• Cover (1)
• Thermo-Fluid Dynamics of Two-Phase Flow, Second Edition (3)
  • ISBN 9781441979841 (4)
  • Dedication (6)
  • Table of Contents (8)
  • Preface (14)
  • Foreword (16)
  • Acknowledgments (18)
• Chapter 1 INTRODUCTION (20)
  • 1.1 Relevance of the problem (20)
  • 1.2 Characteristic of multiphase flow (22)
  • 1.3 Classification of two-phase flow (24)
  • 1.4 Outline of the book (29)
• Chapter 2 LOCAL INSTANT FORMULATION (30)
  • 1.1 Single-phase flow conservation equations (32)
    • 1.1.1 General balance equations (32)
    • 1.1.2 Conservation equation (34)
    • 1.1.3 Entropy inequality and principle of constitutive law (37)
    • 1.1.4 Constitutive equation (39)
  • 1.2 Interfacial balance and boundary condition (43)
    • 1.2.1 Interfacial balance (Jump condition) (43)
    • 1.2.2 Boundary conditions at interface (51)
    • 1.2.3 Simplified boundary condition (57)
    • 1.2.4 External boundary condition and contact angle (62)
  • 1.3 Application of local instant formulation to two-phase flow problems (65)
    • 1.3.1 Drag force acting on a spherical particle in a very slow stream (65)
    • 1.3.2 Kelvin-Helmholtz instability (67)
    • 1.3.3 Rayleigh-Taylor instability (71)
• Chapter 3 VARIOUS METHODS OF AVERAGING (74)
  • 1.1 Purpose of averaging (74)
  • 1.2 Classification of averaging (77)
  • 1.3 Various Averaging in Connection with Two-Phase Flow Analysis (80)
• Chapter 4 BASIC RELATIONS IN TIME AVERAGING (86)
  • 1.1 Time domain and definition of functions (87)
  • 1.2 Local time fraction - Local void fraction (91)
  • 1.3 Time average and weighted mean values (92)
  • 1.4 Time average of derivatives (97)
  • 1.5 Concentrations and mixture properties (101)
  • 1.6 Velocity field (105)
  • 1.7 Fundamental identity (108)
• Chapter 5 TIME AVERAGED BALANCE EQUATION (112)
  • 1.1 General balance equation (112)
  • 1.2 Two-fluid model field equations (117)
  • 1.3 Diffusion (mixture) model field equations (122)
  • 1.4 Singular case of vni=0 (quasi-stationary interface) (127)
  • 1.5 Macroscopic jump conditions (129)
  • 1.6 Summary of macroscopic field equations and jump conditions (132)
  • 1.7 Alternative form of turbulent heat flux (133)
• Chapter 6 CONNECTION TO OTHER STATISTICAL AVERAGES (138)
  • 1.1 Eulerian statistical average (ensemble average) (138)
  • 1.2 Boltzmann statistical average (139)
• Chapter 7 KINEMATICS OF AVERAGED FIELDS (148)
  • 1.1 Convective coordinates and convective derivatives (148)
  • 1.2 Streamline (151)
  • 1.3 Conservation of mass (152)
  • 1.4 Dilatation (159)
• Chapter 8 INTERFACIAL TRANSPORT (162)
  • 1.1 Interfacial mass transfer (162)
  • 1.2 Interfacial momentum transfer (164)
  • 1.3 Interfacial energy transfer (168)
• Chapter 9 TWO-FLUID MODEL (174)
  • 1.1 Two-fluid model field equations (175)
  • 1.2 Two-fluid model constitutive laws (188)
    • 1.2.1 Entropy inequality (188)
    • 1.2.2 Equation of state (191)
    • 1.2.3 Determinism (196)
    • 1.2.4 Average molecular diffusion fluxes (198)
    • 1.2.5 Turbulent fluxes (200)
    • 1.2.6 Interfacial transfer constitutive laws (205)
  • 1.3 Two-fluid model formulation (217)
  • 1.4 Various special cases (224)
• Chapter 10 INTERFACIAL AREA TRANSPORT (236)
  • 1.1 Three-dimensional interfacial area transport equation (237)
    • 1.1.1 Number transport equation (238)
    • 1.1.2 Volume transport equation (239)
    • 1.1.3 Interfacial area transport equation (241)
  • 1.2 One-group interfacial area transport equation (246)
  • 1.3 Two-group interfacial area transport equation (247)
    • 1.3.1 Two-group particle number transport equation (248)
    • 1.3.2 Two-group void fraction transport equation (249)
    • 1.3.3 Two-group interfacial area transport equation (253)
    • 1.3.4 Constitutive relations (259)
• Chapter 11 CONSTITUTIVE MODELING OF INTERFACIAL AREA TRANSPORT (262)
  • 1.1 Modified two-fluid model for the two-group interfacial area transport equation (264)
    • 1.1.1 Conventional two-fluid model (264)
    • 1.1.2 Two-group void fraction and interfacial area transport equations (265)
    • 1.1.3 Modified two-fluid model (267)
    • 1.1.4 Modeling of two gas velocity fields (272)
  • 1.2 Modeling of source and sink terms in one-group interfacial area transport equation (276)
