.3 Transient Effects9.2.4 Stability of Flow9.3 Concentrated Heat and Mass Sources9.3.1 Point Source9.3.2 Horizontal Line Sourcerations9.5 Inclined and Crossed Gradients9.6 Mixed Double-Diffusive Convection9.6.1 Mixed External Convection9.6.2 Mixed Internal Convection9.7 Nanofluids10 Convection with Change of Phase10.1 Melting10.1.1 Enclosure Heated from the Side10.1.2 Scale Analysis10.1.3 Effect of Liquid Superheating10.1.4 Horizontal Liquid Layer10.1.5 Vertical Melting Front in an Infinite Porous Medium10.1.6 A More General Model10.1.7 Further Studies10.2 Freezing and Solidification10.2.1 Cooling from the Side10.2.1.1 Steady State10.2.1.2 Other Studies10.2.2 Cooling from Above10.2.3 Solidification of Binary Alloys10.3 Boiling and Evaporation10.3.1 Boiling Produced by Heating from Below10.3.2 Film Boiling10.3.2 Forced Convection with Evaporation10.4 Condensation<10.5 Spaces Filled with Fluid and Fibers Coated with a Phase-Change Material11 Geophysical Aspects11.1 Snow11.2 Patterned Ground11.3 Thawing Subsea Permafrost11.4 Magma Production and Magma Chambers11.5 Diagenetic Processes11.6 Oceanic Crust11.6.1 Heat Flux Distribution11.6.2 Topographical Forcing11.7 Geothermal Reservoirs: Injection and Withdrawal11.8 Other Aspects of Single-Phase Flow11.9 Two-Phase Flow11.9.1 Vapor-Liquid Counterflow11.9.2 Heat Pipes11.9.3 Other Aspects11.10 Cracks in Shrinking Solids11.11 Carbon Dioxide Sequestration11.12 Reaction Scenarios11.12.1 Reaction Fronts11.12 .2 Gradient Reactions11.12.3 Mixing ZonesReferencesIndex
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