







FLUID CHARACTERISTICS
 (A)


What is a fluid?  (Aa)


Fluid properties  (Ab)

 
Pressure   (Aba)

 
Density   (Abb)

 
Compressibility
  (Abc)

  Viscosity
  (Abd)

  Surface Tension   (Ck)

  Contact Angle
  (Cn)


Thermodynamics  (Ac)

  Thermodynamic Variables   (Aca)

  Systems and Energies   (Acb)

  Thermodynamic Laws   (Acc)

  Perfect Gas   (Acd)

 
Saturated Vapor/Liquid Properties   (Ace)


 References





FLUID STATICS
 (C)

 Pressure  (Ca)

 Fluid statics  (Cb)

 Oceans at rest  (Cc)

 Manometers  (Cd)

 Atmospheres  (Ce)

 Fluid static forces  (Cf)

 Archimedes Principle  (Cg)

 Stability of a submerged body  (Ch)

 Archimedes Principle for a floating body  (Ci)

 Stability of a floating body  (Cj)

 Surface Tension  (Ck)

 Pressure differences due to Surface Tension  (Cm)

 Contact Angle  (Cn)

 Meniscus  (Cp)

 Capillarity  (Cq)


 References





BASIC FLUID DYNAMICS
 (B)

 Descriptions of Fluid Motion  (Ba)

 
Descriptions of Fluid Motions   (Baa)

 
Fluid Accelerations   (Bab)

 
Steady Flow   (Bac)

  Derivation of the Relation between the Time Derivatives   (Bad)

 
Transport Thereom   (Bae)

 Kinematics of Fluid Motion  (Bb)

 
Kinematics of Fluid Motions   (Bba)

 
Illustration of Fluid
Deformation   (Bbb)

 Conservation of Mass  (Bc)

 
Conservation of Mass   (Bca)

 
Control Volume   (Bcb)

 
Macroscopic form of Continuity   (Bcc)

 
Differential form of Continuity   (Bcd)

 
Continuity equation in various coordinate systems   (Bce)

 
Integral form of Continuity   (Bcf)

 
Streamlines, Pathlines and Streaklines   (Bcg)

 
Streamfunction   (Bch)

 
Examples of streamfunctions   (Bcj)

 Newton's Law  (Bd)

  Newton's Law of Motion   (Bda)

 
Euler's Equations of Motion   (Bdb)

 
Euler's Equations of Motion in Other Coordinates   (Bdc)

 
Vorticity   (Bdd)

 
Circulation   (Bde)

 
Kelvin's Theorem   (Bdj)

 
Velocity Potential   (Bdf)

  Bernoulli's Equation   (Bdg)

 
Energy Implications of Bernoulli's Equation   (Bdh)

 Momentum Theorem  (Be)

 
Linear Momentum Theorem   (Bea)

  Example: Arbitrary Duct   (Beb)

 
Example: Fire Hose Nozzle   (Bec )

 
Example: Fire Hose with Bend   (Bed)

 
Connection between drag and a wake   (Bee)

 
Jet Engine   (Bef)

 
Rocket Engine   (Beg)

 
Angular Momentum Theorem   (Beh)

 
Example: Pump or Turbine   (Bei)

 Steady onedimensional internal flows  (Bf)

 
Hydraulic System Analysis   (Bfa)

 
Viscous Losses in Incompressible Fluid Flows   (Bfb)

 
Viscous losses in pipes   (Bfc)

 
Viscous Losses in Fittings   (Bfd)

 
Diffusers and Nozzles   (Bfe)

 
Incompressible Flows with External Energy Exchange   (Bff)

 
Pumps and Turbines   (Bfg)

 
Turbomachine Design   (Bfh)

 
Turbomachine Performance   (Bfi)

 Unsteady onedimensional internal flows  (Bn)

 
Introduction   (Bna)

 
System Analysis   (Bnb)

 
Quasistatic Stability Analysis   (Bnc)

  
Quasistatic Stability Analyses    (Bnca)

  
Turbomachine Surge    (Bncb)

  
Ledinegg Instability    (Bncc)

  
Geyser Instability    (Bncd)

 
Unsteady Bernoulli Equation   (Bnd)

  
Unsteady Bernoulli Equation for a Pipe    (Bnda)

  
Manometer Oscillations    (Bndb)

 
Dynamic Instabilities   (Bne)