    • 1.2.1 Source and sink terms modeled by Wu et al. (1998) (278)
    • 1.2.2 Source and sink terms modeled by Hibiki and Ishii (2000a) (286)
    • 1.2.3 Source and sink terms modeled by Hibiki et al. (2001b) (294)
  • 1.3 Modeling of source and sink terms in two-group interfacial area transport equation (295)
    • 1.3.1 Source and sink terms modeled by Hibiki and Ishii (2000b) (296)
    • 1.3.2 Source and sink terms modeled by Fu and Ishii (2002a) (300)
    • 1.3.3 Source and sink terms modeled by Sun et al. (2004a) (309)
  • 1.4 Modeling of phase change terms in interfacial area transport equation (318)
    • 1.4.1 Active nucleation site density modeled by Kocamustafaogullari and Ishii (1983) and Hibiki and Ishii (2003b) (319)
    • 1.4.2 Bubble departure size modeled by Situ et al. (2008) (324)
    • 1.4.3 Bubble departure frequency modeled by Euh et al. (2010) (326)
    • 1.4.4 Sink term due to condensation modeled by Park et al. (2007) (326)
• Chapter 12 HYDRODYNAMIC CONSTITUTIVE RELATIONSFOR INTERFACIAL TRANSFER (334)
  • 1.1 Transient forces in multiparticle system (336)
  • 1.2 Drag force in multiparticle system (342)
    • 1.2.1 Single-particle drag coefficient (343)
    • 1.2.2 Drag coefficient for dispersed two-phase flow (349)
  • 1.3 Other forces (365)
    • 1.3.1 Lift force (365)
    • 1.3.2 Wall-lift (wall-lubrication) force (370)
    • 1.3.3 Turbulent dispersion force (371)
  • 1.4 Turbulence in multiparticle system (373)
• Chapter 13 DRIFT-FLUX MODEL (380)
  • 1.1 Drift-flux model field equations (381)
  • 1.2 Drift-flux (or mixture) model constitutive laws (390)
  • 1.3 Drift-flux (or mixture) model formulation (407)
    • 1.3.1 Drift-flux model (407)
    • 1.3.2 Scaling parameters (408)
    • 1.3.3 Homogeneous flow model (412)
    • 1.3.4 Density propagation model (413)
• Chapter 14 ONE-DIMENSIONAL DRIFT-FLUX MODEL (416)
  • 1.1 Area average of three-dimensional drift-flux model (417)
  • 1.2 One-dimensional drift velocity (422)
    • 1.2.1 Dispersed two-phase flow (422)
    • 1.2.2 Annular two-phase flow (433)
    • 1.2.3 Annular mist flow (438)
  • 1.3 Covariance of convective flux (441)
  • 1.4 One-dimensional drift-flux correlations for various flow conditions (446)
    • 1.4.1 Constitutive equations for upward bubbly flow (447)
    • 1.4.2 Constitutive equations for upward adiabatic annulus and internally heated annulus (447)
    • 1.4.3 Constitutive equations for downward two-phase flow (448)
    • 1.4.4 Constitutive equations for bubbling or boiling pool systems (448)
    • 1.4.5 Constitutive equations for large diameter pipe systems (449)
    • 1.4.6 Constitutive equations at reduced gravity conditions (450)
    • 1.4.7 Constitutive equations for rod bundle geometry (453)
    • 1.4.8 Constitutive equations for pool rod bundle geometry (455)
• Chapter 15 ONE-DIMENSIONAL TWO-FLUID MODEL (456)
  • 1.1 Area average of three-dimensional two-fluid model (457)
  • 1.2 Special consideration for one-dimensional constitutive relations (460)
    • 1.2.1 Covariance effect in field equations (460)
    • 1.2.2 Effect of phase distribution on constitutive relations (463)
    • 1.2.3 Interfacial shear term (465)
• Chapter 16 TWO-FLUID MODEL CONSIDERING STRUCTURAL MATERIALS IN A CONTROL VOLUME (468)
  • 1.1 Time-averaged two-fluid model (470)
  • 1.2 Local volume averaging operations (472)
    • 1.2.1 Definitions of parameters and averaged quantities (472)
    • 1.2.2 Some important theorems (474)
  • 1.3 Time-volume averaged two-fluid model formulation (475)
    • 1.3.1 Formulation with volume porosity only (475)
    • 1.3.2 Formulation with volume and surface porosities (480)
  • 1.4 Special consideration for time-volume averaged constitutive relations (485)
    • 1.4.1 Covariance effect in field equations (485)
    • 1.4.2 Effects of phase distribution on constitutive relations (486)
    • 1.4.3 Interfacial shear term (489)
    • 1.4.4 Relationship between surface and volume averaged quantities (490)
  • 1.5 Appendix (491)
• Chapter 17 ONE-DIMENSIONAL INTERFACIAL AREA TRANSPORT EQUATION IN SUBCOOLED BOILING FLOW (494)
  • 1.1 Formulation of interfacial area transport equation in subcooled boiling flow (495)
  • 1.2 Development of bubble layer thickness model (498)
• References (502)
• Nomenclature (514)
• Index (532)