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Hydraulic depth is the ratio of
- a)wetted area to wetted perimeter
- b)Area of flow section and top water surface width.
- c)wetted area to bottom width
- d)wetted perimeter to top width
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Hydraulic depth is the ratio ofa)wetted area to wetted perimeterb)Area...
Solution:
Hydraulic depth (D) is defined as the ratio of the cross-sectional area of flow (A) to the top water surface width (T). This parameter is commonly used in open channel flow to describe the average depth of water.
Mathematically, it is given by:
Where:
- A is the area of the flow section.
- T is the top water surface width.
Therefore, the correct answer is Option B: Area of flow section and top water surface width.
Most Upvoted Answer
Hydraulic depth is the ratio ofa)wetted area to wetted perimeterb)Area...
Hydraulic Depth in Civil Engineering
Hydraulic depth is a term used in fluid mechanics and civil engineering to describe the ratio of the cross-sectional area of flow to the wetted perimeter. It is an essential parameter for analyzing open channel flow and is used to determine the water surface profile, velocity distribution, and friction losses.
Importance of Hydraulic Depth
Hydraulic depth plays a vital role in analyzing open channel flow as it helps in determining the flow characteristics of water. By calculating the hydraulic depth, engineers can understand the depth of water and the amount of resistance to flow. Some of the key benefits of hydraulic depth include:
- It helps in determining the velocity of water in an open channel.
- It helps in analyzing the resistance of the channel bed and walls to water flow.
- It helps in determining the depth of flow in a channel.
Calculation of Hydraulic Depth
Hydraulic depth is calculated as the ratio of the cross-sectional area of flow to the wetted perimeter. The formula for calculating hydraulic depth is:
Dh = A/P
Where,
Dh = Hydraulic depth
A = Cross-sectional area of flow
P = Wetted perimeter
For a rectangular channel, the formula for calculating hydraulic depth is:
Dh = b*y/(b+2y)
Where,
b = Bottom width of the channel
y = Depth of flow
Conclusion
In conclusion, hydraulic depth is an essential parameter for analyzing open channel flow in civil engineering. It helps in determining the velocity of water, resistance to flow, and depth of flow in a channel. The correct answer to the given question is option 'B,' which states that hydraulic depth is the ratio of the cross-sectional area of flow to the wetted perimeter.
Hydraulic depth is a term used in fluid mechanics and civil engineering to describe the ratio of the cross-sectional area of flow to the wetted perimeter. It is an essential parameter for analyzing open channel flow and is used to determine the water surface profile, velocity distribution, and friction losses.
Importance of Hydraulic Depth
Hydraulic depth plays a vital role in analyzing open channel flow as it helps in determining the flow characteristics of water. By calculating the hydraulic depth, engineers can understand the depth of water and the amount of resistance to flow. Some of the key benefits of hydraulic depth include:
- It helps in determining the velocity of water in an open channel.
- It helps in analyzing the resistance of the channel bed and walls to water flow.
- It helps in determining the depth of flow in a channel.
Calculation of Hydraulic Depth
Hydraulic depth is calculated as the ratio of the cross-sectional area of flow to the wetted perimeter. The formula for calculating hydraulic depth is:
Dh = A/P
Where,
Dh = Hydraulic depth
A = Cross-sectional area of flow
P = Wetted perimeter
For a rectangular channel, the formula for calculating hydraulic depth is:
Dh = b*y/(b+2y)
Where,
b = Bottom width of the channel
y = Depth of flow
Conclusion
In conclusion, hydraulic depth is an essential parameter for analyzing open channel flow in civil engineering. It helps in determining the velocity of water, resistance to flow, and depth of flow in a channel. The correct answer to the given question is option 'B,' which states that hydraulic depth is the ratio of the cross-sectional area of flow to the wetted perimeter.
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Community Answer
Hydraulic depth is the ratio ofa)wetted area to wetted perimeterb)Area...
Hydraulic Depth in Fluid Mechanics
Hydraulic depth is an important parameter in fluid mechanics that is used to measure the efficiency of flow in open channels. It is defined as the ratio of the area of flow to the wetted perimeter of the channel.
Formula for Hydraulic Depth
The formula for hydraulic depth can be expressed as:
Dh = A/Pw
where Dh is the hydraulic depth, A is the cross-sectional area of flow, and Pw is the wetted perimeter of the channel.
Significance of Hydraulic Depth
The hydraulic depth is used to determine the resistance of the channel to flow. The greater the hydraulic depth, the lower the resistance to flow. Therefore, channels with greater hydraulic depths are more efficient in transporting water.
Relationship with Froude Number
Hydraulic depth is related to the Froude number, which is a dimensionless parameter used to describe the flow regime in open channels. The Froude number is defined as the ratio of the flow velocity to the square root of the product of the gravitational acceleration and the hydraulic depth.
Importance in Design and Analysis
Hydraulic depth is an important parameter in the design and analysis of open channel systems such as rivers, canals, and irrigation channels. It helps in determining the flow rate, velocity, and pressure distribution in the channel.
Conclusion
In conclusion, hydraulic depth is a crucial parameter in fluid mechanics that is used to measure the efficiency of flow in open channels. It is calculated as the ratio of the area of flow to the wetted perimeter of the channel and is related to the Froude number. Hydraulic depth plays an important role in the design and analysis of open channel systems.
Hydraulic depth is an important parameter in fluid mechanics that is used to measure the efficiency of flow in open channels. It is defined as the ratio of the area of flow to the wetted perimeter of the channel.
Formula for Hydraulic Depth
The formula for hydraulic depth can be expressed as:
Dh = A/Pw
where Dh is the hydraulic depth, A is the cross-sectional area of flow, and Pw is the wetted perimeter of the channel.
Significance of Hydraulic Depth
The hydraulic depth is used to determine the resistance of the channel to flow. The greater the hydraulic depth, the lower the resistance to flow. Therefore, channels with greater hydraulic depths are more efficient in transporting water.
Relationship with Froude Number
Hydraulic depth is related to the Froude number, which is a dimensionless parameter used to describe the flow regime in open channels. The Froude number is defined as the ratio of the flow velocity to the square root of the product of the gravitational acceleration and the hydraulic depth.
Importance in Design and Analysis
Hydraulic depth is an important parameter in the design and analysis of open channel systems such as rivers, canals, and irrigation channels. It helps in determining the flow rate, velocity, and pressure distribution in the channel.
Conclusion
In conclusion, hydraulic depth is a crucial parameter in fluid mechanics that is used to measure the efficiency of flow in open channels. It is calculated as the ratio of the area of flow to the wetted perimeter of the channel and is related to the Froude number. Hydraulic depth plays an important role in the design and analysis of open channel systems.
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