  
Dynamic Instabilities    (Bnea)

  
Cavitation Surge of Cavitating Pumps    (Bneb)

  
Condensation Oscillations and Chugging    (Bnec)

 
Time Domain Methods   (Bnf)

  
Time Domain Methods    (Bnfa)

  
Wave Propagation in Ducts    (Bnfb)

  
Method of Characteristics    (Bnfc)

 
Frequency Domain Methods   (Bng)

  
Frequency Domain Methods    (Bnga)

  
System with Rigid Body Vibration    (Bngk)

  
Order of the System    (Bngb)

  
Transfer Matrices    (Bngc)

  
Distributed Systems    (Bngd)

  
Combinations of Transfer Matrices    (Bnge)

  
Properties of Transfer Matrices    (Bngf)

  
Measurement of Transfer Matrices    (Bngl)

  
Some Simple Transfer Matrices    (Bngg)

  
Fluctuation Energy Flux    (Bngh)

  
NonCavitating Pumps    (Bngi)

  
Cavitating Inducers    (Bngj)

  
Cavitating Turbine    (Bngm)

  
Cavitating Propeller    (Bngn)

 Incompressible, Inviscid, Irrotational Flow  (Bg)

 
Potential Flow   (Bga)

 
Methods of Solution of Laplace's Equation   (Bgb)

 
Gravity Waves on a Liquid Surface   (Bgc)

  
Separation of Variables (Cartesian)    (Bgca)

  
Gravity Wave Boundary Conditions    (Bgcb)

   Gravity Waves on an Infinitely Deep Ocean    (Bgcc)

  
Gravity Waves on an FiniteDepth Ocean    (Bgcd)

   Standing Gravity Waves    (Bgce)

  
Gravity Waves at Vertical Boundaries    (Bgcf)

 
Fundamental Singularities   (Bgd)

  
Separation of Variables in Polar Coordinates    (Bgda)

  
Solution to Potential Flow in Polar Coordinates    (Bgdb)

   The Free Vortex    (Bgdc)

   Sources and Sinks    (Bgdd)

  
Planar Rankine HalfBodies    (Bgde)

  
Planar Doublet    (Bgdf)

  
Planar Rankine Body    (Bgdg)

   Potential Flow around a Cylinder    (Bgdh)

  
Cylinder with Circulation in a Uniform Stream    (Bgdi)

   Lift and Drag in Potential Flow    (Bgdj)

   Kelvin Ovals    (Bgdk)

   Vortex Sheets    (Bgdl)

   Images and Walls    (Bgdm)

  
Point Singularities    (Bgdn)

 
Methods of Complex Variables   (Bge)

  
CauchyRiemann Equations    (Bgea)

  
Complex Variables for Planar Potential Flows    (Bgeb)

  
Conformal Mapping    (Bgec)

  
Joukowski Airfoils    (Bged)

   Flat Plate at an Angle of Attack    (Bgee)

 
Axisymmetric Flow   (Bgf)

  
Axisymmetric Flow    (Bgfa)

  
Axisymmetric Flow without Swirl    (Bgfb)

  
Axisymmetric Flow with Swirl    (Bgfc)


General Equations of Motion  (Bh)

 
Stress Tensor   (Bha)

 
Equations of Motion in terms of Stress   (Bhb)

 
Constitutive Laws   (Bhc)

 
Constitutive Laws in Cylindrical Coordinates   (Bhd)

 
Constitutive Laws in Spherical Coordinates 
 (Bhe)

 
NavierStokes Equations 
 (Bhf)

 
NavierStokes Equations in Cylindrical Coordinates 
 (Bhg)

 
NavierStokes Equations in Spherical Coordinates 
 (Bhh)

 
Vorticity Transport Equation 
 (Bhi)

 Exact Solutions to
NavierStokes Equations  (Bi)

  Introduction to Exact Solutions of NavierStokes Equations   (Bia)

 
Couette and Planar Poiseuille Flow   (Bib)

 
Poiseuille Flow   (Bic)

 
Radial Flow   (Bid)

 
Vortex Flow   (Bie)

 
Rayleigh and Ekman Flow   (Bif)

 
Laminar Round Jet   (Big)

 
Category 2 Solutions   (Bih)


Boundary Layer
Flows  (Bj)

 
Introduction to Boundary Layer Flows   (Bja)

