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Question 5 (a) Draw the sketch that explain the changes occurs in the flow through oblique and normal shock waves? (5 marks) (b) The radial velocity component in an incompressible, two-dimensional flow (v, = 0) is: V, = 2r + 3r2 sin e Determine the corresponding tangential velocity component (ve) required to satisfy conservation of mass. (10 marks) (c) Air enters a square duct through a 1.0 ft opening as is shown in figure 5-c. Because the boundary layer displacement thickness increases in the direction of flow, it is necessary to increase the cross-sectional size of the duct if a constant U = 2.0 ft/s velocity is to be maintained outside the boundary layer. Plot a graph of the duct size, d, as a function of x for 0.0 SX S10 ft, if U is to remain constant. Assume laminar flow. The kinematic viscosity of air is v = 1.57 x 10-4 ft2/s. (10 marks) U= 2 ft/s 1 ft dux) 2 ft/s