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.