An ideal fluid flows past an infinitely long semicircular “hump” located along a plane b...

An ideal fluid flows past an infinitely long semicircular “hump” located along a plane boundary as shown in Fig. P6.51. Far from the hump the velocity field is uniform, and the pressure is p₀. (a) Determine expressions for the maximum and minimum values of the pressure along the hump, and indicate where these points are located. Express your answer in terms of p, U, and p₀. (b) If the solid surface is the ψ = 0 streamline, determine the equation of the streamline passing through the point