WATER RESOURCES ENGINEERING (CL)
3rd Edition
ISBN: 9781119625827
Author: Mays
Publisher: WILEY
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Chapter 4, Problem 4.5.5P
To determine
The rate of flow and the elevation of the third reservoir.
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A
A
2
B
The three-reservoir system is shown below:
3
The elevation of Reservoir at A is 140m and at C is 50m. The flow rate at Pipe 1 from Reservoir A is 1.75 m/s. All pipes have a length of 500 meters, friction factor f = 0.02, and sizes namely:
Pipe Diameter 1 (mm) - 600mm
Pipe Diameter 2 (mm) = 500mm
Pipe Diameter 3 (mm) - 400mm
Determine the headloss in meters at Pipe 2.
A
A
1
2
B
The three-reservoir system is shown below:
3
The elevation of Reservoir at A is 140m and at Cis 50m. The flow rate at Pipe 1 from Reservoir A is 1.75 m/s. All pipes have a length of 500 meters, friction factor f - 0.02, and sizes namely:
Pipe Diameter 1 (mm) - 600mm
Pipe Diameter 2 (mm) = 500mm
Pipe Diameter 3 (mm) = 400mm
Determine the Headloss at Pipe 3 in meters.
A
1
2
The three-reservoir system is shown below:
3
C
The elevation of Reservoir at A is 140m and at Cis 50m. The flow rate at Pipe 1 from Reservoir A is 1.75 m/s. All pipes have a length of 500 meters, friction factor f - 0.02, and sizes namely:
Pipe Diameter 1 (mm) = 600mm
Pipe Diameter 2 (mm) = 500mm
Pipe Diameter 3 (mm) - 400mm
Determine the elevation of Reservoir B in meters.
Chapter 4 Solutions
WATER RESOURCES ENGINEERING (CL)
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- A 1 2 The three-reservoir system is shown below: 3 C The elevation of Reservoir at A is 140m and at C is 50m. The flow rate at Pipe 1 from Reservoir A is 1.75 m/s. All pipes have a length of 500 meters, friction factor f = 0.02, and sizes namely: Pipe Diameter 1 (mm) - 600mm Pipe Diameter 2 (mm) = 500mm Pipe Diameter 3 (mm) = 400mm Determine the Headloss at Pipe 1 in meters.arrow_forwardA pipeline (diameter 0.3 m, length 3 km) carries water from point P to point R (see figure). The piezometric heads at P and R are to be maintained at 100 m and 80 m, respectively. To increase the discharge, a second pipe is added in parallel to the existing pipe from Q to R. The length of the additional pipe is also 2 km. Assume the friction factor f = 0.04 for all pipes and ignore minor losses. K .P 1km Q 2 km R 2km What is the increase in discharge, if the additional pipe has same diameter (0.3 m)?arrow_forward1. A 1 meter diameter pipe 1400 m long has a discharge of 600 liters/ sec a. Compute the head loss using f = 0.018 b. Compute the head loss using n = 0.015 c. Compute the head loss using C = 100 %3D %3D %3Darrow_forward
- The average velocity of the steady flow at A and B is indicated. Determine the average velocity at C.The pipes have cross-sectional areas of Aa=Ac=0.1mm^2 and Ab=0.2m^2arrow_forwardSituation 4: A pipeline x joins pipelines 1 1, 2 and 3 at junction A. The pipelines 1,2 and 3 merges at junction B to form a single pipeline y. The pressure heads at A and B are 78 m and 42 m, respectively. X A 2 В y Use Hazen-Williams constant c 120 for all pipes. Pipe Length 3,000 m 1,300 m 2,600 m Diameter 300 mm a. Compute the rate of flow in pipeline 1. 1 200 mm b. Compute the rate of flow in pipeline 2. 250 mm c. Compute the total rate of flow.arrow_forwardThe flow rate for the pipe system is 0.050 m³/s with a total head loss of 12 m. Use C = 120 for all pipes. 2 3 Pipe Length Diameter 1 400 m 200 mm 2 500 m 180 mm 300 m 4 620 m 250 mm a. Calculate the head loss in pipe 2.2.81 m b. Solve the rate of flow in pipeline 3. 0.0278 m³/s c. Compute the diameter of pipe 3. 176.54 mm Situation: 3arrow_forward
- . All the pipes have a diameter of Zz=115m 0.28 m in the pipe-reservoir system shown in the Figure. The roughness height of each pipe is k-1 mm. Calculate the flow rate of the pipes. Draw the energy grade line (EGL) on the Figure. Minor loses can be ignored in the calculations. (v-1.01x10 m/s). Z3=85m Zz=25m (2) (3) (1) 125m 95 160marrow_forwardConsider the pipe network shown below. The friction factor = 0.02. By using Hardy Cross method, detemine the flow rate in BE pipe for AS0.03. 2.5 m/s L= 1500 m D= 0.8 m B L=1500 m; D= 0.6 m 0.5 m'/s L=1500 m, D 0.7 m 1 m/s D L= 1500 m, D 0.7 m 1m'/s D-0.7 m tu 00z1 -1 L-1200 m: D-0,7 m u 007I -1arrow_forwardTwo water reservoirs of height h1 = 60 m and h2 = 30 m are connected by a pipe that is 0.35 m in diameter. The exit of the pipe is submerged at a distance of 8 m from the (2nd) reservoir surface. a. Provide a diagram b. Determine the flow rate through the pipe if the pipe is 80 m long and the (Fanning) friction factor f' = 0.004. The pipe inlet is set flush with the wall. c. If the relative roughness ε/D = 0.004, determine the friction factor and flow rate.arrow_forward
- HYDRAULICS Engineering Q1; All the pipes have a diameter of 0.28 m in the pipe-reservoir system shown in the Figure. The roughness height of each pipe is k=1 mm. Calculate the flow rate of the pipes. Draw the energy grade line (EGL) on the Figure. Minor loses can be ignored in the calculations. (v=1.01x10-6 m?/s). Z2=115m Z3=85m Zz=25m (2) (3) (1) 125m 95 160marrow_forward2. Determine the flow in each pipe in the three reservoirs shown. EL. 60 m A 1800 m 500 mm f = 0.03 1800 m 400 mm f = 0.025 P 3000 m 500 mm f = 0.025 EL. 40 m B EL. 30 m Carrow_forwardProblem 1: A pipeline 300 m long discharge freely at a point 50 m lower than the water surface at intake (Figure 1). The pipe intake projects into the reservoir. The first 200 m is of 350 mm diameter and the remaining 100 m is of 250 mm diameter. (a) Find the rate of discharge assuming f= 0.06. If the junction point C of the two sizes of pipe is 40 m below the intake water surface level, find the pressure head. L₁, D₁, f AZ1 C L2, D2, f T 122 -V₁arrow_forward
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