Aerodynamics

  1. Fundamental Principles of Fluid Dynamics
    1. The Fluid as a Continuum
      1. Continuum Hypothesis
        1. Molecular vs. Continuum View
          1. Knudsen Number
            1. Validity Limits
            2. Fluid Properties
              1. Density
                1. Pressure
                  1. Temperature
                    1. Velocity
                  2. Flow Characterization
                    1. Temporal Classification
                      1. Steady Flow
                        1. Unsteady Flow
                          1. Quasi-Steady Flow
                          2. Spatial Classification
                            1. Uniform Flow
                              1. Non-uniform Flow
                              2. Dimensional Classification
                                1. One-Dimensional Flow
                                  1. Two-Dimensional Flow
                                    1. Three-Dimensional Flow
                                    2. Flow Visualization
                                      1. Streamlines
                                        1. Streaklines
                                          1. Pathlines
                                            1. Timeline
                                            2. Flow Regimes
                                              1. Laminar Flow
                                                1. Turbulent Flow
                                                  1. Transitional Flow
                                                    1. Reynolds Number
                                                      1. Critical Reynolds Numbers
                                                        1. Transition Criteria
                                                    2. Fundamental Conservation Laws
                                                      1. Conservation of Mass
                                                        1. Continuity Equation
                                                          1. Differential Form
                                                            1. Integral Form
                                                            2. Application to Control Volumes
                                                              1. Incompressible Flow Simplification
                                                              2. Conservation of Momentum
                                                                1. Newton's Second Law for Fluids
                                                                  1. Momentum Equation
                                                                    1. Differential Form
                                                                      1. Integral Form
                                                                      2. Body Forces and Surface Forces
                                                                      3. Conservation of Energy
                                                                        1. First Law of Thermodynamics
                                                                          1. Energy Equation
                                                                            1. Internal Energy
                                                                              1. Kinetic Energy
                                                                                1. Potential Energy
                                                                                2. Mechanical Energy Equation
                                                                                  1. Enthalpy
                                                                                3. Governing Equations of Fluid Motion
                                                                                  1. Euler Equations
                                                                                    1. Inviscid Flow Assumptions
                                                                                      1. Equation Derivation
                                                                                        1. Applications and Limitations

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                                                                                    2. Properties of the Atmosphere

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                                                                                    4. Incompressible, Inviscid Flow