Water Flow Formulas:
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Definition: This calculator estimates the flow rate of water in a gravity-fed system based on head height and pipe cross-sectional area.
Purpose: It helps engineers, plumbers, and irrigation specialists determine water flow rates for systems relying on gravity pressure.
The calculator uses Torricelli's law formulas:
Where:
Explanation: The velocity is calculated from gravitational potential energy conversion, then multiplied by pipe area and conversion factor to get flow rate.
Details: Accurate flow rate estimation ensures proper system design for irrigation, water supply, and drainage systems without requiring pumps.
Tips: Enter the head height (vertical drop), pipe area (πr² for circular pipes), and gravity constant (default 32.174 ft/s²). All values must be > 0.
Q1: What's the 448.83 conversion factor?
A: This converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).
Q2: How do I calculate pipe area?
A: For circular pipes: \( A = \pi \times r^2 \) where r is radius in feet.
Q3: Does this account for friction losses?
A: No, this is theoretical maximum. Actual flow will be less due to pipe friction and turbulence.
Q4: What's a typical head height for gravity systems?
A: Residential systems often use 10-50 ft, while large-scale systems may use 100+ ft.
Q5: Can I use this for other liquids?
A: Only for water at standard conditions. Different densities would require adjustments.