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Hydraulic Depth of Parabolic Channel Formula:
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Hydraulic Depth of Parabolic Channel is defined as depth which is in contact with water. It represents the ratio of the cross-sectional area of flow to the top width of the flow section in a parabolic channel.
The calculator uses the formula:
Where:
Explanation: For a parabolic channel shape, the hydraulic depth is exactly two-thirds of the actual flow depth. This relationship is derived from the geometric properties of a parabola.
Details: Hydraulic depth is a crucial parameter in open channel flow calculations. It is used in determining flow characteristics, energy calculations, and in the design of efficient hydraulic structures with parabolic cross-sections.
Tips: Enter the depth of flow in meters. The value must be positive and greater than zero. The calculator will compute the corresponding hydraulic depth for a parabolic channel.
Q1: What is the difference between hydraulic depth and hydraulic radius?
A: Hydraulic depth is the ratio of cross-sectional area to top width, while hydraulic radius is the ratio of cross-sectional area to wetted perimeter. They are different parameters used in different flow equations.
Q2: Why is the hydraulic depth for parabolic channel 2/3 of flow depth?
A: This relationship comes from the mathematical properties of a parabola. The cross-sectional area of flow in a parabolic channel is (2/3)×top width×depth, leading to this specific ratio.
Q3: Where are parabolic channels commonly used?
A: Parabolic channels are often used in irrigation systems, drainage channels, and some natural streams due to their efficient flow characteristics and structural stability.
Q4: Can this formula be used for partially filled parabolic channels?
A: Yes, the formula applies to any flow depth in a parabolic channel, as long as the channel maintains its parabolic shape throughout the depth range.
Q5: How does hydraulic depth affect flow velocity calculations?
A: Hydraulic depth is used in the Froude number calculation, which determines whether flow is subcritical or supercritical, and it influences various velocity and energy equations in open channel flow.