 
Laminar Boundary Layer Equations   (Bjb)

 
Exact Solutions to Laminar Boundary Layer Equations   (Bjc)

 
Blasius Solution   (Bjd)

 
FalknerSkan Solutions   (Bje)

 
Thicknesses and Surface Stress   (Bjf)

 
Development of Laminar Boundary Layers   (Bjg)

 
Karman Momentum Integral Equation   (Bjh)

 
Approximate Methods   (Bji)

 
Effect of Suction   (Bjj)

 Turbulence  (Bk)

 
Introduction to Turbulence   (Bka)

 
The Development of Turbulence   (Bkb)

 
Linear Stability Analyses   (Bkc)

 
Stability of Parallel Flows   (Bkd)

 
Amplification of Disturbances   (Bke)

 
Turbulence Spectra and Scales   (Bkf)

 
Reynolds Stresses   (Bkg)

 
Computing Turbulent Flows   (Bkn)

 
Turbulence Models   (Bkh)

 
Turbulent Couette Flow   (Bki)

 
Law of the Wall   (Bkj)

 
Turbulent Pipe Flows   (Bkl)

 
Rough Pipe Flows   (Bkm)

 
Turbulent Boundary Layers   (Bkk)

 Stokes Flow  (Bl)

 
Introduction to Stokes Flow   (Bla)

 
Equations of Stokes Flow   (Blb)

  Singularities   (Blc)

 
Slender Body Theory   (Bld)

 
Resistive Force Theory   (Ble)

 
Planar Flow   (Blf)

 
Axisymmetric Flow   (Blg)

 Unsteady Flows  (Bm)

 
Introduction   (Bma)

 
Added Mass   (Bmb)

  
Introduction    (Bmba)

  
Added Mass Matrix    (Bmbb)

  
Fluid Acceleration far from the Body    (Bmbc)

  
Values of the Added Mass    (Bmbd)

  
Added Mass for Joukowski Airfoils    (Bmbe)

  
Additional Effects on the Added Mass    (Bmbf)

 
Vortex Shedding   (Bmc)


Compressible Flow  (Bo)

 
Prelimaries for Compressible Flow   (Boa)

 
OneDimensional Isentropic Flow   (Bob)

 
Energy Equation   (Boc)

 
Speed of Sound   (Bod)

 
Isentropic Duct Flows   (Boe)

 
Choked Flow   (Bof)

 
Effect of Friction in Duct Flows   (Bog)

 
Shock Waves   (Boh)

 
Rocket Engines   (Boi)

 
Twodimensional Flows   (Boj)

 
Planar Supersonic Flows for Small Turn Angles   (Bok)

 
PrandtlMeyer Expansion Fan   (Bol)

 
Oblique Shock Wave   (Bom)

 
Compressible Potential Flow   (Bon)

 
Supersonic Potential Flow   (Boo)

 
PrandtlGlauert Mapping   (Bop)

 Open Channel Flow  (Bp)

 
Introduction to Open Channel Flows   (Bpa)

 
Gravity Waves Boundary Conditions   (Bgcb)

 
Gravity Waves on an Infinitely Deep Ocean   (Bgcc)

 
Gravity Waves on an FiniteDepth Ocean   (Bgcd)

 
Standing Waves   (Bgce)

 
Gravity Waves at Vertical Boundaries   (Bgcf)

 
Finite Amplitude Waves   (Bpb)

 
Hydraulic Jumps   (Bpc)

 
Frictionless Flow   (Bpd)

 
The Effect of Friction   (Bpe)

 
The Shallow Water Wave Equations   (Bpf)


 References





EXTERNAL FLOWS AROUND OBJECTS  (D)

 Introduction to External Flows  (Da)

  Introduction   (Daa)

  Forces on Objects   (Dab)

 Drag  (Db)

  Introduction to Drag   (Dba)

  Relation between drag and the wake   (Dbb)

  Drag on a sphere or cylinder   (Dbc)

  Vortex generators   (Dbd)

  Form Drag   (Dbe)

  Skin Friction Drag   (Dbf)

  Wave Drag   (Dbg)

  Effects of Rotation   (Dbh)

 Lift  (Dc)

  Introduction to Lift   (Dca)

  Magnus Effect   (Dcb)

  General Relation between Lift and the Circulation   (Dcc)

  Effects of Rotation   (Dch)

