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Derive the conditions for most economical Circular section of channel.
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In case of circular channel, the most economical section has following conditions :

  1. Maximum Velocity

  2. Maximum Discharge

Let

$d=$ depth of water,

$2 \theta=$ angle subtended at the centre by water surface

$R=$ radius of channel, and

$i=$ slope of the bed,

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1. Condition for maximum velocity :

The velocity …

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