Problem 1. A water reservoir with dimensions of 10 x 10 × 10 m is connected to 3 pipes.Water is entering the tank at velocity u1 = 0.1 m/s through the inlet pipe, which has across-sectional area A10.5 m?. The bottom outlet pipe has a mass discharge rate of30 kg/s. Given that currently the water surface is 3 m below the top outlet pipe, and theoutlet pipe has a cross-sectional area A30.1 m²:1. Determine the rate of mass increase in the reservoir.2. How long will it take before the water surface reach the bottom surface of the topoutlet pipe?3. What would be the water velocity in the top outlet pipe?-A,3mV,A,-M2Figure 1: A water reservoir is connected to 3 pipes.

Given data: Dimension of the reservoir =(10 x 10 x 10)m water density = 1000 kg/m3 (Assumed) v1…

Answered: Problem 1. A water reservoir with…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problem P64 Extending the previous problem. The same two pipes connect two reservoirs as shown on the figure. 100 m Ans: z = 79.337 m Pipe #1 L = 5000 m D 800 mm C = 120 Pipe #2 L = 3500 m D = 1500 mm C = 80 B Determine the elevation of the free surface in Tank B if the total discharge into Tank B is 5.00 m³/s. Adopt a non-iterative approach when solving this problem. Neglect all local losses
Three pipes of 400 mm, 350 mm and 300 mm diameter are connected in series between two reservoirs with a difference in level of 12 m. The friction factors are 0.024, 0.021 and 0.019 respectively. The lengths are 200 m, 300m and 250 m respectively. a.) Find the flow in m^3/s in PIPE 3. b.) What is the head loss in meters in pipe 3? c.) Determine the length of an equivalent 350 mm diameter pipe.
he water surface in reservoir A is 6m. higher than that in reservoir B. A 150-mm diameter pipe 270-m long leads from A to a point here it connects with a 100-mm diameter pipe 150-m long, leading from B, both discharges into a 200-mm diameter pipe discharges 40 liters/sec, find the difference in elevation between the end where it discharges into the air and the water surface in reservoir A. Use n = 0.011 for all pipes.
2. Three reservoirs A, B, and C are connected respectively with pipes 1, 2, and 3 joining at a common junction P. Reservoir A is at elevation 80 m, reservoir B at elevation 70 m and reservoir C is at elevation 60 m. The properties of each pipe are as follows: Pipe 1: L = 5000 m, D = 300 mm Pipe 2: L = 4000 m, D = 250 mm Pipe 3: L = 3500 m %3D The flow from reservoir A to junction P is 0.045 m3/s and f for all pipes is 0.018. (a) Find the elevation of the energy grade line at P in m (b) Determine the flow on pipe 2 in m3/s (c) Compute the diameter appropriate for pipe 3 in mm
Situation 1: In the pipe system shown, the velocity of water in pipe A is 1 m/s. The friction factor f = 0.02 for all pipes. a. Determine the discharge in pipe B. b. Determine the velocity in pipe C. c. Determine the headloss in pipe E. d. Determine the difference in elevation of the two reservoirs. Water D A 300 m 200 mm D 300m 500 mm Diom 600m 300mm Diam 300m 300mm D B 800 m 300mm Diam E
Three pipes of 400 mm, 350 mm and 300 mm diameter are connected in series between two reservoirs with a difference in level of 12 m. The friction factors are 0.024, 0.021 and 0.019 respectively. The lengths are 200 m, 300 m and 250 m respectively. a) The flow in m^3/s in PIPE 3 is nearest to... b) What is the head loss in meters in pipe 3? c) Determine the length of an equivalent 350mm diameter pipe.
4.(b) A pipe ABC connecting two reservoirs is 80 mm in diameter. From A to B the pipe is horizontal as shown in the following figure, and from B to C it falls by 3.5 metres. The length AB and BC are 25 and 15 m respectively. If the water surface in the reservoir at A is 4 m above the centre line of the pipe and at C 1 m above the centre line of the pipe, calculate the quantity of flow and also the pressure head in the pipe at B. Neglect the loss at the bend but consider all other losses. Take Darcy f= 0.024. Draw the energy and hydraulic grade lines. 4 m A 3.5 m ↓ -Ba C t Ilm
Problem 3 A reservoir with water is pressurized as shown. The pipe diameter is 1 in. The head loss in the system is given by h₁ = 5V2/(2g), where V is the flow velocity, and g is gravitational acceleration 9.81 m/s². The height between the water surface and the pipe outlet is 10 ft. A discharge of 0.10 ft³/s is needed. What must the pressure in the tank be to achieve such a flow rate? Assume a = 1.0 at all locations. Air under pressure Water Partly open valve
Consider the figure shown. The discharge of reservoir a is 400 li/sec. Solve for the length of pipe 2 if the flow rate of pipe 1 is 240 li/sec and the elevation of point D. El. 50m A El. 40m B L1=1200m D1=650mm fi =0.02 L3=4700m D3 =350mm f3 =0.022 Node L2= ? D2=600mm f2 =0.02 L4=4600m D4=500mm f4 =0.019 El. C Answer: Length of pipe 2 = 1809.262m, Elevation of D = 15.46m
Three pipes 1,2 and 3 connect three reservoirs A, B and C, respectively, and meet at junction D. The elevation of A is 300 m while that of C is 277m. The rate of flow out of the reservoir B is 560Lit/sec. Pipe Length (m) Diameter (mm) Friction Factor 1 1200 800 0.0175 2 800 450 0.0208 3 1800 500 0.0183 Which of the following nearly gives the rate of flow in pipe 1? a. 45.91 L/s b. 122 L/s c. 459.78 L/s d. 514.09 L/s Which of the following nearly gives the rate of flow in pipe 3? a. 100.22 L/s b. 45.91 L/s c. 459.78 L/s d. 514.09 L/s Which of the following nearly gives the elevation of reservoir B? a. 360.55 m b. 336.67 m c. 323.37 m d. 3.90 m
9.) Three reservoirs A, B, and C are connected respectively with pipes 1, 2, and 3 joining at a common junction P whose elevation is 366 m. reservoir A is at elevation 933 m and reservoir B is at elevation 844 m. the properties of each pipe are as follows: L1= 1500 m, D1= 600 mm, f1= 0.02; L2= 1000 m, D2= 450 mm, f2= 0.025; L3= 900 m, D3= 500 mm, f3= 0.018. A pressure gage at junction Preads 4950 kPa. What is the flow in pipe 3 in m3/s and the elevation of reservoir C. Subject: Fluid Mechanic Lesson: Conservation of Energy Fluid Flow in Pipes
b. Three reservoirs A, B and are connected by a pipe system as show in the following figure. The length and diameter of pipe 1,2 and 3 are 2000m, 1000m, 500m and 30cm, 20cm respectively. Find the discharge into or from the reservoir B and C if the rate of flow from reservoir A is 50 lit/s. Find the height of water level in the reservoir C. Take coefficient of friction = 0.005 for all three pipes. 140m 138 m A 1 B 2 3.

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