  The Flat Plate Airfoil   (Dcd)

  Planar Airfoil Performance   (Dce)

  Finite Span Performance   (Dcf)

  Aircraft Flight   (Dcg)

 Propulsion  (Dd)

  Introduction to Propulsion   (Dda)

  Drag Propulsion   (Ddb)

  Propulsion Efficiency   (Ddc)

  Propeller Propulsion   (Ddd)

  Jet Propulsion   (Dde)

  Rocket Propulsion   (Ddf)

 Vortex Shedding  (De)

  Introduction to Vortex Shedding   (Dea)

 Animal Locomotion  (Df)

  Introduction to Animal Locomotion   (Dfa)

  High Reynolds Number Locomotion   (Dfb)

  Fish Locomotion   (Dfd)

  Bird Flight   (Dfe)

  Low Reynolds Number Locomotion   (Dfc)

  Prokaryotic Locomotion   (Dff)

  Flagellar Locomotion   (Dfg)

  Ciliary Propulsion   (Dfh)

  Internal flows and Mucus Propulsion   (Dfi)


 References





FLUID FLOW MEASUREMENT
 (K)

 Preparation for Experiments  (Ka)

 Design of Experiments  (Kb)

 Experimental Techniques  (Kc)

  Introduction   (Kca)

  Auto and CrossCorrelation   (Kcb)

  Least Squares Fits   (Kcc)

 Instrumentation  (Kd)

 
Introduction   (Kda)

 
Flow Visualization   (Kdb)

  
Introduction    (Kdba)

  
Flow Tracers    (Kdbb)

  
Particle Image Velocimetry    (Kdbc)

  
Optical Techniques    (Kdbd)

 
Flow Rate and Velocity   (Kdc)

  
Introduction    (Kdca)

  
Measurements using Bernoulli's Equation    (Kdcb)

  
Electromagnetic Flow Meters    (Kdcc)

  
Laser Velocimetry    (Kdcd)

  
Acoustic Doppler Velocimetry    (Kdce)

 
Pressure, Stresses and Sound   (Kdd)

  
Introduction    (Kdda)

  
Manometers    (Kddb)

  
Strain Gauges    (Kddc)

  
Pressure Transducers    (Kddd)

  
Acoustic Pressures    (Kdde)

 
Forces   (Kde)

  
Introduction    (Kdea)

  
Force Balances    (Kdeb)

 
Acceleration and Vibration   (Kdf)

 
Other Fluid Measurements   (Kdg)


Some Facilities  (Ke)

 
Introduction   (Kea)

 
Wind Tunnels   (Keb)

 
Water Tunnels   (Kec)

 
Towing Tanks   (Ked)

 
Model Basins   (Kee)


 References





FLUID MACHINERY
 (M)

 Introduction  (Ma)

  Introduction   (Maa)

  Turbomachines    (Mab)

  Turbomachine Design    (Mac)

  Cavitation    (Mad)

  Unsteady Flows    (Mae)

 Pumps  (Mb)

  Introduction   (Mba)

  Types of Pumps   (Mbg)

 
Fluid Mechanics of Centrifugal and Axial Flow Pumps   (Mbb)

   Introduction
   (Mbbk)

   Geometric Notation    (Mbba)

   Cascades    (Mbbb)

   Flow Notation    (Mbbc)

   Specific Speed    (Mbbd)

   Pump Geometries    (Mbbe)

   Energy Balance    (Mbbf)

   Idealized Noncavitating Pump Performance    (Mbbg)

   Fourquadrant Performance    (Mbbj)

   Pumps in Parallel    (Mbbh)

   References

  Twodimensional Performance Analysis   (Mbc)

   Introduction    (Mbca)

   Linear Cascade Analyses    (Mbcb)

   Deviation Angle    (Mbcc)

   Viscous Effects in Linear Cascades    (Mbcd)

   Radial Cascade Analyses    (Mbce)

   Viscous Effects in Radial Flows    (Mbcf)

   References

  Other Flow Features   (Mbd)

   ThreeDimensional Flow Effects    (Mbdb)

   Radial Equilibrium Example    (Mbdc)

   Discharge Flow Management    (Mbdd)

   Prerotation    (Mbde)

   Other Secondary Flows    (Mbdf)

   References

  Cavitation   (Mbe)

   Introduction    (Mbea)

