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

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

Conservation of Mass

Inviscid Flow

Irrotational Flow

$\underbrace {{\frac {1}{2}}({\partial w \over \partial y}-{\partial v \over \partial z})} _{\omega _{x}}+\underbrace {{\frac {1}{2}}({\partial u \over \partial z}-{\partial w \over \partial x})} _{\omega _{y}}+\underbrace {{\frac {1}{2}}({\partial v \over \partial x}-{\partial u \over \partial y})} _{\omega _{z}}$

Navier-Stokes Equations

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