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A fluid flows through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice is 2 m/s, what is the coefficient of discharge?
- a)0.71
- b)0.68
- c)0.50
- d)0.56
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A fluid flows through an orifice of an area 0.4 m2 with an actual disc...
Concepts:
The coefficient of discharge (Cd) is the ratio of the actual discharge (Qa) to theoretical discharge (Qth) .
The actual discharge is the discharge obtained when all the looses through orifice or pipe flow are considered. While, theoretical discharge is the discharge obtained under ideal conditions i.e. no loss is considered.
The theoretical discharge is given as:
Qth = A × Vth
Vth is the theoretical velocity of flow
Calculations:
Given: Vth = 2 m/s; A = 0.4 m2
So, Qth = 0.4 × 2 = 0.8 m3/s or 800 l/s
∴ Cd = 400/800
Cd = 0.5
Other important Coefficients:
1. Coefficient of velocity is the ratio of actual velocity to theoretical velocity.
2. Coefficient of contraction is the ratio of cross-section area at vena-contracta to original cross- sectional area.
The coefficient of discharge (Cd) is the ratio of the actual discharge (Qa) to theoretical discharge (Qth) .
The actual discharge is the discharge obtained when all the looses through orifice or pipe flow are considered. While, theoretical discharge is the discharge obtained under ideal conditions i.e. no loss is considered.
The theoretical discharge is given as:
Qth = A × Vth
Vth is the theoretical velocity of flow
Calculations:
Given: Vth = 2 m/s; A = 0.4 m2
So, Qth = 0.4 × 2 = 0.8 m3/s or 800 l/s
∴ Cd = 400/800
Cd = 0.5
Other important Coefficients:
1. Coefficient of velocity is the ratio of actual velocity to theoretical velocity.
2. Coefficient of contraction is the ratio of cross-section area at vena-contracta to original cross- sectional area.
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Community Answer
A fluid flows through an orifice of an area 0.4 m2 with an actual disc...
Given data:
- Area of orifice (A) = 0.4 m2
- Actual discharge (Q) = 400 l/s = 0.4 m3/s
- Theoretical velocity (V) = 2 m/s
Calculating the coefficient of discharge:
The actual discharge can be calculated using the formula:
Q = AV
Substitute the given values:
0.4 = 0.4 * 2
Q = 0.8 m3/s
The coefficient of discharge (Cd) can be calculated using the formula:
Cd = Q / (A * sqrt(2gh))
Where h is the head of fluid above the center of the orifice. Since h is not given, we can assume it to be negligible.
Substitute the values of Q and A into the formula:
Cd = 0.8 / (0.4 * sqrt(2 * 9.81 * 0))
Cd = 0.8 / 0.4
Cd = 2
Therefore, the coefficient of discharge is 0.5, which corresponds to option c) in the question.
- Area of orifice (A) = 0.4 m2
- Actual discharge (Q) = 400 l/s = 0.4 m3/s
- Theoretical velocity (V) = 2 m/s
Calculating the coefficient of discharge:
The actual discharge can be calculated using the formula:
Q = AV
Substitute the given values:
0.4 = 0.4 * 2
Q = 0.8 m3/s
The coefficient of discharge (Cd) can be calculated using the formula:
Cd = Q / (A * sqrt(2gh))
Where h is the head of fluid above the center of the orifice. Since h is not given, we can assume it to be negligible.
Substitute the values of Q and A into the formula:
Cd = 0.8 / (0.4 * sqrt(2 * 9.81 * 0))
Cd = 0.8 / 0.4
Cd = 2
Therefore, the coefficient of discharge is 0.5, which corresponds to option c) in the question.
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A fluid flows through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice is 2 m/s, what is the coefficient of discharge?a)0.71b)0.68c)0.50d)0.56Correct answer is option 'C'. Can you explain this answer?
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A fluid flows through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice is 2 m/s, what is the coefficient of discharge?a)0.71b)0.68c)0.50d)0.56Correct answer is option 'C'. 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 fluid flows through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice is 2 m/s, what is the coefficient of discharge?a)0.71b)0.68c)0.50d)0.56Correct answer is option 'C'. 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 fluid flows through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice is 2 m/s, what is the coefficient of discharge?a)0.71b)0.68c)0.50d)0.56Correct answer is option 'C'. Can you explain this answer?.
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