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

$V_1=$ Velocity of flow on the upstream side

$d=$ Depth of flow on upstream side

Then Froude Number $\left(F_{e}\right)_{1}$ on the upstream side of the jump is given by

$$ \left(F_{e}\right)_{1}=\frac{V_{1}}{\sqrt{g d_{1}}} .....(i)$$

Depth of flow after the hydraulic jump is $d_{2}$ given by,

$$ \begin{aligned} d_{2} &=-\frac{d_{1}}{2}+\sqrt{\frac{d_{1}^{2}}{4}+\frac{2 V_{1}^{2} …

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