[TOTAL MARKS: 25) QUESTION 3 Consider the pipe network, sketched in Fig. 3, which is used to extract water from a storag

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Total Marks 25 Question 3 Consider The Pipe Network Sketched In Fig 3 Which Is Used To Extract Water From A Storag 1 (44.23 KiB) Viewed 31 times

[TOTAL MARKS: 25) QUESTION 3 Consider the pipe network, sketched in Fig. 3, which is used to extract water from a storage tank using a valve to control the flowrate. The height of the water level in the tank, the intet to the pipe, upstream of the valve and the outlet of the pipe are 2 - 5m, 2-4m. 2-0.2m and 2,02m respectively. The pipe has a constant inner diameter D 100mm and its lengths from point 1 to 2 and from 2 to 3 are 1, 6m and 1,2.5m respectively. The inlet is a standard square entry. The pipe outlet and the tank free surface are both at atmospheric pressure. Assume the tank to be sufficiently large to neglect changes in the water level in the tank due to water extraction, Atmospheric pressure is 10 Pa. All pipe elbows are at 90 with flanged connections and the pipe inner surface is perfectly smooth. The water viscosity is -0.001kg- and its density is p= 1000kg-m Water Za 4 Z₁ Datum level Figure 3 Pipe network layout Q3(a) [7 Marks] Calculate all hydraulic losses in the pipe as a function of the unknown flow velocity in the pipe (V). The elbows are standard length, all fittings are flanged and you can use the total pipe length in the calculation of the friction losses in the straight pipe sections. Assume that the flow to be turbulent and that the friction factor is f = 0.01. The valve is a half opened globe valve and you can neglect losses at the exit. Q 3(b) [11 Marks] Find the fluid velocity at the pipe outlet (point 3) using one iteration to correct the initial assumptions made to estimate the head loss through the straight pipe sections (the initial value of f = 0.01 is an initial guess). Q 3(c) [7 Marks] Find the pressure at point 2 in the pipe, that is just before the valve, and explain why the increase in static pressure from point 0 to point 2 is less than the hydrostatic pressure gain. [End of Question3] MM227-Thermofluid Mechanics August/Resit Examinations 2018/2019 Page 4 of 11 Valve