Flow Analysis and Engineering

  1. Governing Equations of Fluid Dynamics
    1. Kinematics of Fluid Motion
      1. Lagrangian and Eulerian Descriptions
        1. Particle Tracking
          1. Control Volume Analysis
            1. Advantages and Applications
            2. Flow Fields and Flow Lines
              1. Streamlines
                1. Definition and Visualization
                  1. Mathematical Description
                  2. Pathlines
                    1. Particle Trajectories
                      1. Relationship to Streamlines
                      2. Streaklines
                        1. Experimental Visualization
                          1. Time-Dependent Flows
                        2. Velocity and Acceleration Fields
                          1. Local Acceleration
                            1. Convective Acceleration
                              1. Material Derivative
                                1. Acceleration Components
                                2. Deformation and Rotation
                                  1. Rate of Strain Tensor
                                    1. Vorticity and Circulation
                                      1. Definition of Vorticity
                                        1. Physical Interpretation
                                          1. Kelvin's Circulation Theorem
                                          2. Rotational and Irrotational Flow
                                        2. Integral Form of Conservation Laws
                                          1. The Reynolds Transport Theorem
                                            1. Control Volume Approach
                                              1. Application to Conservation Laws
                                                1. Moving Control Volumes
                                                2. Conservation of Mass
                                                  1. Integral Continuity Equation
                                                    1. Steady Flow Applications
                                                      1. Unsteady Flow Applications
                                                      2. Conservation of Linear Momentum
                                                        1. Control Volume Analysis
                                                          1. Forces on Control Volumes
                                                            1. Momentum Equation Applications
                                                            2. Conservation of Angular Momentum
                                                              1. Rotational Effects in Fluids
                                                                1. Applications in Turbomachinery
                                                                  1. Torque and Angular Momentum
                                                                  2. Conservation of Energy
                                                                    1. Energy Equation for Control Volumes
                                                                      1. Shaft Work and Heat Transfer
                                                                        1. Steady Flow Energy Equation
                                                                      2. Differential Form of Conservation Laws
                                                                        1. The Continuity Equation
                                                                          1. Derivation from First Principles
                                                                            1. Incompressible Flow Form
                                                                              1. Compressible Flow Form
                                                                                1. Cylindrical and Spherical Coordinates
                                                                                2. The Momentum Equation
                                                                                  1. Cauchy's Equation
                                                                                    1. Stress Tensor in Fluids
                                                                                      1. Body Forces
                                                                                        1. Surface Forces
                                                                                        2. The Energy Equation
                                                                                          1. Internal Energy Terms
                                                                                            1. Kinetic Energy Terms
                                                                                              1. Potential Energy Terms
                                                                                                1. Heat and Work Interactions
                                                                                              2. The Navier-Stokes Equations
                                                                                                1. Derivation and Physical Meaning
                                                                                                  1. Assumptions and Approximations
                                                                                                    1. Physical Interpretation of Terms
                                                                                                      1. Vector and Component Forms
                                                                                                      2. Applications and Limitations
                                                                                                        1. Validity for Different Flow Regimes
                                                                                                          1. Challenges in Solving
                                                                                                            1. Computational Requirements
                                                                                                            2. Exact Solutions
                                                                                                              1. Couette Flow
                                                                                                                1. Velocity Profile
                                                                                                                  1. Shear Stress Distribution
                                                                                                                  2. Poiseuille Flow
                                                                                                                    1. Laminar Pipe Flow
                                                                                                                      1. Pressure Drop and Flow Rate
                                                                                                                      2. Stokes Flow
                                                                                                                        1. Oscillating Flows

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                                                                                                                    1. Fundamentals of Fluid Motion

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                                                                                                                    3. Analysis of Flow Regimes and Phenomena