   Cavitation Parameters    (Mbeb)

   Cavitation Inception    (Mbec)

   Scaling of Cavitation Inception    (Mbed)

   Pump Performance    (Mbee)

   Types of Impeller Cavitation    (Mbef)

   Cavitation Inception Data    (Mbeg)

   Cavitation Bubble Dynamics    (Mbew)

   Cavitation Damage    (Mbeh)

   Mechanism of Cavitation Damage    (Mbex)

   Cavitation Noise    (Mbei)

   Cavitating Pump Performance    (Mbej)

   Inducer Designs    (Mbem)

   Inducer Performance    (Mben)

   Effects of Inducer Geometry    (Mbep)

   Analyses of Cavitation in Pumps    (Mbeq)

   Thermal Effect on Pump Performance    (Mber)

   Free Streamline Methods    (Mbes)

   Supercavitating Cascades    (Mbet)

   Partially Cavitating Cascades    (Mbeu)

   Cavitation Performance Correlations    (Mbev)

   References

  Pump Vibration   (Mbf)

   Introduction    (Mbfa)

   Frequencies of Oscillation    (Mbfb)

   Unsteady Flows    (Mbfc)

   Rotating Stall    (Mbfd)

   Rotating Cavitation    (Mbfe)

   Surge    (Mbff)

   Autooscillation    (Mbfg)

   RotorStator Interaction: Flow Patterns    (Mbfh)

   RotorStator Interaction: Forces    (Mbfi)

   Developed Cavity Oscillation    (Mbfj)

   Acoustic Resonances    (Mbfk)

   Blade Flutter    (Mbfm)

   Pogo Instabilities    (Mbfn)

   References

 Turbines  (Md)

  Introduction   (Mda)

  Types of Turbines   (Mdb)

  Pelton Wheel   (Mdc)

  Impulse and Reaction Turbines   (Mdd)

  Basic Fluid Mechanics of Turbines   (Mde)

  Twodimensional Analyses   (Mdi)

  Reaction Turbines   (Mdj)

  Propeller and Kaplan Turbines   (Mdf)

  Francis Turbine   (Mdg)

  Cavitation in Turbines   (Mdh)

 Fluid Couplings  (Me)

  Introduction 
 (Mea)

  Performance Analysis 
 (Meb)

  Reversible Fluid Coupling 
 (Mec)

 Rotordynamics of Fluid Machinery  (Mc)

  Introduction   (Mca)

  Notation   (Mcb)

  Hydrodynamic Bearings and Seals   (Mcc)

  Bearings at Low Reynolds Numbers   (Mcd)

  Annulus at High Reynolds Numbers   (Mce)

  Squeeze Film Dampers   (Mcf)

  Turbulent Annular Seals   (Mcg)

  Labyrinth Seals   (Mch)

  Blade Tip Rotordynamic Effects   (Mci)

  Steady Radial Forces   (Mcj)

  Effect of Cavitation   (Mck)

  Centrifugal Pumps   (Mcm)

  Moments and Lines of Action   (Mcn)

  Axial Flow Inducers   (Mcp)

 Propellers
 (Mf)

  Introduction 
 (Mfa)

  Propellers 
 (Mfb)

  Performance 
 (Mfc)

  Efficiency 
 (Mfd)

  Propeller Cavitation 
 (Mfe)

  Propeller Cavitation Damage 
 (Mff)

  Cavitation Performance 
 (Mfg)

  Dynamic Characteristics 
 (Mfh)

  References

 Flow Valves
 (Mg)

  Hydraulic Valves   (Mga)

  Hydraulic Control   (Mgb)


 References





MULTIPHASE FLOW
 (N)

 Introduction  (Na)

  Scope   (Naa)

  Multiphase Flow Models   (Nab)

  Multiphase Flow Notation   (Nac)

  Size Distributions   (Nad)

 Equations of Motion  (Nb)

  Averaging   (Nba)

  Conservation of Mass   (Nbb)

  Number Continuity Equation   (Nbc)

  Fick's Law   (Nbd)

  Equations of Motion   (Nbe)

  Disperse Phase Momentum Equation   (Nbf)

  On Disperse Phase Interaction   (Nbg)

  Equations for Conservation of Energy   (Nbh)

  Heat Transfer between Separated Phases   (Nbi)

 Interaction with turbulence
 (Nc)

