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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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Kï¿½ï¿½rmï¿½ï¿½n-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 | |