Consider an incompressible, two-dimensional flow in the r-y plane. The velocity com-ponents in this flow are given byU =Cyx² + y²and v=-Cxx² + y²where C is a constant.(a) Prove that this flow is physically possible.(b) Find the equation of the streamlines.(c) Plot some streamlines to show what the flow pattern looks like.

Given Data: Let us consider the given data, u=Cyx2+y2v=-Cxx2+y2

Consider an incompressible, two-dimensional flow in the x-y plane. The velocity com- ponents in this flow are given by u = Cy x² + y² and v= -Cr x² + y² where C is a constant. (a) Prove that this flow is physically possible. (b) Find the equation of the streamlines. (c) Plot some streamlines to show what the flow pattern looks like.

Consider an incompressible, two-dimensional flow in the x-y plane. The velocity com- ponents in this flow are given by u = Cy x² + y² and v= -Cr x² + y² where C is a constant. (a) Prove that this flow is physically possible. (b) Find the equation of the streamlines. (c) Plot some streamlines to show what the flow pattern looks like.