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A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .
Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)
Correct answer is '1.31'. Can you explain this answer?
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A venturimeter is installed in a pipeline of 200 mm diameter. The thro...
Solution:
Given data:
- Diameter of the pipeline (D) = 200 mm
- Throat pipe diameter ratio (d/D) = 1/5
- Pressure in the pipeline (P1) = 1.405 kg/cm2
- Vacuum in the throat (P2) = 375 cm of mercury
- Percentage of differential head lost between gauges = 4%
To find:
- Flow in the pipeline (Q)
1. Conversion of units:
- Convert the diameter of the pipeline from mm to cm:
D = 200 mm = 20 cm
- Convert the pressure in the pipeline from kg/cm2 to cm of water:
P1 = 1.405 kg/cm2 = 1.405 * 10000 cm of water
- Convert the vacuum in the throat from cm of mercury to cm of water:
P2 = 375 cm of mercury * 13.6 cm of water/cm of mercury = 5100 cm of water
2. Calculate the differential head:
- Differential head (H) = P1 - P2 = 1.405 * 10000 cm of water - 5100 cm of water
3. Calculate the actual differential head after considering the loss:
- Actual differential head = Differential head * (1 - Percentage of head loss/100)
Actual differential head = H * (1 - 4/100)
4. Calculate the throat diameter (d):
- Throat diameter (d) = Throat pipe diameter ratio * Diameter of the pipeline
d = (1/5) * 20 cm = 4 cm
5. Calculate the area of the throat (At):
- Area of the throat (At) = (π/4) * d^2
At = (3.14/4) * 4^2 cm2
6. Calculate the flow in the pipeline (Q):
- Flow in the pipeline (Q) = Actual differential head * At / (Coefficient of discharge * √(2g))
where g is the acceleration due to gravity and is approximately 9.81 m/s2
Substituting the values and converting the units:
Q = (Actual differential head * At) / (Coefficient of discharge * √(2 * 981))
7. Calculate the coefficient of discharge (Cd):
- Coefficient of discharge (Cd) is given as 0.98 for a venturimeter.
8. Substitute the values in the flow equation and calculate Q:
- Q = (Actual differential head * At) / (0.98 * √(2 * 981))
- Q ≈ 1.31 m3/s (rounded to two decimal places)
Therefore, the flow in the pipeline is approximately 1.31 m3/s.
Given data:
- Diameter of the pipeline (D) = 200 mm
- Throat pipe diameter ratio (d/D) = 1/5
- Pressure in the pipeline (P1) = 1.405 kg/cm2
- Vacuum in the throat (P2) = 375 cm of mercury
- Percentage of differential head lost between gauges = 4%
To find:
- Flow in the pipeline (Q)
1. Conversion of units:
- Convert the diameter of the pipeline from mm to cm:
D = 200 mm = 20 cm
- Convert the pressure in the pipeline from kg/cm2 to cm of water:
P1 = 1.405 kg/cm2 = 1.405 * 10000 cm of water
- Convert the vacuum in the throat from cm of mercury to cm of water:
P2 = 375 cm of mercury * 13.6 cm of water/cm of mercury = 5100 cm of water
2. Calculate the differential head:
- Differential head (H) = P1 - P2 = 1.405 * 10000 cm of water - 5100 cm of water
3. Calculate the actual differential head after considering the loss:
- Actual differential head = Differential head * (1 - Percentage of head loss/100)
Actual differential head = H * (1 - 4/100)
4. Calculate the throat diameter (d):
- Throat diameter (d) = Throat pipe diameter ratio * Diameter of the pipeline
d = (1/5) * 20 cm = 4 cm
5. Calculate the area of the throat (At):
- Area of the throat (At) = (π/4) * d^2
At = (3.14/4) * 4^2 cm2
6. Calculate the flow in the pipeline (Q):
- Flow in the pipeline (Q) = Actual differential head * At / (Coefficient of discharge * √(2g))
where g is the acceleration due to gravity and is approximately 9.81 m/s2
Substituting the values and converting the units:
Q = (Actual differential head * At) / (Coefficient of discharge * √(2 * 981))
7. Calculate the coefficient of discharge (Cd):
- Coefficient of discharge (Cd) is given as 0.98 for a venturimeter.
8. Substitute the values in the flow equation and calculate Q:
- Q = (Actual differential head * At) / (0.98 * √(2 * 981))
- Q ≈ 1.31 m3/s (rounded to two decimal places)
Therefore, the flow in the pipeline is approximately 1.31 m3/s.
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Community Answer
A venturimeter is installed in a pipeline of 200 mm diameter. The thro...
Given: d1 = 200 mm = 0.2 m, d2 = 200/5 = 40 mm = 0.04 m,
P1 = 1.405 kg/cm2 and p = 37.5 cm of Hg
Area of pipe is
= 0.03142 m2
Area of throat is
Pressure is
P1 = (1.405 x 104)/1000
= 14.05 m of water
= - 5.1 m of water
Differential head is
h = p1/ω - p2/ω
= 14.05 - (- 5.1)
= 19.15 m of water
Head loss is
hf = 4% x h
= 4/100(19.15)
= 0.766 m
Cofficient of discharge is
= 0.98
Discharge or flow in the pipeline is
= 1.311 m3/s
= 1.31 m3/s
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A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer?
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A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. 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 A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. 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 A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer?.
A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. 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 A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. 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 A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer?.
Solutions for A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer?, a detailed solution for A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer? has been provided alongside types of A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A venturimeter is installed in a pipeline of 200 mm diameter. The throat pipe diameter ratio is 1/5 .Water flows through the installation. The pressure in the pipeline is 1.405 kg/cm2 and the vacuum in the throat is 375 cm of mercury. If 4% of the differential head is lost between the gauges, the flow in the pipeline is ____________ m3/s. (Answer up to two decimal places)Correct answer is '1.31'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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