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Proportionate Depth Formula:
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Proportionate depth refers to the ratio of the depth of fluid in a partially filled pipe to the depth when the pipe is running full. It is an important parameter in hydraulic engineering for analyzing flow characteristics in partially filled conduits.
The calculator uses the proportionate depth formula:
Where:
Explanation: The formula calculates the ratio of fluid depth in a partially filled circular pipe to the full pipe depth based on the central angle subtended by the fluid surface.
Details: Accurate proportionate depth calculation is crucial for designing drainage systems, sewer networks, and irrigation channels. It helps determine flow velocity, discharge rates, and optimal pipe sizing for various flow conditions.
Tips: Enter the central angle in radians. The central angle must be a positive value between 0 and 2π radians (0-360 degrees) for meaningful results.
Q1: What is the range of proportionate depth values?
A: Proportionate depth ranges from 0 (empty pipe) to 1 (completely full pipe).
Q2: How is central angle related to fluid depth?
A: The central angle represents the angle subtended at the center of the pipe by the fluid surface. A larger central angle corresponds to greater fluid depth.
Q3: Can this formula be used for non-circular pipes?
A: No, this specific formula applies only to circular pipes. Different geometric relationships exist for other pipe shapes.
Q4: What are typical applications of this calculation?
A: This calculation is used in hydraulic engineering for designing sewer systems, drainage networks, and water supply systems where pipes may operate under partially full conditions.
Q5: How accurate is this formula?
A: The formula is mathematically exact for circular pipes and provides precise proportionate depth values when the central angle is accurately known.