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2(a) A luid with kinematic viscosity 1.45x10* mls enters a smooth pipe of internal diameter d- 25 mm and length L-5 m. i) Sketch the velocity profile across a diameter of the pipe at 0, 1, 2, 3 and 4 m from the pipe entrance for U- 1 m/s (you may assume that the pipe has a bell mouth entrance for smooth unseparated flow entry). Also sketch a graph of the centre-line velocity Uma against the distance x measured from the pipe entrance. (ii) Redo the sketches for T-3 m/s and explain any differences. [10 marks] (b) Figure 2.1 shows a two-dimensional body that is set in a zero incidence, uniform this body is shown in Figure 2.2. Sketch both figures and indicate on your sketch of Figure 2.2: The stagnation point(s) and the regions of favourable and adverse pressure flow. The distribution of the pressure coefficient Cp recorded for gradient. Suggest what is happening at points A and B and indicate their location on your sketch of Figure 2.1 (i) Given that the form drag coefficient is related to the distribution of the and that the total drag coefficient is 0.16, determine the proportion of the total drag attributable to skin pressure coefficient on the surface by: Cp c friction. L/10 Figure 2.1
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