Integral VF: Irrotational

Recall that if C is a piece-smooth, simple closed curve and v is a vector field in two dimensions; then

Net outward flux= and Circulation=

The following simulation shows some values of the net outward flux and circulation for  and different curves. Instructions:
  • Drag the center of the circle (left) to change its position.
  • Change curve: Line segment or semi-circle.
Note: The red arrow represent the unit vectors normal to the curve.