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6 Question 5: Flow through a Sudden Expansion and Sudden Contraction Pipe 1, a smaller diameter pipe, is connected to a larger diameter pipe, Pipe 2; the connection between the two pipes is abrupt or sudden. Section 1 is located on the smaller diameter Pipe 1 and Section 2 is located on the larger diameter Pipe 2. Both Sections 1 and 2 are located sufficiently far away from the sudden pipe join that any locally generated flow disturbance has negligible effect on the two manometer readings. In other words, the streamlines are straight and parallel to each other at Sections 1 and 2 There are two parts to this question: (i) Sudden erpansion with the low from Pipe 1 on the left to Pipe 2 on the right, and (ii) Sudden contraction with the flow from Pipe 2 on the right to Pipe 1 on the left. For both cases, irrespective of the flow direction, the positiveェ-axis is to be taken to be from left to right See Figure 5 2. 0 55m 3-0 m/s Pipe 2 Figure 5: Abrupt connection between two pipes with different diameters. Data for when the flow passes from left to right as well as from right to left A1 = 1 m2 (cross-sectional area of snnaller diameter pipe) A2 = 3m2 (cross-sectional area of larger diameter pipe) u1-3m/s (velocity magnitude in smaller diameter pipe) Manometer reading at Section 1 is 0.55m
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