Consider gradually varied flow of water in a \(6-\mathrm{m}\) wide rectangular channel with a flow rate of \(8.5 \mathrm{~m}^{3} / \mathrm{s}\) and a Manning coefficient of 0.008 . The slope of the channel is 0.01 , and at the location \(x=0\), the mean flow speed is measured to be \(1.6 \mathrm{~m} / \mathrm{s}\). Determine the classification of the water surface profile, and, by integrating the GVF equation numerically, calculate the flow depth \(y\) at

(a) \(x=150 \mathrm{~m}\),

(b) \(300 \mathrm{~m}\), and

(c) \(600 \mathrm{~m}\).

FIGURE P13-86

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Yo 0 V = 1.6 m/s So=0.01