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Flux & Circulation: Circle & Square

Topic:
Circle, Square
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  with C the circle of radius r (0≤r≤3) and C a square of side s (0≤s≤4) Instructions:
  • Drag the point (left-side screen) to change the position of the curve C.
  • Change the radius or side by dragging the slider Radius/Side.