A building, in the form of a circular cylinder of diameter 20m and height 100m , is to be constructed at the coast. The centre of the building is to be located 15m west of a beach which faces directly east. Assume that there are no adjacent buildings, that the air flow around the building is two dimensional and that the ideal flow model is appropriate. The atmospheric pressure is 105Pa and the air temperature is 15. For a 20m/s south-east wind, obtain
1.The stream function and the velocity potential for the flow about the building;
2.The magnitude of the velocity and the pressure at the point on the beach that lies immediately in front of the building;
3.The magnitude of the velocity and the pressure at any point on the surface of the building;
4.The total lift and drag forces on the building.
