Flow Rate Formula:
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Definition: This calculator estimates the volumetric flow rate in gallons per minute (GPM) through a pipe based on flow velocity and cross-sectional area.
Purpose: It helps engineers, plumbers, and fluid system designers determine the flow capacity of pipes in various applications.
The calculator uses the formula:
Where:
Explanation: The velocity multiplied by area gives flow in cubic feet per second, which is then converted to GPM.
Details: Accurate flow rate calculations ensure proper pipe sizing, system efficiency, and prevent issues like excessive pressure drop or cavitation.
Tips: Enter the flow velocity in ft/s and pipe cross-sectional area in ft². For circular pipes, area = π × (diameter/2)².
Q1: What's a typical flow velocity in pipes?
A: For water systems, 2-5 ft/s is common, with 4-6 ft/s for short runs and 1-3 ft/s for gravity systems.
Q2: How do I calculate pipe cross-sectional area?
A: For circular pipes: \( A = \pi \times r^2 \) where r is radius in feet. For diameter D: \( A = \pi \times (D/2)^2 \).
Q3: Why 448.83 as the conversion factor?
A: It combines 7.48052 (gallons per cubic foot) and 60 (seconds per minute): 7.48052 × 60 = 448.8312.
Q4: Does this work for any fluid?
A: Yes, but the formula assumes incompressible flow. For gases or viscous fluids, additional factors may be needed.
Q5: What's the maximum GPM for a given pipe size?
A: Depends on velocity limits. For 2 ft/s in a 2" pipe (0.0217 ft² area): ~19.5 GPM (2 × 0.0217 × 448.83).