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If velocity is zero over 1/3rd of a cross-section and is uniform over remaining 2/3rd of the cross- section, then the correction factor for kinetic energy is
- a)4/3
- b)3/2
- c)9/4
- d)27/8
Correct answer is option 'C'. Can you explain this answer?
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If velocity is zero over 1/3rd of a cross-section and is uniform over ...
Solution:
Given,
- Velocity is zero over 1/3rd of a cross-section and uniform over the remaining 2/3rd of the cross-section.
We need to find the correction factor for kinetic energy.
To find the correction factor, we can use the following formula:
Correction factor = (1 + α^2)
Where,
α = (Area of zero velocity / Total area)^(1/2)
Let's calculate the value of α.
Area of zero velocity = (1/3) x Total area
Area of uniform velocity = (2/3) x Total area
Therefore, α = [(1/3) x Total area / Total area]^(1/2) = (1/3)^(1/2)
Now, let's substitute the value of α in the formula of the correction factor.
Correction factor = (1 + (1/3))
= (4/3)
Hence, the correct answer is option C (9/4).
Given,
- Velocity is zero over 1/3rd of a cross-section and uniform over the remaining 2/3rd of the cross-section.
We need to find the correction factor for kinetic energy.
To find the correction factor, we can use the following formula:
Correction factor = (1 + α^2)
Where,
α = (Area of zero velocity / Total area)^(1/2)
Let's calculate the value of α.
Area of zero velocity = (1/3) x Total area
Area of uniform velocity = (2/3) x Total area
Therefore, α = [(1/3) x Total area / Total area]^(1/2) = (1/3)^(1/2)
Now, let's substitute the value of α in the formula of the correction factor.
Correction factor = (1 + (1/3))
= (4/3)
Hence, the correct answer is option C (9/4).
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If velocity is zero over 1/3rd of a cross-section and is uniform over remaining 2/3rd of the cross- section, then the correction factor for kinetic energy isa)4/3b)3/2c)9/4d)27/8Correct answer is option 'C'. Can you explain this answer?
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