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Hydraulic Radius Formula:
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Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit. It is a key parameter in open channel flow calculations.
The calculator uses the hydraulic radius formula:
Where:
Explanation: This formula calculates the hydraulic radius for the most efficient channel section that provides maximum velocity for a given flow.
Details: Accurate hydraulic radius calculation is crucial for designing efficient hydraulic channels, determining flow characteristics, and optimizing water conveyance systems for maximum velocity and minimum resistance.
Tips: Enter the radius of the channel in meters. The value must be valid (radius > 0).
Q1: Why is 0.6806 used as the coefficient?
A: The coefficient 0.6806 is derived from the geometric properties of the most efficient channel section that provides maximum velocity for a given flow condition.
Q2: What are typical hydraulic radius values?
A: Hydraulic radius values vary depending on channel size and shape, but typically range from a few centimeters for small channels to several meters for large conduits.
Q3: How does hydraulic radius affect flow velocity?
A: Larger hydraulic radius generally results in higher flow velocity and more efficient flow, as it indicates a larger cross-sectional area relative to the wetted perimeter.
Q4: Are there limitations to this formula?
A: This formula is specifically for the most efficient channel section. For other channel shapes, different formulas must be used to calculate hydraulic radius.
Q5: Can this calculator be used for pipe flow?
A: While the concept applies, this specific formula is designed for open channel flow. Pipe flow calculations use different approaches for hydraulic radius determination.