Question: There is an inviscid 2D flow on a wall. In the middle of the wall, we punctured an infinitesimally small hole which drains the fluid

There is an inviscid 2D flow on a wall. In the middle of the wall, we punctured an infinitesimally small hole which drains the fluid at a constant volumetric flow rate Q. Far from the hole, the fluid has velocity U=Uyey. Derive analytical expressions for the fluid velocities near the hole. Schematically draw the velocity profile. Ignore gravity

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