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The rate of water through a vertical conical draft tube of a Kaplan turbine is 17.5 m3/s. The diameter of the draft tube on the side connected to the outlet of the turbine runner is 2.5 m and the average velocity at exit is 1.5 m⁄s. If the pressure at inlet to the tube is not to be less than the −0.7 bar, how far the tube should extend above the tail race. Neglect frictional effects and presume that exit of the draft tube lies 1.2 m below the tail water level.
Correct answer is 'Range: 6.55 to 6.65'. Can you explain this answer?
Verified Answer
The rate of water through a vertical conical draft tube of a Kaplan t...
V1 = 3.565 m/sec
There is a possibility of mistake in the question, i.e. applying Bernoulli’s equation between section ① and ② and writing pressure at ② using hydrostatic law as ② lies 1.5 m below the free surface.
But please note that section ② represents flowing fluid, hence pressure cannot be predicted using hydrostatic law. Hence consider a point 3 far away from the tube along the centre streamline as shown.
Apply Bernoulli’s equation between ① and ③
Where hexit is the head loss at exit of draft tube.
Note: At exit of pipe into a reservoir, entire kinetic head is lost.
Also point 3 is the far away point where the fluid particle comes to rest.
∴ V3 = 0
And P3 can be predicted by hydrostatic law as fluid is at rest P3 = ρg(H + 1.2) Substituting these conditions in Bernoulli’s equation
h = 6.6 m
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The rate of water through a vertical conical draft tube of a Kaplan t...
V1 = 3.565 m/sec
There is a possibility of mistake in the question, i.e. applying Bernoulli’s equation between section ① and ② and writing pressure at ② using hydrostatic law as ② lies 1.5 m below the free surface.
But please note that section ② represents flowing fluid, hence pressure cannot be predicted using hydrostatic law. Hence consider a point 3 far away from the tube along the centre streamline as shown.
Apply Bernoulli’s equation between ① and ③
Where hexit is the head loss at exit of draft tube.
Note: At exit of pipe into a reservoir, entire kinetic head is lost.
Also point 3 is the far away point where the fluid particle comes to rest.
∴ V3 = 0
And P3 can be predicted by hydrostatic law as fluid is at rest P3 = ρg(H + 1.2) Substituting these conditions in Bernoulli’s equation
h = 6.6 m
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Community Answer
The rate of water through a vertical conical draft tube of a Kaplan t...
V1 = 3.565 m/sec
There is a possibility of mistake in the question, i.e. applying Bernoulli’s equation between section ① and ② and writing pressure at ② using hydrostatic law as ② lies 1.5 m below the free surface.
But please note that section ② represents flowing fluid, hence pressure cannot be predicted using hydrostatic law. Hence consider a point 3 far away from the tube along the centre streamline as shown.
Apply Bernoulli’s equation between ① and ③
Where hexit is the head loss at exit of draft tube.
Note: At exit of pipe into a reservoir, entire kinetic head is lost.
Also point 3 is the far away point where the fluid particle comes to rest.
∴ V3 = 0
And P3 can be predicted by hydrostatic law as fluid is at rest P3 = ρg(H + 1.2) Substituting these conditions in Bernoulli’s equation
h = 6.6 m
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The rate of water through a vertical conical draft tube of a Kaplan turbine is 17.5 m3/s. The diameter of the draft tube on the side connected to the outlet of the turbine runner is 2.5 m and the average velocity at exit is 1.5 m⁄s. If the pressure at inlet to the tube is not to be less than the −0.7 bar, how far the tube should extend above the tail race. Neglect frictional effects and presume that exit of the draft tube lies 1.2 m below the tail water level.Correct answer is 'Range: 6.55 to 6.65'. Can you explain this answer?
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The rate of water through a vertical conical draft tube of a Kaplan turbine is 17.5 m3/s. The diameter of the draft tube on the side connected to the outlet of the turbine runner is 2.5 m and the average velocity at exit is 1.5 m⁄s. If the pressure at inlet to the tube is not to be less than the −0.7 bar, how far the tube should extend above the tail race. Neglect frictional effects and presume that exit of the draft tube lies 1.2 m below the tail water level.Correct answer is 'Range: 6.55 to 6.65'. 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 The rate of water through a vertical conical draft tube of a Kaplan turbine is 17.5 m3/s. The diameter of the draft tube on the side connected to the outlet of the turbine runner is 2.5 m and the average velocity at exit is 1.5 m⁄s. If the pressure at inlet to the tube is not to be less than the −0.7 bar, how far the tube should extend above the tail race. Neglect frictional effects and presume that exit of the draft tube lies 1.2 m below the tail water level.Correct answer is 'Range: 6.55 to 6.65'. 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 The rate of water through a vertical conical draft tube of a Kaplan turbine is 17.5 m3/s. The diameter of the draft tube on the side connected to the outlet of the turbine runner is 2.5 m and the average velocity at exit is 1.5 m⁄s. If the pressure at inlet to the tube is not to be less than the −0.7 bar, how far the tube should extend above the tail race. Neglect frictional effects and presume that exit of the draft tube lies 1.2 m below the tail water level.Correct answer is 'Range: 6.55 to 6.65'. Can you explain this answer?.
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