a. A channel cross-section, commonly called a gutter, forms at the side of a street next to a curb during rainfall conditions. The slope along the roadway is 0.0005, and the Manning roughness coefficient is 0.015. Assuming that uniform flow conditions occur. Determine the discharge if the depth of the flow is y0= 12 cm. b. Water at 10 °C is flowing under the sluice gate in a horizontal rectangular channel that is 5 m wide, as seen in the figure below. The depths y1 and y2 are 2.5 m and 10 cm, respectively. Determine the following: i. The discharge flow rate. ii. The depth downstream of the jump at location 3. iii. The power lost in the hydraulic jump.
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### Part A: Discharge in a Gutter ** Show more…
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Adi S.
The cross-section of a storm/surface water open drainage channel is shown in Figure A5. Determine the storm/surface water flow velocity by using the Chezy Formula with the following information: Chezy formula: v = C x √mi Chezy coefficient: C = 54 Hydraulic mean depth: m = Cross-section Area, (A) / Wetted Perimeter, (P) Pipe slope: i = 1:400
The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation $$V=1.486 \frac{A^{2 / 3} S^{1 / 2}}{p^{2 / 3} n}$$ Here $V$ is the velocity of the flow in $\mathrm{ft} / \mathrm{s} ; A$ is the cross- sectional area of the channel in square feet; $S$ is the down- ward slope of the channel; $p$ is the wetted perimeter in feet the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and $n$ is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, $A=75 \mathrm{ft}^{2}, S=0.050, p=24.1 \mathrm{ft},$ and $n=0.040$. (a) Find the speed with which water flows through this canal. (b) How many cubic feet of water can the canal discharge per second? [Hint: Multiply $V$ by $A$ to get the volume of the flow per second.]
Breanna O.
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