Aerodynamics

  1. Incompressible, Inviscid Flow
    1. Bernoulli's Equation
      1. Derivation from Euler's Equation
        1. Physical Interpretation
          1. Assumptions and Limitations
            1. Steady Flow
              1. Inviscid Flow
                1. Incompressible Flow
                  1. Along Streamline
                  2. Pressure Terms
                    1. Static Pressure
                      1. Dynamic Pressure
                        1. Total Pressure
                        2. Applications of Bernoulli's Equation
                          1. Pitot Tubes
                            1. Venturi Meters
                              1. Flow Around Bodies
                            2. Potential Flow Theory
                              1. Velocity Potential
                                1. Relationship to Velocity
                                2. Stream Function
                                  1. Relationship to Velocity
                                  2. Laplace's Equation
                                    1. Derivation
                                      1. Solutions
                                      2. Boundary Conditions
                                        1. Solid Wall Conditions
                                          1. Far-Field Conditions
                                        2. Elementary Flow Solutions
                                          1. Uniform Flow
                                            1. Velocity Potential
                                              1. Stream Function
                                              2. Source Flow
                                                1. Point Source
                                                  1. Line Source
                                                    1. Flow Patterns
                                                    2. Sink Flow
                                                      1. Point Sink
                                                        1. Flow Patterns
                                                        2. Doublet Flow
                                                          1. Formation from Source-Sink Pair
                                                            1. Flow Patterns
                                                            2. Vortex Flow
                                                              1. Point Vortex
                                                                1. Circulation
                                                                  1. Flow Patterns
                                                                2. Superposition of Elementary Flows
                                                                  1. Principle of Superposition
                                                                    1. Flow over a Cylinder
                                                                      1. Uniform Flow plus Doublet
                                                                        1. Stagnation Points
                                                                          1. Pressure Distribution
                                                                            1. Circulation Effects
                                                                              1. Magnus Effect
                                                                                1. Lift Generation
                                                                              2. Flow over a Rankine Oval
                                                                                1. Source-Sink Combination
                                                                                  1. Body Shape Control
                                                                                2. Circulation and Vorticity
                                                                                  1. Circulation Definition
                                                                                    1. Vorticity Definition
                                                                                      1. Kelvin's Circulation Theorem
                                                                                        1. Kutta-Joukowski Theorem
                                                                                          1. Statement and Derivation
                                                                                            1. Application to Lift Generation
                                                                                              1. Relationship to Circulation
                                                                                            2. D'Alembert's Paradox
                                                                                              1. Statement of Paradox
                                                                                                1. Physical Explanation
                                                                                                  1. Implications for Real Flows
                                                                                                    1. Resolution through Viscosity

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                                                                                                  3. Fundamental Principles of Fluid Dynamics

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                                                                                                  5. Incompressible, Viscous Flow