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For a given discharge in a horizontal frictionless channel two depths may have the same specific force. These two depths are known as
  • a)
    specific depth
  • b)
    alternate depth
  • c)
    sequent depth
  • d)
    normal depth and critical depth
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For a given discharge in a horizontal frictionless channel two depths...
In case of same specific energy depth it is called alternate depth and for same specific force it is called sequent depth.
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For a given discharge in a horizontal frictionless channel two depths...
Explanation:

Alternate depth is a term used in open channel flow to describe a depth of flow in a channel that has the same specific energy as the depth at another point in the channel. It is also known as sequent depth.

The specific energy of a fluid is the sum of the fluid's kinetic energy and potential energy per unit weight, and is given by the equation:

E = y + (V^2/2g)

where E is the specific energy, y is the depth of flow, V is the velocity of flow, g is the acceleration due to gravity.

When the specific energy is the same at two points in a channel, the depths at those points are said to be alternate depths.

Alternate depths occur for a given discharge in a horizontal frictionless channel when the Froude number (Fr) is equal to 1. The Froude number is given by the equation:

Fr = V/√(gy)

where V is the flow velocity, y is the depth of flow, and g is the acceleration due to gravity.

When Fr = 1, the specific energy is at a minimum, and the alternate depths occur.

Alternate depths are important in open channel flow calculations, as they allow for the determination of the flow depth and velocity at any point in a channel for a given discharge.

Conclusion:

Alternate or sequent depths occur in open channel flow when the specific energy is the same at two points in a channel. They occur for a given discharge in a horizontal frictionless channel when the Froude number is equal to 1. The determination of alternate depths is important in open channel flow calculations.
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For a given discharge in a horizontal frictionless channel two depths may have the same specific force. These two depths are known asa) specific depthb) alternate depthc) sequent depthd) normal depth and critical depthCorrect answer is option 'C'. Can you explain this answer?
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