Question

The transfer of wastewater from a shallow reservoir to an underground reservoir is done using gravi ty-driven flow through a smooth-walled pipe (see diagram below). In order to control the flow, the diameter is reduced slightly between the top and vertical sections of the pipe (a simple practical ap plication of the Bernoulls equation). The smooth walls of the pipe generate very little shear, so that the flow follows the Bernoulli equation very nearly exactly. You may neglect pressure losses at the bend (gradual bends have limited pressure losses). At the flow conditions, the density of the waste water is 1003 kg/m.Other parameters are as shown on the diagram. 04 mVs (a) Solve for the flow through the pipe find the inlet or outlet flow velocity, determine the other ve. locity, and then use either velecity to determine the volumetric flow rate through the pipe. (b) A manometer (as shown) is used to measure the pressure change between the points labeled ③ and ®. The process fluid is water, and the manonoter fluid is mercury with P-13502 kg/m. The manometer indicates a decrease in pressure from ③ to ④. Calculate the difference in height in the manometer. Chint: the pipes and tubes are filled with water, so the hydrostatic term pgz is irrele- 39 cm vant within the manometer system, except for the height difference within the manometer itsely) 270 mm atm 4.86 m 206 mm Patm ..E②

Answer 1

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d ag 8-1003 σ/m3 waten C3) 23 2x9.31 9.81 マメ9.81 100 ③ C又

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