Figure 2 shows a reticulation system. Estimate the flow rate in each pipeline using Hardy-Cross Method and Hazen-William formula up to two iterations. Adopt Hazen-William coefficient, C. as 100. The lengths and diameters for pipes AB, BC, CD, and AD are as follows: 30 Vs 40 1/s B 50 1/s 120 l/s Figure 2: Water reticulation system Pipe AB: length= 900 m and diameter = 250 mm Pipe BC: length = 750 m and diameter = 200 mm Pipe CD: length 950 m and diameter = 250 mm Pipe AD: length= 750 m and diameter = 200 mm

Problem 2: Calculation of the Flow Rate in a Pipeline Figure 1 shows a pipeline which delivers liquid at constant temperature T from point 1, where the pressure is p, and the elevation is z, to point 2, where the pressure is p2 and the elevation 2₂. The effective length of the pipeline, including fittings and expansion losses, is L and its diameter is D. P = P₁ 44 2 -P= P₂ ܕܐ=ܐ Z= Z₁ Figure 1. Liquid Flow in a Pipeline (a) Calculate the flow rate q (in gal/min) in the pipeline for water at 60°F. The pipeline is nominal 6-inch diameter schedule 40 commercial steel pipe with L = 5000 ft, p= 150 psig, pz = 0 psig, z; = 0 ft, z₂ = 300 ft. (b) Do the calculations for several higher values of p: (200 psig max). Plot the calculated flow rate as a function of pressure difference. Based on the plot, determine the minimum pressure difference needed to start the flow.

A pump system is used to move water at a flow rate of 30 L/s from a lower to a higher reservoir in a city with an elevation of 1000 m above sea level. The system is shown schematically in the figure below, with ∆?=30 m. Both the suction and delivery pipes have a diameter of 150 mm and an absolute roughness of 0.3 mm. The lengths of the suction and delivery pipes are 6 and 500 m respectively. Ignore local losses and assume a temperature of 15 °C.  a)Develop a mathematical expression for the system curve (i.e. the pumping head required as a function of the system flow rate) from basic principles. Name all mechanics principles implemented. b)Calculate the required pump working point. What is the flow regime of the pipe flow.  c)What power does the pump add to the water in the system?

The diagram below shows a pumping system to pump water to an elevated tank. The next page shows the performance curve of a specific type of centrifugal pump. The loss factors at the inlet and outlet are 0.5 and 1.5 respectively while the loss factor associated with the bend is 1.5. The diameter of the pipe is 0.050 m while the total pipe length is 400 m. In order to simplify the calculation you can assume that the friction factor is f= 0.036. Determine the duty point of this pumping system and thus determine the flow rate of the pump for an impeller diameter of 140 mm? Also determine the shaft power of the pump and give an estimate of the pumps efficiency at the duty point. Given that the pump is located 1.80 m above the water surface (1), and the pipe length from inlet to pump is 6.0 m, determine the NPSHA at the pump and state whether cavitation is likely to occur. Sol: 3.6 m 40 H m 30- P 10 20- K₁ = 0.5 5- kW 2- 1- 13 4 2- NPSH K₁ = 1.5 170 160 150 140. 130_ (1) Q 10 Pump 20 54…