Energy-Depth Relationships

# Energy-Depth Relationships | Irrigation Engineering - Civil Engineering (CE) PDF Download

Bernoulli’s equation can be applied to a flow through an open channel. In the case of flow through an open channel, the stream lines are straight and parallel or a little curved. As per Bernoulli’s equation, total energy per unit weight,
Constant along a stream line.
In the case of an open channel flow height of free surface represents potential head + pressure head, as shown in the figure.

So Bernoulli’s equation for an open channel flow is simplified as,
Height of liquid surface above datum + (v2/2g) = Constant (neglecting the frictional losses)
If frictional losses are considered, the Bernoulli’s equation for an open channel can be written as,
Where, hf = frictional loss, V1 and V2 are average flow velocities, h1 and h2 are depth of flow and Z1 and Z2 are channel bed heights at two section 1 and 2 as shown in the figure.

To account for non-uniformity of velocity over a crosssection, the equation can be modified as,

The document Energy-Depth Relationships | Irrigation Engineering - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Irrigation Engineering.
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## Irrigation Engineering

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## Irrigation Engineering

7 videos|35 docs|31 tests

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