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