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A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle is
- a)0.7695
- b)0.81
- c)0.9025
- d)0.855
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A fluid jet is discharging from a 100 mm nozzle and the vena contract...
CV = Vcontracta actual / Vcontracta Theory = 0.95
Q actual = Vcontracta actual × Acontracta
= VC,Theory × CV × AC / Anozzle × Anozzle
Qactual = VC,Theory × Anozzle × CV × AC / Anozzle
Now CV × AC / AN = Cd
where Cd = Coefficient of discharge
So Cd = 0.95 × 902 / 1002
Cd = 0.7695
Most Upvoted Answer
A fluid jet is discharging from a 100 mm nozzle and the vena contract...
Calculation of Coefficient of Discharge for a Fluid Nozzle
Given:
Diameter of nozzle (D) = 100 mm
Diameter of vena contracta (d) = 90 mm
Coefficient of Velocity (Cv) = 0.95
To find: Coefficient of Discharge (Cd)
Formula:
Cd = Cv * (d/D)^2
Calculation:
Substituting the given values in the formula, we get:
Cd = 0.95 * (90/100)^2
Cd = 0.7695
Therefore, the coefficient of discharge for the given fluid nozzle is 0.7695.
Explanation:
- The coefficient of velocity (Cv) is a measure of how efficiently a fluid flows through a nozzle. It is the ratio of the actual velocity of fluid at the vena contracta to the theoretical velocity of fluid at the nozzle exit.
- The coefficient of discharge (Cd) is a measure of the overall efficiency of the nozzle, which takes into account the contraction of the jet as it leaves the nozzle and the frictional losses in the fluid flow.
- The diameter of the vena contracta is smaller than the diameter of the nozzle, which indicates that the jet is contracting as it leaves the nozzle. This contraction is due to the fluid pressure reducing as it moves away from the nozzle exit, causing the fluid to accelerate and the cross-sectional area to decrease.
- The formula for calculating the coefficient of discharge takes into account the ratio of the vena contracta diameter to the nozzle diameter, which reflects the degree of contraction of the jet. The higher the degree of contraction, the lower the coefficient of discharge.
- In this case, the coefficient of velocity is given as 0.95, which means that the fluid is flowing efficiently through the nozzle. However, the degree of contraction is significant, with the vena contracta diameter being only 90% of the nozzle diameter. This results in a coefficient of discharge of 0.7695, which indicates that the overall efficiency of the nozzle is lower than the coefficient of velocity alone would suggest.
Given:
Diameter of nozzle (D) = 100 mm
Diameter of vena contracta (d) = 90 mm
Coefficient of Velocity (Cv) = 0.95
To find: Coefficient of Discharge (Cd)
Formula:
Cd = Cv * (d/D)^2
Calculation:
Substituting the given values in the formula, we get:
Cd = 0.95 * (90/100)^2
Cd = 0.7695
Therefore, the coefficient of discharge for the given fluid nozzle is 0.7695.
Explanation:
- The coefficient of velocity (Cv) is a measure of how efficiently a fluid flows through a nozzle. It is the ratio of the actual velocity of fluid at the vena contracta to the theoretical velocity of fluid at the nozzle exit.
- The coefficient of discharge (Cd) is a measure of the overall efficiency of the nozzle, which takes into account the contraction of the jet as it leaves the nozzle and the frictional losses in the fluid flow.
- The diameter of the vena contracta is smaller than the diameter of the nozzle, which indicates that the jet is contracting as it leaves the nozzle. This contraction is due to the fluid pressure reducing as it moves away from the nozzle exit, causing the fluid to accelerate and the cross-sectional area to decrease.
- The formula for calculating the coefficient of discharge takes into account the ratio of the vena contracta diameter to the nozzle diameter, which reflects the degree of contraction of the jet. The higher the degree of contraction, the lower the coefficient of discharge.
- In this case, the coefficient of velocity is given as 0.95, which means that the fluid is flowing efficiently through the nozzle. However, the degree of contraction is significant, with the vena contracta diameter being only 90% of the nozzle diameter. This results in a coefficient of discharge of 0.7695, which indicates that the overall efficiency of the nozzle is lower than the coefficient of velocity alone would suggest.
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A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. Can you explain this answer?
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A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. 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 jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. 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 jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. Can you explain this answer?.
A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. 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 jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. 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 jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle isa) 0.7695b) 0.81c) 0.9025d) 0.855Correct answer is option 'A'. Can you explain this answer?.
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