In a gradually varied flow in a channel the depth of flow and critical depth are $y$ and $y_{c}$ , respectively.
If $E$ is the specific energy and would be

negative if

y > y_{c}

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always negative

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positive if

y > y_{c}

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always positive

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Solution

The correct option is C positive if $y > y_{c}$
$\frac{d E}{d x} = (1 - F^{2}) \frac{d y}{d x}$
If $y < y_{x}$ i.e supercritical flow (F >1) and $\frac{d E}{d x}$ will be negative.
If $y < y_{x}$ i.e supercritical flow (F<1) and $\frac{d E}{d x}$ will be positive

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Similar questions

Q. In connection with a gradually varied flow with notations

y_{0}

=normal depth,

y_{c}

= critical depth and y = depth in the gradually varied flow, match List -I with List -II and select the correct answer using the codes given below the lists:

List -I List - II
A.

y_{c} > y_{0} > y

M_{1}

y_{0} > y > y_{c}

S_{3}

y > y_{c} > y_{0}

M_{2}

y > y_{0} > y_{c}

S_{1}

Codes:

Q. Consider the following statements in respect of specific energy of flow in an open channel of fixed width:
1. There is only one specific energy curve for a given channel.
2. Alternate depths are the depths of flow at which the specific energy is the same.
3. Critical flow occurs when the specific energy is minimum.
Which of these statements are correct?

Q. which of the following statements are correct?

1. There is only one specific energy curve for a given channel.

2. Alternate depths are the depths of flow at which the specific energy is the same

3. Critical flow occurs when the specific energy is minimum for a given discharge.

At a particular point in the channel, the specific energy and velocity of flow are given by 1.5 m- kg/kg and 2.5m/s respectively. What is the depth of flow in the channel at the point?

Q. A 1 m wide rectangular channel has a bed slope of 0.0016 and Manning's roughness coefficient is 0.04. Uniform flow takes place in the channel at a flow depth of 0.5 m. At a particular section, gradually varied flow (GVF) is observed and the flow depth is measured as 0.6 m. The GVF profile at that section is classified as

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In a gradually varied flow in a channel the depth of flow and critical depth are y and yc, respectively. If E is the specific energy and would be

The correct option is C positive if y>ycdEdx=(1−F2)dydx If y<yx i.e supercritical flow (F >1) and dEdx will be negative. If y<yx i.e supercritical flow (F<1) and dEdx will be positive

In a gradually varied flow in a channel the depth of flow and critical depth are $y$ and $y_{c}$ , respectively.
If $E$ is the specific energy and would be

The correct option is C positive if $y > y_{c}$
$\frac{d E}{d x} = (1 - F^{2}) \frac{d y}{d x}$
If $y < y_{x}$ i.e supercritical flow (F >1) and $\frac{d E}{d x}$ will be negative.
If $y < y_{x}$ i.e supercritical flow (F<1) and $\frac{d E}{d x}$ will be positive