  Particle and Turbulence   (Nca)

  Effect on Turbulence Stability   (Ncb)

 On the equations of motion  (Nd)

  Comments   (Nda)

  Averaging   (Ndb)

  Averaging Contributions to the Mean Motion   (Ndc)

  Averaging in Pipe Flows   (Ndd)

  Modeling with the Combined Phase Equations   (Nde)

  Mass, Force and Energy Interaction Terms   (Ndf)

 Single particle motion
 (Ne)

  Introduction   (Nea)

  Sphere Flow  High Reynolds Number   (Neb)

  Sphere Flow  Low Reynolds Number   (Nec)

  Molecular Effects   (Ned)

  Unsteady Particle Motions   (Nee)

  Effect of Concentration on Added Mass   (Nef)

  Unsteady Potential Flow   (Neg)

  Unsteady Stokes Flow   (Neh)

  Particle Equation of Motion   (Nei)

  Magnitude of Relative Motion   (Nej)

  Effect of Concentration on Particle Motion   (Nek)

  Effect of Concentration on Particle Drag   (Nel)


Bubble or droplet translation  (Nf)

  Introduction   (Nfa)

  Dimensional Analysis of Deformation due to Translation   (Nfb)

  Bubble Shapes and Terminal Velocities   (Nfc)

  Marangoni Effects   (Nfd)

  Bjerknes Forces   (Nfe)

  Growing Bubbles   (Nff)


Bubble growth and collapse  (Ng)

  Introduction   (Nga)

  RayleighPlesset Equation   (Ngb)

  Bubble Contents   (Ngc)

  In the Absence of Thermal Effects   (Ngd)

  Stability of Vapor/Gas Bubbles   (Nge)

  Thermal Effects on Growth   (Ngf)

  Thermally Controlled Growth   (Ngg)

  Cavitation and Boiling   (Ngh)

  Bubble Growth by Mass Diffusion   (Ngi)

  Bubble Natural Frequencies   (Ngj)

  Nonlinear Effects   (Ngk)

  Rectified Mass Diffusion   (Ngl)

 Cavitation  (Nh)

  Introduction   (Nha)

  Cavitation Inception   (Nhb)

  Cavitation Bubble Collapse   (Nhc)

  Shape during Bubble Collapse   (Nhd)

  Cavitation Damage   (Nhe)

  Cavitating Bubble Shapes   (Nhf)

  Cavitation Noise   (Nhg)

  Cavitation Luminescence   (Nhh)

 Boiling and Condensation  (Ni)

  Introduction   (Nia)

  Pool Boiling on Horizontal Surface   (Nib)

  Nucleate Boiling on Horizontal Surface   (Nic)

  Film Boiling on Horizontal Surface   (Nid)

  Leidenfrost Effect   (Nie)

  Boiling on Vertical Surface   (Nif)

  Film Boiling on Vertical Surface   (Nig)

  Condensation   (Nih)

  Film Condensation   (Nii)

 Flow patterns  (Nj)

  Multiphase Flow Patterns   (Nja)

  Examples of Flow Regime Maps   (Njb)

  Slurry Flow Regimes   (Njc)

  Vertical Pipe Flow   (Njd)

  Flow Pattern Classifications   (Nje)

  Disperse Phase Separation and Dispersion   (Njf)

  Example: Horizontal Pipe Flow   (Njg)

  Particle Size and Particle Fission   (Njh)

  Examples of Flowdetermined Bubble Size   (Nji)

  Bubbly or Mist Flow Limits   (Njj)

  Other Bubbly Flow Limits   (Njk)

  Other Particle Size Effects   (Njl)

  Stability of Disperse Mixtures   (Njm)

  Inhomogeneity Instability of Vertical Flows   (Njn)

  KelvinHelmholtz Instability   (Njo)

  Stratified Flow Instability   (Njp)

  Annular Flow Instability   (Njq)

 Energy conversion  (Nk)

  Introduction   (Nka)

  Disperse Horizontal Flow Friction   (Nkb)

  Homogeneous Flow Friction   (Nkc)

  Heterogeneous Flow Friction   (Nkd)

  Vertical Flow Friction   (Nke)

  Two Component Separated Flow Friction   (Nkf)

  Friction with Phase Change   (Nkg)

  Multiphase Flow in Pumps   (Nkh)

 Homogeneous Flows  (Nl)

