The velocity field of a flow is given by (u=-V_{0} y /left(x^{2}+ ight.) (left.y^{2} ight)^{1 / 2})

The velocity field of a flow is given by \(u=-V_{0} y /\left(x^{2}+\right.\) \(\left.y^{2}\right)^{1 / 2}\) and \(v=V_{0} x /\left(x^{2}+y^{2}\right)^{1 / 2}\), where \(V_{0}\) is a constant. Where in the flow field is the speed equal to \(V_{0}\) ? Determine the equation of the streamlines and discuss the various characteristics of this flow.