Show that: F1(x,y) =(−k/2π(x2+y2))*(yi−xj)
is a model for the velocity field of a counterclockwise vortex flow around the origin of strength kby confirming that1.
F1(x,y)has the four properties required of a counterclockwise vortex flow around the origin;2.
k is 2times the speed of the fluid along the unit circle.
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