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The radius of circular open channel formula calculates the radius of a circular channel based on the wetted perimeter and the half angle subtended by the water surface at the channel's center. This is essential in hydraulic engineering for designing and analyzing circular channel flows.
The calculator uses the formula:
Where:
Explanation: The formula derives from the geometric relationship between the wetted perimeter and the angle subtended by the water surface in a circular channel.
Details: Accurate radius calculation is crucial for determining flow characteristics, designing efficient channel systems, and ensuring proper water management in circular open channels.
Tips: Enter wetted perimeter in meters and half angle in radians. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is wetted perimeter in a circular channel?
A: Wetted perimeter is the length of the channel's boundary that is in contact with the flowing liquid.
Q2: How is the half angle θ measured?
A: The half angle is measured at the center of the circular channel and represents half of the total angle subtended by the water surface.
Q3: What are typical values for circular channel radius?
A: Radius values vary widely depending on application, from small irrigation channels (0.1-0.5m) to large drainage systems (1-5m).
Q4: Can this formula be used for partially full circular channels?
A: Yes, this formula applies to circular channels with any water level, as long as the geometry remains circular.
Q5: What units should be used for inputs?
A: Wetted perimeter should be in meters and half angle should be in radians for consistent results.