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A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.
Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer?
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A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The sp...
Given data Width = 2 m, Discharge = 3 m3/s, Let, Super critical depth = y, Sub‒ critical depth = 1.5 y Specific energy at sub-critical depth = Specific energy at super-critical depth
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⇒ y3 = 0.127421
y = 0.5032 m
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A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The sp...
Given information:
- Width of the rectangular channel = 2 m
- Discharge through the channel = 3 m3/s
- Subcritical depth = 1.5 times the supercritical depth
Specific Energy:
Specific energy (E) is defined as the sum of the elevation head (z) and the velocity head (V²/2g) of the flowing water. It is given by the equation:
E = z + (V²/2g)
Specific Energy-Depth Diagram:
A specific energy-depth diagram is a graphical representation of the specific energy at different depths of flow in a channel. It helps in determining the subcritical and supercritical depths for a given discharge.
Steps to solve the problem:
1. Use the given discharge to find the specific energy for the channel.
2. Determine the subcritical and supercritical depths using the specific energy-depth diagram.
3. Use the given relationship between the subcritical and supercritical depths to find the supercritical depth.
Calculations:
1. Specific Energy (E):
Given discharge = 3 m3/s
Width of the channel = 2 m
Using the equation E = Q²/2gA², where A is the cross-sectional area of flow:
E = (3²)/(2*9.81*(2*H)²) [H = depth of flow]
2. Subcritical and Supercritical Depths:
In the specific energy-depth diagram, the subcritical depth is the depth corresponding to the minimum specific energy, while the supercritical depth is the depth corresponding to the maximum specific energy.
3. Relationship between Subcritical and Supercritical Depths:
Given subcritical depth = 1.5 times the supercritical depth
Let the supercritical depth be Hs, then the subcritical depth is 1.5Hs.
4. Finding the Supercritical Depth:
In the specific energy-depth diagram, locate the specific energy value obtained in step 1. The corresponding depth is the supercritical depth.
Conclusion:
The correct answer for the supercritical depth falls within the range of 0.50 to 0.51 meters.
- Width of the rectangular channel = 2 m
- Discharge through the channel = 3 m3/s
- Subcritical depth = 1.5 times the supercritical depth
Specific Energy:
Specific energy (E) is defined as the sum of the elevation head (z) and the velocity head (V²/2g) of the flowing water. It is given by the equation:
E = z + (V²/2g)
Specific Energy-Depth Diagram:
A specific energy-depth diagram is a graphical representation of the specific energy at different depths of flow in a channel. It helps in determining the subcritical and supercritical depths for a given discharge.
Steps to solve the problem:
1. Use the given discharge to find the specific energy for the channel.
2. Determine the subcritical and supercritical depths using the specific energy-depth diagram.
3. Use the given relationship between the subcritical and supercritical depths to find the supercritical depth.
Calculations:
1. Specific Energy (E):
Given discharge = 3 m3/s
Width of the channel = 2 m
Using the equation E = Q²/2gA², where A is the cross-sectional area of flow:
E = (3²)/(2*9.81*(2*H)²) [H = depth of flow]
2. Subcritical and Supercritical Depths:
In the specific energy-depth diagram, the subcritical depth is the depth corresponding to the minimum specific energy, while the supercritical depth is the depth corresponding to the maximum specific energy.
3. Relationship between Subcritical and Supercritical Depths:
Given subcritical depth = 1.5 times the supercritical depth
Let the supercritical depth be Hs, then the subcritical depth is 1.5Hs.
4. Finding the Supercritical Depth:
In the specific energy-depth diagram, locate the specific energy value obtained in step 1. The corresponding depth is the supercritical depth.
Conclusion:
The correct answer for the supercritical depth falls within the range of 0.50 to 0.51 meters.
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A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer?
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A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer?.
A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 2 m wide rectangular channel carries a discharge of 3 m3 /s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponds to a particular specific energy. The subcritical depth is one and half times the super critical depth. The super critical depth (in meters, upto two decimal places) is equal to __________.Correct answer is 'Range: 0.50 to 0.51'. Can you explain this answer?.
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