Flow Rate Formula:
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Definition: This calculator determines the flow rate through a hydraulic hose based on fluid velocity and the hose's cross-sectional area.
Purpose: It helps hydraulic system designers and technicians ensure proper flow rates for efficient system operation.
The calculator uses the formula:
Where:
Explanation: The fluid velocity multiplied by the cross-sectional area gives volumetric flow in ft³/s, which is then converted to GPM.
Details: Proper flow rate ensures hydraulic systems operate efficiently without excessive pressure drops or heat generation.
Tips: Enter the fluid velocity in ft/s and the hose's internal cross-sectional area in ft². All values must be > 0.
Q1: What's a typical velocity for hydraulic systems?
A: Most systems operate with velocities between 4-15 ft/s, with 7-10 ft/s being common for pressure lines.
Q2: How do I find the cross-sectional area?
A: Calculate using \( A = \pi \times (D/2)^2 \) where D is the hose's inner diameter in feet.
Q3: Why the conversion factor 448.83?
A: It converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).
Q4: What affects flow rate in hydraulic systems?
A: Hose diameter, fluid viscosity, system pressure, and temperature all influence actual flow rates.
Q5: When would I need this calculation?
A: When designing new systems, troubleshooting flow issues, or selecting appropriate hose sizes.