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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.

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Consider an incompressible, two-dimensional flow in the r-y plane. The velocity com- ponents in this flow are given by U = Cy x² + y² and v= -Cx 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.
Transcribed Image Text:Consider an incompressible, two-dimensional flow in the r-y plane. The velocity com- ponents in this flow are given by U = Cy x² + y² and v= -Cx 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.
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