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For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known as
- a)alternate depths
- b)critical depths
- c)normal depths
- d)sequent depths
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a given discharge in an open channel, there are two depths which h...
Depth with same specific energy are called Alternate depths of flow. It represents a subcritical
depth of flow (Y2) and a supercritical depth of flow (Y1 ).
depth of flow (Y2) and a supercritical depth of flow (Y1 ).
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For a given discharge in an open channel, there are two depths which h...
Alternate Depths in Open Channel Flow
Introduction:
In open channel flow, the depth of the channel plays an important role in determining the flow characteristics. The specific energy of the flow is a function of the depth, velocity, and gravity. At a given discharge, there are two depths that have the same specific energy. These depths are called alternate depths.
Explanation:
When a fluid flows in an open channel, it has a certain amount of energy. This energy is a combination of kinetic energy, potential energy, and pressure energy. The specific energy is defined as the energy per unit weight of fluid.
At a given discharge, there are two depths that have the same specific energy. These depths are known as alternate depths. When a fluid flows in an open channel, it takes the path of least resistance. The path of least resistance is the path that minimizes the total energy of the flow.
Calculation of Alternate Depths:
The alternate depths can be calculated using the specific energy equation. The specific energy equation is given by:
E = y + (Q^2/2gy^2)
Where,
E = specific energy
y = depth of flow
Q = discharge
g = acceleration due to gravity
To calculate the alternate depths, the specific energy equation is solved for two different depths, and the resulting equations are set equal to each other. This gives us two equations that can be solved simultaneously to find the two alternate depths.
Conclusion:
Alternate depths are important in open channel flow as they help determine the flow characteristics at a given discharge. They are calculated using the specific energy equation, and there are two depths that have the same specific energy at a given discharge.
Introduction:
In open channel flow, the depth of the channel plays an important role in determining the flow characteristics. The specific energy of the flow is a function of the depth, velocity, and gravity. At a given discharge, there are two depths that have the same specific energy. These depths are called alternate depths.
Explanation:
When a fluid flows in an open channel, it has a certain amount of energy. This energy is a combination of kinetic energy, potential energy, and pressure energy. The specific energy is defined as the energy per unit weight of fluid.
At a given discharge, there are two depths that have the same specific energy. These depths are known as alternate depths. When a fluid flows in an open channel, it takes the path of least resistance. The path of least resistance is the path that minimizes the total energy of the flow.
Calculation of Alternate Depths:
The alternate depths can be calculated using the specific energy equation. The specific energy equation is given by:
E = y + (Q^2/2gy^2)
Where,
E = specific energy
y = depth of flow
Q = discharge
g = acceleration due to gravity
To calculate the alternate depths, the specific energy equation is solved for two different depths, and the resulting equations are set equal to each other. This gives us two equations that can be solved simultaneously to find the two alternate depths.
Conclusion:
Alternate depths are important in open channel flow as they help determine the flow characteristics at a given discharge. They are calculated using the specific energy equation, and there are two depths that have the same specific energy at a given discharge.
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For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known asa)alternate depthsb)critical depthsc)normal depthsd)sequent depthsCorrect answer is option 'A'. Can you explain this answer?
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