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

The Froude number of the flow in the channel is 0.253

Step-by-step explanation:

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

`F_(r)=(v)/(√(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=(Q)/(Area)\\\\\therefore v=(0.95)/(1.2* 1)=0.792m/s`

Applying the given values in the equation we obtain Froude number as follows
`Hence\\\\F_(r)=(0.792)/(√(9.81* 1))=0.253`