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A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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
- a)S1
- b)S2
- c)M1
- d)M2
Correct answer is option 'C'. Can you explain this answer?
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A 1 m wide rectangular channel has a bed slope of 0.0016 and the Manni...
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A 1 m wide rectangular channel has a bed slope of 0.0016 and the Manni...
Given Information:
- Width of the rectangular channel (B) = 1 m
- Bed slope (S) = 0.0016
- Mannings roughness coefficient (n) = 0.04
- Flow depth at uniform flow (y1) = 0.5 m
- Flow depth at a particular section (y2) = 0.6 m
Solution:
To determine the type of gradually varied flow (GVF) at the given section, we need to calculate the specific energy at both uniform flow depth and the observed flow depth.
Step 1: Calculate Specific Energy at Uniform Flow Depth (y1)
The specific energy at uniform flow depth can be calculated using the specific energy equation:
Specific Energy (E1) = y1 + (Q^2 / (2g * A^2)) - (S * L)
Where:
- y1 = Flow depth at uniform flow
- Q = Discharge
- A = Cross-sectional area
- g = Acceleration due to gravity
- S = Bed slope
- L = Hydraulic radius = A / P
- P = Wetted perimeter = B + 2y1
By substituting the given values:
E1 = 0.5 + (Q^2 / (2g * A^2)) - (0.0016 * L)
Step 2: Calculate Specific Energy at Observed Flow Depth (y2)
The specific energy at the observed flow depth can be calculated using the same equation as above, with the observed flow depth (y2) substituted:
E2 = 0.6 + (Q^2 / (2g * A^2)) - (0.0016 * L)
Step 3: Compare Specific Energies to Determine GVF Classification
After calculating the specific energies at both flow depths, we can compare them to determine the type of gradually varied flow (GVF).
If E1 > E2, the flow profile is classified as M1 (Mild slope).
If E1 < e2,="" the="" flow="" profile="" is="" classified="" as="" m2="" (steep="" />
If E1 = E2, the flow profile is classified as S1 (Subcritical) or S2 (Supercritical).
In this case, the specific energy at the observed flow depth is greater than the specific energy at uniform flow depth (E2 > E1), indicating a steep slope. Therefore, the GVF profile at the given section is classified as M1.
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A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer?
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A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer?.
A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice A 1 m wide rectangular channel has a bed slope of 0.0016 and the 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 a)S1b)S2c)M1d)M2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
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