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Derive the expression for the depth of Hydraulic Jump in case of Upstream Froudes number.
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Let

V1= Velocity of flow on the upstream side

d= Depth of flow on upstream side

Then Froude Number (Fe)1 on the upstream side of the jump is given by

(Fe)1=V1gd1.....(i)

Depth of flow after the hydraulic jump is d2 given by,

d2=d12+d214+2V21d1g=d12+d214(1+8V21gd1)=d12+d121+8V21gd1.....(ii)

But from equation (i),

(Fe)1=V1gd1(Fe)21=V21gd1

Substituting this value in equation (ii), we get

d2=d12+d121+8(Fe)21=d12(1+8(Fe)211)

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