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Hydraulic Radius of Rectangle Formula:
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The Hydraulic Radius of Rectangle 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. For rectangular channels, it's calculated as half the depth of flow.
The calculator uses the formula:
Where:
Explanation: For rectangular channels, the hydraulic radius is simply half of the flow depth, which represents the efficiency of the channel in conveying fluid.
Details: Hydraulic radius is crucial in open channel flow calculations as it directly affects flow velocity, discharge capacity, and energy loss. It's a key parameter in Manning's equation for flow rate calculations.
Tips: Enter the depth of flow in meters. The value must be positive and greater than zero for accurate calculation.
Q1: Why is hydraulic radius important in channel design?
A: Hydraulic radius indicates the efficiency of a channel cross-section. Larger hydraulic radius generally means more efficient flow with less energy loss.
Q2: How does hydraulic radius differ from hydraulic diameter?
A: Hydraulic radius is area divided by wetted perimeter, while hydraulic diameter is 4 times the hydraulic radius. Both are measures of flow efficiency.
Q3: What are typical hydraulic radius values for rectangular channels?
A: Values vary with depth, but for efficient rectangular channels, hydraulic radius typically ranges from 0.1m to several meters depending on channel size.
Q4: Does this formula work for all rectangular channels?
A: Yes, this formula applies to all rectangular open channels regardless of width, as the hydraulic radius depends only on depth for rectangular sections.
Q5: How is hydraulic radius used in practical applications?
A: It's used in Manning's equation to calculate flow velocity, in designing irrigation channels, stormwater systems, and natural stream analysis.