The flow rate of water through a 8-m-wide (into the paper) channel is controlled

Question

The flow rate of water through a 8-m-wide (into the paper) channel is controlled by a sluice gate. If the flow depths are measured to be 1.3 and 0.45 m upstream and down stream from the gates, respectively, determine the force acting on the sluice gate assuming flow velocity before the sluice gate is 3 m/s. What is the force acting on the sluice gate when the gate is closed.

Consider water flow over a 0.80-m-high sufficiently long broad-crested weir. If the minimum flow depth above the weir is measured to be 0.50 m, determine the flow rate per meter width of channel and the flow depth upstream of the weir. The flow rate of water through a 8-m-wide (into the paper) channel is controlled by a sluice gate. If the flow depths are measured to be 1.3 and 0.45 m upstream and downstream from the gates, respectively, determine the flow rate and the Froude number downstream from the gate.

Explanation / Answer

Upstream cross sectional flow area

A1=By1

=8 x1.3 =10.4m^2

downstream cross sectional flow area

A2=By2

=8 x4.5= 3.6 m^2

Upstream velocity is given by

V1= v/10.4m^2

Down stream velocity is given by

V1= v/3.6m^2

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