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Flux & Circulation: Rigid body, circle

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 C the circle of radius r (0<r≤3). Instructions:
  • Drag the center of the circle (left) to change its position.
  • Activate animation by clicking on the boxes 'Particles' or 'Fluid'.
  • Change the radius by dragging the slider (right-bottom)
Note: The grey arrows are vectors representing the flux across the curve.