A channel transitions from a width (b 1 = 1.5 m) and an elevation of z 1 = 0 m to a width (b 2 ) an elevation of z 2 = +

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A channel transitions from a width (b 1 = 1.5 m) and anelevation of z 1 = 0 m to a width (b 2 ) an elevation of z 2 =+0.08 m. In other words it is going up a step of Δz = 0.08 m andsimultaneously expands in width. The upstream depth y1 = 0.6 m andthe flowrate in the channel is Q = 1 m 3 /s. This channeltransition is specifically designed so that the water stays at thesame depth throughout.
Calculate the width b 2 required to satisfy theseconditions.

A Channel Transitions From A Width B 1 1 5 M And An Elevation Of Z 1 0 M To A Width B 2 An Elevation Of Z 2 1 (235.88 KiB) Viewed 32 times

A channel transitions from a width (b₁ = 1.5 m) and an elevation of z₁ = 0 m to a width (b₂) an elevation of z2 = +0.08 m. In other words it is going up a step of Az = 0.08 m and simultaneously expands in width. The upstream depth y₁ = 0.6 m and the flowrate in the channel is Q = 1 m³/s. This channel transition is specifically designed so that the water stays at the same depth throughout. Calculate the width b₂ required to satisfy these conditions. b₁ Flow ΔΖ b₂