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If the specific energy at the upstream section of a rectangular channel is 3 m and minimum specific energy is 2.5 m, the maximum height of hump without causing afflux will be
- a)0.50m
- b)1.20m
- c)2.50m
- d)5.50m
Correct answer is option 'A'. Can you explain this answer?
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If the specific energy at the upstream section of a rectangular channe...
Calculation of Maximum Height of Hump without Causing Afflux
Given data:
Specific energy at upstream section (E1) = 3 m
Minimum specific energy (Em) = 2.5 m
To determine the maximum height of hump without causing afflux, we can use the following formula:
h = (E1 - Em)/2
where h is the maximum height of hump.
Substituting the given values, we get:
h = (3 - 2.5)/2
h = 0.25 m
Therefore, the maximum height of hump without causing afflux is 0.25 m, which is closest to option A (0.50 m).
Explanation:
When water flows through a rectangular channel, it possesses a certain amount of energy, which is known as specific energy. This energy is a combination of kinetic energy and potential energy. The specific energy at any section of the channel depends on the depth of water, the velocity of flow, and the channel geometry.
If there is a sudden change in the channel geometry, such as a hump or a drop, the specific energy of the flow can be affected. If the hump is too high, it can cause the water level to rise upstream of the hump, resulting in a phenomenon called afflux. Afflux can cause flooding and damage to the surrounding areas.
To prevent afflux, it is important to determine the maximum height of the hump that can be allowed. This can be done by calculating the difference between the specific energy at the upstream section and the minimum specific energy that can be allowed without causing afflux (known as the critical specific energy). This difference is then divided by two to obtain the maximum height of the hump that can be allowed.
In this question, the specific energy at the upstream section is given as 3 m, and the minimum specific energy is given as 2.5 m. Substituting these values in the formula, we obtain the maximum height of the hump as 0.25 m. This means that a hump higher than 0.25 m can cause afflux and should be avoided.
Given data:
Specific energy at upstream section (E1) = 3 m
Minimum specific energy (Em) = 2.5 m
To determine the maximum height of hump without causing afflux, we can use the following formula:
h = (E1 - Em)/2
where h is the maximum height of hump.
Substituting the given values, we get:
h = (3 - 2.5)/2
h = 0.25 m
Therefore, the maximum height of hump without causing afflux is 0.25 m, which is closest to option A (0.50 m).
Explanation:
When water flows through a rectangular channel, it possesses a certain amount of energy, which is known as specific energy. This energy is a combination of kinetic energy and potential energy. The specific energy at any section of the channel depends on the depth of water, the velocity of flow, and the channel geometry.
If there is a sudden change in the channel geometry, such as a hump or a drop, the specific energy of the flow can be affected. If the hump is too high, it can cause the water level to rise upstream of the hump, resulting in a phenomenon called afflux. Afflux can cause flooding and damage to the surrounding areas.
To prevent afflux, it is important to determine the maximum height of the hump that can be allowed. This can be done by calculating the difference between the specific energy at the upstream section and the minimum specific energy that can be allowed without causing afflux (known as the critical specific energy). This difference is then divided by two to obtain the maximum height of the hump that can be allowed.
In this question, the specific energy at the upstream section is given as 3 m, and the minimum specific energy is given as 2.5 m. Substituting these values in the formula, we obtain the maximum height of the hump as 0.25 m. This means that a hump higher than 0.25 m can cause afflux and should be avoided.
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Community Answer
If the specific energy at the upstream section of a rectangular channe...
Sp. energy at u/s, y1 = 3 m
min. sp. energy, y2 = 2.5 m
from power loss of hydraulic jump,
height of hump = y1 - y2
= 3.0 - 2.5 = 0.5
check it once.
I might be wrong as I hardly recall this topic which I left untouched since few couple of years.
min. sp. energy, y2 = 2.5 m
from power loss of hydraulic jump,
height of hump = y1 - y2
= 3.0 - 2.5 = 0.5
check it once.
I might be wrong as I hardly recall this topic which I left untouched since few couple of years.
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If the specific energy at the upstream section of a rectangular channel is 3 m and minimum specific energy is 2.5 m, the maximum height of hump without causing afflux will bea)0.50m b)1.20m c)2.50m d)5.50mCorrect answer is option 'A'. Can you explain this answer?
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