Flow Rate Formula:
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Definition: This calculator determines the volumetric flow rate of a liquid through a pipe based on velocity and cross-sectional area.
Purpose: It helps engineers, plumbers, and fluid system designers calculate flow rates in gallons per minute (GPM) for piping systems.
The calculator uses the formula:
Where:
Explanation: The formula converts the basic volumetric flow rate (V × A) from ft³/s to GPM.
Details: Accurate flow rate calculations ensure proper pipe sizing, pump selection, and system performance in plumbing, irrigation, and industrial applications.
Tips: Enter the fluid velocity in ft/s and pipe cross-sectional area in ft². For circular pipes, area = π × (diameter/2)².
Q1: What's a typical velocity for water in pipes?
A: Residential plumbing typically uses 4-8 ft/s, while industrial systems may go higher (up to 10-15 ft/s for some applications).
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) × 60 (seconds per minute) = 448.8312.
Q4: Does this work for any fluid?
A: Yes, but the velocity should be appropriate for the specific fluid's viscosity and the system's requirements.
Q5: What if I know pipe diameter instead of area?
A: First calculate area using \( A = \pi \times (D/2)^2 \), then use this calculator with that area value.