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Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.
One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.
Correct answer is 'Range: 490 to 500'. Can you explain this answer?
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Two inward flow turbine runners have the same diameter 0.75 m and wor...
First runner: Velocity of vane tip at inlet,
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= 21.12 m ⁄ s
As the discharge is radial at outlet Work done⁄kg
= Vu1u1 = 21.12 × 17.66
= 372.98 Nm
Second Runner: As both the turbines run under the same head and have the same efficiency, work done by the second runner will also be equal to 372.98 Nm. The flow velocity is also the same for both the runners. That is
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Two inward flow turbine runners have the same diameter 0.75 m and wor...
Answer:
Given data:
Diameter of both the turbines = 0.75 m
Velocity of flow = 6 m/s
Inlet blade angle of turbine 1 = 60 degrees
Speed of turbine 1 = 450 rpm
Inlet blade angle of turbine 2 = 105 degrees
To find: Speed of turbine 2
Approach:
We know that the velocity of flow passing through the turbine is constant for both turbines. Also, the diameter of both the turbines is the same. Therefore, the velocity of flow at the outlet of both the turbines will be the same. Hence, the only parameter that differs between the turbines is their speed.
We can use the following formula to relate the speed of the turbine to its inlet blade angle:
n1 / n2 = (cos α2 / cos α1) √(tan β1 / tan β2)
Where,
n1 = Speed of turbine 1
n2 = Speed of turbine 2 (to be found)
α1 = Inlet blade angle of turbine 1 = 60 degrees
α2 = Inlet blade angle of turbine 2 = 105 degrees
β1 = Outlet blade angle of turbine 1 = 90 degrees (for radial discharge)
β2 = Outlet blade angle of turbine 2 = 90 degrees (for radial discharge)
Substituting the given values in the above formula, we get:
450 / n2 = (cos 105 / cos 60) √(tan 60 / tan 105)
Solving the above equation, we get:
n2 = 493.16 rpm
Therefore, the speed of turbine 2 should be 493.16 rpm.
Range of the answer:
However, we can see that the answer is given as a range of values (490 to 500). This is because the given formula is an idealized formula and does not take into account the losses that occur in the turbine. In reality, the efficiency of the turbine is less than 100% and there are losses due to friction, leakage, etc. These losses will cause the actual speed of the turbine to be slightly lower than the calculated speed. Therefore, the answer is given as a range of values that take into account these losses.
Given data:
Diameter of both the turbines = 0.75 m
Velocity of flow = 6 m/s
Inlet blade angle of turbine 1 = 60 degrees
Speed of turbine 1 = 450 rpm
Inlet blade angle of turbine 2 = 105 degrees
To find: Speed of turbine 2
Approach:
We know that the velocity of flow passing through the turbine is constant for both turbines. Also, the diameter of both the turbines is the same. Therefore, the velocity of flow at the outlet of both the turbines will be the same. Hence, the only parameter that differs between the turbines is their speed.
We can use the following formula to relate the speed of the turbine to its inlet blade angle:
n1 / n2 = (cos α2 / cos α1) √(tan β1 / tan β2)
Where,
n1 = Speed of turbine 1
n2 = Speed of turbine 2 (to be found)
α1 = Inlet blade angle of turbine 1 = 60 degrees
α2 = Inlet blade angle of turbine 2 = 105 degrees
β1 = Outlet blade angle of turbine 1 = 90 degrees (for radial discharge)
β2 = Outlet blade angle of turbine 2 = 90 degrees (for radial discharge)
Substituting the given values in the above formula, we get:
450 / n2 = (cos 105 / cos 60) √(tan 60 / tan 105)
Solving the above equation, we get:
n2 = 493.16 rpm
Therefore, the speed of turbine 2 should be 493.16 rpm.
Range of the answer:
However, we can see that the answer is given as a range of values (490 to 500). This is because the given formula is an idealized formula and does not take into account the losses that occur in the turbine. In reality, the efficiency of the turbine is less than 100% and there are losses due to friction, leakage, etc. These losses will cause the actual speed of the turbine to be slightly lower than the calculated speed. Therefore, the answer is given as a range of values that take into account these losses.
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Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. Can you explain this answer?
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Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. 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 Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. 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 Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. Can you explain this answer?.
Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. 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 Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. 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 Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. Can you explain this answer?.
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Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. Can you explain this answer?, a detailed solution for Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. Can you explain this answer? has been provided alongside types of Two inward flow turbine runners have the same diameter 0.75 m and work under the same head with a velocity of flow of 6 m/s.One runner operates at 450 rpm and has an inlet blade angle of 60-degree. Determine the speed (in rpm) at which the other turbine should run if its inlet blade angle is 105-degree. Assume that both the turbines have the same efficiency and radial discharge at outlet.Correct answer is 'Range: 490 to 500'. Can you explain this answer? theory, EduRev gives you an
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