A2 (25 points) Flow across a long building of semi-circular cross-section can be taken to be two dimensional, inviscid a

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A2 25 Points Flow Across A Long Building Of Semi Circular Cross Section Can Be Taken To Be Two Dimensional Inviscid A 1 (40.09 KiB) Viewed 37 times

A2 (25 points) Flow across a long building of semi-circular cross-section can be taken to be two dimensional, inviscid and incompressible. U Poo The building has radius a and the flow at large distances has pressure poo and speed U perpendicular to the axis of the building. You may use, without proof, the result that S* sin sinde = 4/3 (a) Write down the complex velocity potential for the flow in any plane perpendicular to the axis of the building. You may find it convenient to consider the complex velocity potential for the flow past a cylinder of radius a. (b) Show that the flow field in part (a) satisfies the appropriate boundary condition on the ground, the building and at large distances. (c) Obtain the force (per unit length in the axial direction) on the exterior of the building.