Fluid Mechanics/Differential Analysis of Fluid Flow

Sections Such as: This Chapter covers:
 * kinematic elements of flow
 * application of the concepts of stream function
 * charachterize simple flow fields
 * Analysis of Navier-Stokes equation.

Fluid Element Kinematics
Vorticity

$$\vec{\zeta} = 2 \vec{\omega} = {\vec{\nabla} \times \vec{V} } $$

Irrotational Flow
$$\underbrace{\frac{1}{2} ({\partial w \over \partial y }- {\partial v \over \partial z})}_{\omega_x}+ \underbrace{\frac{1}{2} ({\partial u \over \partial z }- {\partial w \over \partial x})}_{\omega_y}+ \underbrace{\frac{1}{2} ({\partial v \over \partial x }- {\partial u \over \partial y})}_{\omega_z} $$