The velocity vector field for the two-dimensional flow of an ideal fluid around a
Chapter 9, Problem 43(choose chapter or problem)
The velocity vector field for the two-dimensional flow of an ideal fluid around a cylinder is given by [( x2 y2 ) 2xy ] F -A 1 (x, Y) - (x2 + y2)2 1 (x2 + y2)2 J for some positive constant A. See FIGURE 9.7 .9. (a) Show that when the point (x, y) is far from the origin, F(x,y) =Ai. (b) Show that F is irrotational. (c) Show that Fis incompressible.
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