Flow Rate Formulas:
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Definition: This calculator estimates the flow rate of water through a pipe based on gravity feed, using height difference and pipe cross-sectional area.
Purpose: It helps engineers, plumbers, and irrigation specialists design gravity-fed water systems without pumps.
The calculator uses Torricelli's law and flow rate conversion:
Where:
Explanation: The velocity is calculated from potential energy conversion, then multiplied by area and conversion factor to get flow rate in GPM.
Details: Proper flow estimation ensures adequate water supply, correct pipe sizing, and efficient system design for gravity-fed applications.
Tips: Enter the height difference (h), pipe cross-sectional area (A), and gravity constant (default 32.174 ft/s²). All values must be > 0.
Q1: What's the 448.83 conversion factor?
A: This converts ft³/s to gallons per minute (1 ft³/s = 448.83 GPM).
Q2: Does this account for friction losses?
A: No, this is theoretical maximum. Actual flow will be less due to pipe friction and turbulence.
Q3: How do I calculate pipe area?
A: For circular pipes: \( A = \pi \times (diameter/2)^2 \). Convert diameter to feet first.
Q4: What's a typical height difference for gravity systems?
A: Residential systems often use 10-30 ft, while large-scale systems may use 100+ ft.
Q5: Can I use this for other liquids?
A: Only for water at standard conditions. Other liquids require density and viscosity adjustments.