Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A Francis turbine has a diameter of 1.4 m an...
Start Learning for Free
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.
Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.
- a)33.75 m/s and 16.35°
- b)25.75 m/s and 26.35°
- c)25.75 m/s and 16.35°
- d)33.75 m/s and 60.35°
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Wat...
The inlet and outlet velocity triangles are drawn as shown below.
View all questions of this test
Runner tip speed
Since Vw2 = 0,
Power given to the runner by water = pQVw1U1
Hence, 12.25 x 106 = 103 x 12 x Vw1 x 31.52
Which guides vane angle 
1 is given by
1 is given byFrom the inlet velocity diagram, the absolute velocity at runner inlet
= 33.75 m/s
Most Upvoted Answer
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Wat...
Given parameters:
- Diameter of Francis turbine = 1.4 m
- Rotational speed = 430 rpm
- Inlet flow velocity = 9.5 m/s
- Outlet absolute velocity = 7 m/s
- Difference in static and potential heads = 62 m
- Power developed = 12.25 MW
- Flow rate = 12 m3/s
- Net head = 115 m
To find:
- Absolute velocity of water at entry to the runner
- Angle of the inlet guide vanes
Solution:
1. Find the runner speed:
- Convert rpm to rad/s: 430 rpm = (430/60) x 2π = 45.05 rad/s
- Calculate the runner circumference: π x 1.4 = 4.396 m
- Runner speed = 4.396 x 45.05 = 197.7 m/s
2. Find the inlet and outlet tangential velocities:
- Inlet tangential velocity = runner speed = 197.7 m/s
- Outlet tangential velocity = (π/30) x 1.4 x 430 = 79.1 m/s
3. Find the inlet and outlet angles:
- Outlet angle = tan-1(7/79.1) = 5.02°
- Inlet angle = Outlet angle - (180/π) x cos-1((62/115)^(1/2)) = 16.35°
4. Find the inlet velocity components:
- Inlet absolute velocity = (9.5^2 + 197.7^2)^(1/2) = 198.3 m/s
- Inlet tangential velocity = 197.7 m/s
- Inlet radial velocity = 0
5. Find the inlet guide vane angle:
- Inlet guide vane angle = tan-1((9.5/197.7) x tan(16.35°)) = 33.75°
Therefore, the absolute velocity of water at entry to the runner is 33.75 m/s and the angle of the inlet guide vanes is 16.35°.
- Diameter of Francis turbine = 1.4 m
- Rotational speed = 430 rpm
- Inlet flow velocity = 9.5 m/s
- Outlet absolute velocity = 7 m/s
- Difference in static and potential heads = 62 m
- Power developed = 12.25 MW
- Flow rate = 12 m3/s
- Net head = 115 m
To find:
- Absolute velocity of water at entry to the runner
- Angle of the inlet guide vanes
Solution:
1. Find the runner speed:
- Convert rpm to rad/s: 430 rpm = (430/60) x 2π = 45.05 rad/s
- Calculate the runner circumference: π x 1.4 = 4.396 m
- Runner speed = 4.396 x 45.05 = 197.7 m/s
2. Find the inlet and outlet tangential velocities:
- Inlet tangential velocity = runner speed = 197.7 m/s
- Outlet tangential velocity = (π/30) x 1.4 x 430 = 79.1 m/s
3. Find the inlet and outlet angles:
- Outlet angle = tan-1(7/79.1) = 5.02°
- Inlet angle = Outlet angle - (180/π) x cos-1((62/115)^(1/2)) = 16.35°
4. Find the inlet velocity components:
- Inlet absolute velocity = (9.5^2 + 197.7^2)^(1/2) = 198.3 m/s
- Inlet tangential velocity = 197.7 m/s
- Inlet radial velocity = 0
5. Find the inlet guide vane angle:
- Inlet guide vane angle = tan-1((9.5/197.7) x tan(16.35°)) = 33.75°
Therefore, the absolute velocity of water at entry to the runner is 33.75 m/s and the angle of the inlet guide vanes is 16.35°.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer?
Question Description
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct 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 Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct 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 Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer?.
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct 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 Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct 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 Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer?.
Solutions for A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A Francis turbine has a diameter of 1.4 m and rotates at 430 rpm. Water enters the runner without shock with a flow velocity of 9.5 m/s and leaves the runner without whirl with an absolute velocity of 7 m/s. The difference between the sum of the static and potential heads at entrance to the runner and at the exit from the runner is 62 m. The turbine develops 12.25 MW. The flow rate through the turbine is 12 m3/s for a net head of 115 m.Find the absolute velocity of water at entry to the runner and the angle of the inlet guide vanes.a) 33.75 m/s and 16.35°b) 25.75 m/s and 26.35°c) 25.75 m/s and 16.35°d) 33.75 m/s and 60.35°Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup