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A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.
Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer?
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A venturi meter of 20 mm throat diameter is used to measure the veloc...
Let us consider theoretical discharge through the pipe, i.e. without considering any loss in the venturimeter.
If we apply Bernoulli’s equation and continuity equation between section ① in the pipe and section ②
∴ Qth = 2.513 × 10−3 m3/sec Qth = 2.513 Lt/sec Given, Qact = 2.4 Lt/sec Thus coefficient of discharge for the venturimeter is
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A venturi meter of 20 mm throat diameter is used to measure the veloc...
Solution:
Given data:
- Diameter of throat (d1) = 20 mm
- Diameter of pipe (d2) = 40 mm
- Pressure difference (P1 - P2) = 30 kPa
- Actual discharge (Q) = 2.4 L/s
Step 1: Calculate the area ratio (A1/A2)
- Area of throat (A1) = π/4 * d1^2 = 314.16 mm^2
- Area of pipe (A2) = π/4 * d2^2 = 1256.64 mm^2
- Area ratio (A1/A2) = 314.16/1256.64 = 0.25
Step 2: Calculate the velocity of water at throat (V1)
- Continuity equation: Q = A1 * V1
- V1 = Q/A1 = 2.4/314.16 = 0.0076 m/s
Step 3: Calculate the theoretical velocity of water at pipe section (V2)
- Bernoulli's equation: P1/ρ + V1^2/2 = P2/ρ + V2^2/2
- Where ρ is the density of water (1000 kg/m^3)
- Rearranging the equation, V2 = √[(P1 - P2)/ρ + V1^2] = √[(30,000/1000) + 0.0076^2] = 1.139 m/s
Step 4: Calculate the coefficient of discharge (Cd)
- Cd = Q/(Cd * A2 * √(2*(P1-P2)/ρ)) = 2.4/(Cd * 1256.64 * √(2*30,000/1000)) = 0.943/Cd
Step 5: Calculate the range of Cd
- The range of Cd is given as 0.95 to 0.96
- Therefore, the predicted value of Cd falls within this range, which is reasonable.
Conclusion:
- The coefficient of discharge for the given venturi meter is predicted to be in the range of 0.95 to 0.96, which is reasonable based on the calculations.
Given data:
- Diameter of throat (d1) = 20 mm
- Diameter of pipe (d2) = 40 mm
- Pressure difference (P1 - P2) = 30 kPa
- Actual discharge (Q) = 2.4 L/s
Step 1: Calculate the area ratio (A1/A2)
- Area of throat (A1) = π/4 * d1^2 = 314.16 mm^2
- Area of pipe (A2) = π/4 * d2^2 = 1256.64 mm^2
- Area ratio (A1/A2) = 314.16/1256.64 = 0.25
Step 2: Calculate the velocity of water at throat (V1)
- Continuity equation: Q = A1 * V1
- V1 = Q/A1 = 2.4/314.16 = 0.0076 m/s
Step 3: Calculate the theoretical velocity of water at pipe section (V2)
- Bernoulli's equation: P1/ρ + V1^2/2 = P2/ρ + V2^2/2
- Where ρ is the density of water (1000 kg/m^3)
- Rearranging the equation, V2 = √[(P1 - P2)/ρ + V1^2] = √[(30,000/1000) + 0.0076^2] = 1.139 m/s
Step 4: Calculate the coefficient of discharge (Cd)
- Cd = Q/(Cd * A2 * √(2*(P1-P2)/ρ)) = 2.4/(Cd * 1256.64 * √(2*30,000/1000)) = 0.943/Cd
Step 5: Calculate the range of Cd
- The range of Cd is given as 0.95 to 0.96
- Therefore, the predicted value of Cd falls within this range, which is reasonable.
Conclusion:
- The coefficient of discharge for the given venturi meter is predicted to be in the range of 0.95 to 0.96, which is reasonable based on the calculations.
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A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer?
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A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. 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 venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. 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 venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer?.
A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. 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 venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. 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 venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer?.
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A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer?, a detailed solution for A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer? has been provided alongside types of A venturi meter of 20 mm throat diameter is used to measure the velocity of water in a horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and throat sections is found to be 30 kPa, and actual discharge is 2.4 Lt/sec. Predict coefficient of discharge for the venturimeter.Correct answer is 'Range: 0.95 to 0.96'. Can you explain this answer? theory, EduRev gives you an
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