  Introduction   (Nla)

  Sonic Speed   (Nlb)

  Sonic Speed at Higher Frequencies   (Nlc)

  Sonic Speed with Phase Change   (Nld)

  Barotropic Relations   (Nle)

  Nozzle Flows   (Nlf)

  Vapor/Liquid Nozzle Flow   (Nlg)

  Condensation Shocks   (Nlh)

 Flows with bubble dynamics  (Nm)

  Introduction   (Nma)

  Basic Equations   (Nmb)

  Acoustics of Bubbly Mixtures   (Nmc)

  Comparison with Experiments   (Nmd)

  Normal Shock Waves in Bubbly Flows   (Nme)

  Shock Waves Structure   (Nmf)

  Oblique Shock Waves   (Nmg)

  Spherical Bubble Cloud Modes   (Nmh)

  Spherical Bubble Cloud Response   (Nmi)

 Flows with gas dynamics  (Nn)

  Introduction   (Nna)

  Equations for a Dusty Gas   (Nnb)

  Homogeneous Flow with Gas Dynamics   (Nnc)

  Velocity and Temperature Relaxation   (Nnd)

  Normal Shock Wave   (Nne)

  Acoustic Damping   (Nnf)

  Linear Stability of Laminar Flow   (Nng)

  Flow over a Wavy Wall   (Nnh)

  Small Slip Perturbation   (Nni)

 Sprays  (No)

  Introduction   (Noa)

  Ocean Spray   (Nob)

  Spray Formation by Bubbling   (Noc)

  Spray Formation by Wind Shear   (Nod)

  Spray Formation by Initially Laminar Jets   (Noe)

  Spray Formation by Turbulent Jets   (Nof)

  Single Droplet Mechanics   (Nog)

  Single Droplet Combustion   (Noh)

  Spray Combustion   (Noi)

 Granular flows  (Np)

  Introduction   (Npa)

  Particle Interaction Models   (Npb)

  Computer Simulations   (Npc)

  Flow Regimes   (Npd)

  Flow Regime Rheologies   (Npe)

  Flow Regime Boundaries   (Npf)

  Slow Granular Flow   (Npg)

  MohrCoulomb Models   (Nph)

  Hopper Flows   (Npi)

  Rapid Granular Flow   (Npj)

  Examples of Rapid Flow Equations   (Npk)

  Boundary Conditions   (Npl)

  Rapid Flow Simulations   (Npm)

  Effect of Interstitial Fluid   (Npn)

  Particle Collisions   (Npo)

  Classes of Interstitial Fluid Effects   (Npp)

 Drift flux models
 (Nq)

  Introduction   (Nqa)

  Drift Flux Method   (Nqb)

  Vertical Pipe Flow   (Nqc)

  Fluidized Bed   (Nqd)

  Pool Boiling Crisis   (Nqe)

  Corrections for Pipe Flows   (Nqf)

 System instablities  (Nr)

  Introduction   (Nra)

  System Structure   (Nrb)

  Quasistatic Stability   (Nrc)

  Turbomachine Surge   (Nrd)

  Ledinegg Instability   (Nre)

  Geyser Instability   (Nrf)

  Concentration Waves   (Nrg)

  Dynamic Instabilities   (Nrh)

  Cavitation Surge in Pumps   (Nri)

  Chugging and Condensation Oscillations   (Nrj)

  Unsteady Internal Flow Methods   (Nrk)

  Transfer Functions   (Nrl)

  Uniform Homogeneous Flow   (Nrm)

 Kinematic waves  (Ns)

  Introduction   (Nsa)

  Kinematic Wave Analysis   (Nsb)

  Kinematic Wave Speed at Flooding   (Nsc)

  Kinematic Waves in Steady Flows   (Nsd)

  Kinematic Shock Waves   (Nse)

  Kinematic Shock Stability   (Nsf)

  Compressibility and Phase Change Effects   (Nsg)

  Batch Sedimentation   (Nsh)

  Dynamics of Cavitating Pumps   (Nsi)

  Twodimensional Shocks   (Nsj)


 References





NUMERICAL METHODS
 (O)

  Numerical Methods  (Oa)

  Boundary Integral Methods  (Ob)

  Finite Difference Methods  (Oc)

  Finite Differences Example  (Od)

  Finite Element Methods  (Oe)


 References
