Flow Rate Formulas:
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Definition: This calculator estimates the flow rate (in gallons per minute) for a gravity-fed drainage system based on the head height and pipe cross-sectional area.
Purpose: It helps engineers, plumbers, and designers determine the expected flow rate for gravity drainage systems.
The calculator uses two fundamental formulas:
Where:
Explanation: The first formula calculates the theoretical velocity of water under gravity, while the second converts this to flow rate in GPM.
Details: Proper flow rate estimation ensures adequate drainage capacity, prevents system overload, and helps in selecting appropriate pipe sizes.
Tips: Enter the head height (vertical drop), pipe cross-sectional area, 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: Is this the actual flow rate I'll get?
A: This is theoretical maximum; actual rates will be lower due to friction losses and other factors.
Q3: How do I find pipe cross-sectional area?
A: For circular pipes: \( A = \pi \times r^2 \) where r is radius in feet.
Q4: What's typical head height for residential drains?
A: Typically 1/4" per foot (0.25%) slope, but varies by code and application.
Q5: Does this account for pipe friction?
A: No, this is ideal flow. For real-world applications, consider using Hazen-Williams equation.