# Question 15.17: A sluice gate in a 24 ft wide rectangular channel is observe...

A sluice gate in a 24 ft wide rectangular channel is observed to be operating with an upstream depth y1 = 6 ft and a downstream depth y2 = 1 ft (Figure 15.46). Find the volume ﬂowrate passing through the channel and all other geometric and ﬂow parameters.

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Question: 15.8

## Determine the critical depth and ﬂow velocity in a 10 m wide rectangular channel carrying 50 m³/s. ...

No sketch is necessary here. We know the ﬂowrate a...
Question: 15.19

## A broad crested weir rises 0.3 m high above the bottom of a stream channel. If the measured weir head is y1 − yW = 0.65 m, and the weir is 10 m wide, ﬁnd the volume ﬂowrate crossing the weir and the critical water depth, yC. ...

Figure 15.50 can serve as a sketch. To ﬁnd the vol...
Question: 15.18

## A 16 ft wide irrigation channel is equipped with a sharp-edged, full-width rectangular weir as shown in Figure 15.49. The weir height is 3 ft, and at the maximum design ﬂow the upstream water depth is 4.5 ft. What is the discharge under these conditions? What is the discharge of a 90° V-notch weir ...

We can calculate the ﬂowrate of a full-width recta...
Question: 15.11

## The normal depth in a 6 m wide rectangular irrigation channel is 0.5 m. If the volume ﬂowrate is 0.75 m³/s, and the bed slope is 0.002, as shown in Figure 15.36, ﬁnd the head loss and power dissipation per kilometer of channel. What are the average velocity, Froude number, and average wall shear ...

From SB = tan θ = (h1 − h2)/L, which is Eq. 15.34,...
Question: 15.10

## Water ﬂows over a 0.25 m bump in a constant width, horizontal rectangular channel as shown in Figure 15.34A. The upstream depth and velocity are 0.5 m and 0.2 m/s, respectively. Draw the speciﬁc energy diagram for this ﬂow and ﬁnd the depth and velocity over the bump at point B. Then find the depth ...

We first calculate the upstream Froude number for ...
Question: 15.9

## Find the critical depth and critical ﬂow velocity in a 20 ft wide, 45° trapezoidal channel carrying water at the rate of 640 ft³/s. What are the critical hydraulic depth, critical area, and critical free surface width? ...

The geometry of the ﬂow channel is shown in Figure...
Question: 15.16

## A highway drainage ditch is to carry 10 ft³/s of water in a ﬁnished concrete channel during the worst expected rainstorm. If the slope is SB = 0.001, ﬁnd the dimensions of the optimum rectangular channel and compare with those of an optimum circular channel. Assume uniform flow and that the water ...

No sketch is necessary here. From Table 15.1 the M...
Question: 15.15

## The slope of the culvert in Example 15.13 is to be adjusted so that normal depth will be at least 1.5 m when the culvert is carrying its design ﬂowrate of 4.7 m³/s (Figure 15.40). What slope would you recommend? ...

We know that the volume ﬂowrate is given by Eq. 15...
Question: 15.14