Question 3 a) Water (density 1000 kg m?³) flows up a tapered circular pipe which is inclined at 45° to the horizontal. The pipe tapers smoothly from a diameter of 80.0 mm, at entry to the tapered section, to a value of 40.0mm, at the exit of the tapered section, over a pipe length of 1.0 m. A mercury (density 13560 kg m?³) filled U-tube differential manometer is connected, by tubes full of water, to the entry and exit of the tapered section. The velocity of the water entering the tapered section is 3.0 ms?¹. i) Sketch the flow configuration. [3 marks] ii) Calculate the velocity of the water exiting the tapered section. [4 marks] iii) Calculate the difference in static pressure between the entry and exit of the tapered section. [4 marks] iv) Calculate the height difference indicted by the manometer. [4 marks] v) Calculate the magnitude and direction of the force the fluid exerts on the pipe as a result of the taper. Assume that the volume of fluid contained within the taper is equal to 0.012m³ and that the pressure at the entry to the taper is 100 kPa. [8 marks] vi) State any assumptions you have made regarding the properties of the fluid or characteristics of the flow when performing your calculations [2 marks]
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The pipe diameter decreases from 80mm at the entry to 40mm at the exit. A U-tube manometer filled with mercury is connected to the entry and exit of the tapered section. ii) The velocity of the water exiting the tapered section can be calculated using the Show more…
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