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Two reservoirs are connected through a 300 mm diameter pipe line, 1000 m long as shown in figure. At a point B, 300 m from reservoir A, a valve is inserted on a short branch line which discharges to the atmosphere. The valve may be regarded as a rounded orifice 75 mm diameter, Cd = 0.65. If friction factor f for all the pipes is 0.013. Estimate the leakage through the short pipe line at B (in m3/s).
Correct answer is 'Range: 0.04 to 0.06'. Can you explain this answer?
Verified Answer
Two reservoirs are connected through a 300 mm diameter pipe line, 100...
Let the flow rate through the first 300 m of the pipe be Q and the flow rates through the next 700 m of the pipe and the short branch line containing the valve be Q1 and Q2 respectively.
From continuity, Q = Q1 + Q2
The discharge through the valve acting as an orifice can be written as
Using equation ① and ②, we have
= 0.224 Q1
Hence, Q = 1.224 Q1
Applying Bernoulli’s equation between A and C through the path ABC, we have,
which gives Q1 = 0.231 m3/s
Q2 = 0.224 × 0.231 = 0.052 m3/s
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Two reservoirs are connected through a 300 mm diameter pipe line, 100...
Let the flow rate through the first 300 m of the pipe be Q and the flow rates through the next 700 m of the pipe and the short branch line containing the valve be Q1 and Q2 respectively.
From continuity, Q = Q1 + Q2
The discharge through the valve acting as an orifice can be written as
Using equation ① and ②, we have
= 0.224 Q1
Hence, Q = 1.224 Q1
Applying Bernoulli’s equation between A and C through the path ABC, we have,
which gives Q1 = 0.231 m3/s
Q2 = 0.224 × 0.231 = 0.052 m3/s
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Community Answer
Two reservoirs are connected through a 300 mm diameter pipe line, 100...
Let the flow rate through the first 300 m of the pipe be Q and the flow rates through the next 700 m of the pipe and the short branch line containing the valve be Q1 and Q2 respectively.
From continuity, Q = Q1 + Q2
The discharge through the valve acting as an orifice can be written as
Using equation ① and ②, we have
= 0.224 Q1
Hence, Q = 1.224 Q1
Applying Bernoulli’s equation between A and C through the path ABC, we have,
which gives Q1 = 0.231 m3/s
Q2 = 0.224 × 0.231 = 0.052 m3/s
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Two reservoirs are connected through a 300 mm diameter pipe line, 1000 m long as shown in figure. At a point B, 300 m from reservoir A, a valve is inserted on a short branch line which discharges to the atmosphere. The valve may be regarded as a rounded orifice 75 mm diameter, Cd = 0.65. If friction factor f for all the pipes is 0.013. Estimate the leakage through the short pipe line at B (in m3/s).Correct answer is 'Range: 0.04 to 0.06'. Can you explain this answer?
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Two reservoirs are connected through a 300 mm diameter pipe line, 1000 m long as shown in figure. At a point B, 300 m from reservoir A, a valve is inserted on a short branch line which discharges to the atmosphere. The valve may be regarded as a rounded orifice 75 mm diameter, Cd = 0.65. If friction factor f for all the pipes is 0.013. Estimate the leakage through the short pipe line at B (in m3/s).Correct answer is 'Range: 0.04 to 0.06'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two reservoirs are connected through a 300 mm diameter pipe line, 1000 m long as shown in figure. At a point B, 300 m from reservoir A, a valve is inserted on a short branch line which discharges to the atmosphere. The valve may be regarded as a rounded orifice 75 mm diameter, Cd = 0.65. If friction factor f for all the pipes is 0.013. Estimate the leakage through the short pipe line at B (in m3/s).Correct answer is 'Range: 0.04 to 0.06'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two reservoirs are connected through a 300 mm diameter pipe line, 1000 m long as shown in figure. At a point B, 300 m from reservoir A, a valve is inserted on a short branch line which discharges to the atmosphere. The valve may be regarded as a rounded orifice 75 mm diameter, Cd = 0.65. If friction factor f for all the pipes is 0.013. Estimate the leakage through the short pipe line at B (in m3/s).Correct answer is 'Range: 0.04 to 0.06'. Can you explain this answer?.
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