6. You are to design quonset huts for Doctors Without Borders in West Africa. The design wind speed is U. 100 ft/s and the freestream conditions are those for standard sea level conditions (p=0.002377 slug/ft³ and P, 2116 lbf/ft2). The quonset hut may be considered to be a closed (no leaks) semicylinder, whose radius is 15 ft, mounted on tie- down blocks, as shown in the figure below. = R-15 n P-P Tie down Tie down The flow is such that the velocity distribution and, thus, the pressure distribution over the top of the hut (the semicircle of the sketch) is represented by the following potential function assuming incompressible, inviscid, irrotational flow: 0 = Urcose + B Coso The air under the hut is at rest and the pressure is equal to the stagnation pressure Pt = Po + PU. The presence of the air space under the hut can be neglected when calculating the flow over the hut. a) For an inviscid flow what is the boundary condition for velocity vector on solid walls? Obtain the expressions for velocity components on the quonset surface. b) Find B in terms of R and U... What is the value of B for the 15-ft-radius (R) quonset hut? c) What is the net lift force acting on the quonset hut? d) What is the net drag force acting on the quonset hut?