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Al A pipeline carrying heavy oil with a specific gravity of SGo-0 8 and a tank containing slightly compressed air are connected through a manometer filled with mercury

Al A pipeline carrying heavy oil with a specific gravity of SGo-0.8 and a tank containing slightly compressed air are connected through a manometer filled with mercury, SGM 13.6 and a reservoir as shown in Fig. 1. The ratio of reservoir diameter D to pipe diameter d is D/d-2 Air ho Dill Mercury Figure 1: Manometer connecting pipeline and air tank. Drawing not to scale. The oil-mercury interface is at height ho-50cm below the centre of the pipeline, the difference in mercury levels is hM = 30 cm. The diameter of the manometer tubing is constant. a) The gauge pressure of the air is measured at PA-55 kPa. Derive an equation for the pressure po at the centre of the pipeline, then calculate the value of po [8 marks) b) While the pressure in the oil pipeline is kept the same as in a), the air pressure pA is changed such that the mercury-air interface drops by 20cm i) Derive a relation of the changes in fluid level to each other ii Derive an equation that relates the air pressure to the manometer height hu and the oil pressure Use that to compute the air pressure Pair for the new mercury levels. Question Al A pipeline carrying heavy oil with a specific gravity of SGo-0.8 and a tank containing slightly compressed air are connected through a manometer filled with mercury, SGM 13.6 and a reservoir as shown in Fig. 1. The ratio of reservoir diameter D to pipe diameter d is D/d-2 Air ho Dill Mercury Figure 1: Manometer connecting pipeline and air tank. Drawing not to scale. The oil-mercury interface is at height ho-50cm below the centre of the pipeline, the difference in mercury levels is hM = 30 cm. The diameter of the manometer tubing is constant. a) The gauge pressure of the air is measured at PA-55 kPa. Derive an equation for the pressure po at the centre of the pipeline, then calculate the value of po [8 marks) b) While the pressure in the oil pipeline is kept the same as in a), the air pressure pA is changed such that the mercury-air interface drops by 20cm i) Derive a relation of the changes in fluid level to each other ii Derive an equation that relates the air pressure to the manometer height hu and the oil pressure Use that to compute the air pressure Pair for the new mercury levels.

Apr 27 2020 View more View Less

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