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Question: an incompressible irrotational newtonian fluid approaches a stationary cylinder of...

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An incompressible, irrotational Newtonian fluid approaches a stationary cylinder of radius a with a uniform, steady velocity, Do, as shown below. Assume the flow is laminar and steady. Answer the following questions 3. (a) This problem can be solved by the Laplaces equation of stream function, H. Explain? (4%) (b) Write down the boundary conditions. (4%) (c) Derive the stream function. The velocity components are given below. (7%) 1 ay ay (d) The streamlines and velocity potential lines were plotted as shown below. Please explain why both the streamlines and velocity potential lines are perpendicular to each other. (4%)

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