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A rectangular channel with Gradually Varied Flow (GVF) has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting GVF profile is
- a)S3
- b)S1
- c)S2
- d)either S1 or S2, depending on the magnitude of the slopes
Correct answer is option 'A'. Can you explain this answer?
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A rectangular channel with Gradually Varied Flow (GVF) has a changing ...
**Explanation:**
In Gradually Varied Flow (GVF), the flow depth and velocity change gradually along the flow direction due to the changing channel slope. The GVF profile is represented by a water surface profile, which can be classified into different shapes based on the slope of the channel bed. These shapes are denoted by different curves, such as S1, S2, and S3.
When the bed slope of a rectangular channel changes from a steeper slope to a steep slope, the resulting GVF profile is represented by curve S3. Let's understand why.
**S1 Profile:**
The S1 profile represents a gradually varied flow in a channel with a mild slope. It is characterized by a concave upward curve, where the water depth gradually increases along the flow direction. This type of profile occurs when the channel bed slope is small.
**S2 Profile:**
The S2 profile represents a gradually varied flow in a channel with a steeper slope. It is characterized by a concave upward curve, where the water depth increases rapidly along the flow direction. This type of profile occurs when the channel bed slope is larger than the critical slope.
**S3 Profile:**
The S3 profile represents a gradually varied flow in a channel with a changing bed slope from a steeper slope to a steep slope. It is characterized by a convex upward curve, where the water depth decreases rapidly along the flow direction. This type of profile occurs when there is a sudden decrease in the channel bed slope.
In the given scenario, the change in bed slope from a steeper slope to a steep slope indicates a sudden decrease in the slope. This sudden decrease causes the water depth to decrease rapidly along the flow direction, resulting in a convex upward curve, which is represented by the S3 profile.
Therefore, the correct answer is option **A) S3**.
In Gradually Varied Flow (GVF), the flow depth and velocity change gradually along the flow direction due to the changing channel slope. The GVF profile is represented by a water surface profile, which can be classified into different shapes based on the slope of the channel bed. These shapes are denoted by different curves, such as S1, S2, and S3.
When the bed slope of a rectangular channel changes from a steeper slope to a steep slope, the resulting GVF profile is represented by curve S3. Let's understand why.
**S1 Profile:**
The S1 profile represents a gradually varied flow in a channel with a mild slope. It is characterized by a concave upward curve, where the water depth gradually increases along the flow direction. This type of profile occurs when the channel bed slope is small.
**S2 Profile:**
The S2 profile represents a gradually varied flow in a channel with a steeper slope. It is characterized by a concave upward curve, where the water depth increases rapidly along the flow direction. This type of profile occurs when the channel bed slope is larger than the critical slope.
**S3 Profile:**
The S3 profile represents a gradually varied flow in a channel with a changing bed slope from a steeper slope to a steep slope. It is characterized by a convex upward curve, where the water depth decreases rapidly along the flow direction. This type of profile occurs when there is a sudden decrease in the channel bed slope.
In the given scenario, the change in bed slope from a steeper slope to a steep slope indicates a sudden decrease in the slope. This sudden decrease causes the water depth to decrease rapidly along the flow direction, resulting in a convex upward curve, which is represented by the S3 profile.
Therefore, the correct answer is option **A) S3**.
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Community Answer
A rectangular channel with Gradually Varied Flow (GVF) has a changing ...
Steeper slope → More bed slope than steep
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A rectangular channel with Gradually Varied Flow (GVF) has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting GVF profile isa)S3b)S1c)S2d)either S1 or S2, depending on the magnitude of the slopesCorrect answer is option 'A'. Can you explain this answer?
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