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| Governing Equations | |
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| Basic Conservation Laws | |
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| Statistical and Continuum Methods | |
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| Eulerian and Lagrangian Coordinates | |
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| Material Derivative | |
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| Control Volumes | |
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| Reynolds' Transport Theorem | |
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| Conservation of Mass | |
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| Conservation of Momentum | |
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| Conservation of Energy | |
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| Discussion of Conservation Equations | |
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| Rotation and Rate of Shear | |
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| Constitutive Equations | |
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| Viscosity Coefficients | |
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| Navier-Stokes Equations | |
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| Energy Equation | |
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| Governing Equations for Newtonian Fluids | |
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| Boundary Conditions | |
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| Flow Kinematics | |
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| Flow Lines | |
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| Circulation and Vorticity | |
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| Stream Tubes and Vortex Tubes | |
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| Kinematics of Vortex Lines | |
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| Special Forms of the Governing Equations | |
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| Kelvin's Theorem | |
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| Bernoulli Equation | |
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| Crocco's Equation | |
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| Vorticity Equation | |
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| Ideal-Fluid Flow | |
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| Two-Dimensional Potential Flows | |
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| Stream Function | |
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| Complex Potential and Complex Velocity | |
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| Uniform Flows | |
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| Source, Sink, and Vortex Flows | |
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| Flow in Sector | |
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| Flow around Sharp Edge | |
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| Flow due to Doublet | |
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| Circular Cylinder without Circulation | |
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| Circular Cylinder with Circulation | |
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| Blasius Integral Laws | |
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| Force and Moment on Circular Cylinder | |
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| Conformal Transformations | |
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| Joukowski Transformation | |
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| Flow around Ellipses | |
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| Kutta Condition and Flat-Plate Airfoil | |
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| Symmetrical Joukowski Airfoil | |
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| Circular-Arc Airfoil | |
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| Joukowski Airfoil | |
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| Schwarz-Christoffel Transformation | |
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| Source in Channel | |
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| Flow through Aperture | |
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| Flow Past Vertical Flat Plate | |
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| Three-Dimensional Potential Flows | |
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| Velocity Potential | |
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| Stokes' Stream Function | |
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| Solution of Potential Equation | |
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| Uniform Flow | |
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| Source and Sink | |
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| Flow due to Doublet | |
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| Flow near Blunt Nose | |
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| Flow around Sphere | |
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| Line-Distributed Source | |
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| Sphere in Flow Field of Source | |
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| Rankine Solids | |
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| D'Alembert's Paradox | |
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| Forces Induced by Singularities | |
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| Kinetic Energy of Moving Fluid | |
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| Apparent Mass | |
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| Surface Waves | |
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| General Surface-Wave Problem | |
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| Small-Amplitude Plane Waves | |
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| Propagation of Surface Waves | |
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| Effect of Surface Tension | |
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| Shallow-Liquid Waves of Arbitrary Form | |
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| Complex Potential for Traveling Waves | |
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| Particle Paths for Traveling Waves | |
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| Standing Waves | |
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| Particle Paths for Standing Waves | |
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| Waves in Rectangular Vessels | |
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| Waves in Cylindrical Vessels | |
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| Propagation of Waves at Interface | |
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| Viscous Flows of Incompressible Fluids | |
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| Exact Solutions | |
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| Couette Flow | |
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| Poiseuille Flow | |
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| Flow between Rotating Cylinders | |
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| Stokes' First Problem | |
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| Stokes' Second Problem | |
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| Pulsating Flow between Parallel Surfaces | |
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| Stagnation-Point Flow | |
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| Flow in Convergent and Divergent Channels | |
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| Flow over Porous Wall | |
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| Low Reynolds Number Solutions | |
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| Stokes Approximation | |
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| Uniform Flow | |
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| Doublet | |
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| Rotlet | |
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| Stokeslet | |
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| Rotating Sphere in Fluid | |
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| Uniform Flow Past Sphere | |
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| Uniform Flow Past Circular Cylinder | |
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| Oseen Approximation | |
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| Boundary Layers | |
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| Boundary-Layer Thicknesses | |
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| Boundary-Layer Equations | |
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| Blasius Solution | |
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| Falkner-Skan Solutions | |
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| Flow over a Wedge | |
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| Stagnation-Point Flow | |
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| Flow in Convergent Channel | |
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| Approximate Solution for Flat Surface | |
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| General Momentum Integral | |
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| K��rm��n-Pohlhausen Approximation | |
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| Boundary-Layer Separation | |
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| Stability of Boundary Layers | |
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| Buoyancy-Driven Flows | |
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| Boussinesq Approximation | |
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| Thermal Convection | |
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| Boundary-Layer Approximations | |
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| Vertical Isothermal Surface | |
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| Line Source of Heat | |
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| Point Source of Heat | |
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| Stability of Horizontal Layers | |
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| Compressible Flow of Inviscid Fluids | |
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| Shock Waves | |
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| Propagation of Infinitesimal Disturbances | |
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| Propagation of Finite Disturbances | |
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| Rankine-Hugoniot Equations | |
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| Conditions for Normal Shock Waves | |
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| Normal-Shock-Wave Equations | |
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| Oblique Shock Waves | |
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| One-Dimensional Flows | |
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| Weak Waves | |
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| Weak Shock Tubes | |
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| Wall Reflection of Waves | |
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| Reflection and Refraction at Interface | |
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| Piston Problem | |
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| Finite-Strength Shock Tubes | |
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| Nonadiabatic Flows | |
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| Isentropic-Flow Relations | |
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| Flow through Nozzles | |
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| Multidimensional Flows | |
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| Irrotational Motion | |
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| Janzen-Rayleigh Expansion | |
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| Small-Perturbation Theory | |
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| Pressure Coefficient | |
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| Flow over Wave-Shaped Wall | |
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| Prandtl-Glauert Rule for Subsonic Flow | |
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| Ackeret's Theory for Supersonic Flows | |
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| Prandtl-Meyer Flow | |
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| Methods of Mathematical Analysis | |
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| Some Useful Methods of Analysis | |
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| Fourier Series | |
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| Complex Variables | |
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| Separation of Variable Solutions | |
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| Similarity Solutions | |
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| Group Invariance Methods | |
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| Vector Analysis | |
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| Vector Identities | |
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| Integral Theorems | |
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| Orthogonal Curvilinear Coordinates | |
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| Tensors | |
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| Notation and Definition | |
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| Tensor Algebra | |
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| Tensor Operations | |
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| Isotropic Tensors | |
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| Integral Theorems | |
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| Governing Equations | |
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| Cartesian Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Fourier Series | |
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| Thermodynamics | |
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| Zeroth Law | |
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| First Law | |
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| Equations of State | |
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| Enthalpy | |
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| Specific Heats | |
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| Adiabatic, Reversible Processes | |
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| Entropy | |
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| Second Law | |
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| Canonical Equations of State | |
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| Reciprocity Relations | |