Determine what is the depth of flow in the constriction

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Reference no: EM13310761

A lined rectangular concrete drainage channel is 10m wide and carries a flow of 8 m3/s. In order to pass the flow under a roadway, the channel is contracted to a width of 6m. Under design conditions, the depth of flow just upstream of the contraction is 1m, and the contraction takes place over a distance of 7m.

(a) If the energy loss in the contraction is equal to \(V_1^{2}/2g\) where V1 is the average velocity upstream of the contraction, what is the depth of flow in the constriction?

(b) Does consideration of energy losses have a significant effect on the depth of flow in the constriction?

(c) If the width of the constriction is reduced to 4.5m and a flow of 8 m3/s is maintained, determine the depth of flow within the constriction (include energy losses).

(d) If reducing the width of the constriction to 4.5m influences the upstream depth, determine the new upstream depth.

Reference no: EM13310761

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