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Consider a two-dimensional ideal flow in the x-y plane (with radial coordinate r2 = x2 +...

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Advance Math

Consider a two-dimensional ideal flow in the x-y plane (withradial coordinate r2 = x2 + y2). Given the velocity potentials of1) a uniform flow, 2) a source φ = (q/2π) ln r, and 3) a dipole φ =−d · r/(2πr2):

a) Using the principle of superposition, construct a linearcombination of the ingredients above that gives the flow past aninfinite cylinder. [10 points]

b) Sketch the streamlines of the flow everywhere in space. [10points]

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