Question

Water flows down a rectangular channel that is 1.2 m wide and 1 m deep. The flow rate is 0.95 m/s. Estimate the Froude number of the flow.

Answer 1

Answer:

The Froude number of the flow in the channel is 0.253

Explanation:

We know that Froude number for a rectangular channel is given by

$F_{r}=\frac{v}{\sqrt{gy}}$

where,

v = is the velocity of flow

g = is the acceleration due to gravity

y = depth of flow

We know that velocity is calculated from the flow rate as

$v=\frac{Q}{Area}\\\\\therefore v=\frac{0.95}{1.2\times 1}=0.792m/s$

Applying the given values in the equation we obtain Froude number as follows$Hence\\\\F_{r}=\frac{0.792}{\sqrt{9.81\times 1}}=0.253$