Table of Contents:
- Kelvin’s Theorem on Constancy of Circulation
- State and Proof Permanence of Irrotational Motion
- Kinetic Energy
- Connectivity
- Reducible & Irreducible Circuits
- Simply and Multiply Connected Regions
- Reconcilable & Irreconcilable Circuit
- Kelvin’s Minimum Energy Theorem
- Kinetic Energy of Irrotational Flow
- Difference Between Acyclic Irrotational Motion and Cyclic Irrotational Motion
- Uniqueness Theorems Relating to Acyclic Irrotational Motion
- Vorticity Vector
- Vortex Line
- Differential Equation
- Flux as a Surface Integral
- Circulation in Rotational and Irrotational Motion
- Helmholtz Vorticity Theorems
- Complex Velocity Potential
- Infinite Row of Rectilinear Vortices
- Velocity Components
- Two infinite Rows of Rectilinear Vortices
- Karman’s Vortex Street
- Euler’s Equation of Motion
- The Navier Stokes Equation
- Some Exact Solutions of Navier’s Stokes Equations
- Axially Moving Concentric Cylinders
- Flow between two Concentric Rotating Cylinders
- Poiseuille Flow
- Maximum Velocity
- The Volumetric Flow Rate
- Shearing Stress
- Generalized Couetle Flow
- Average Maximum and Minimum Velocities
- Volumetric Flow Rate
- The Shearing Stress
- Flow Between two moving parallel plates
- Average Velocity
- The Hagen Poiseuille Flow
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