Volumetric Flow Rate Converter
Convert volumetric flow rate units — m³/s, liters per minute, gallons per minute, CFM, and more. Free online flow rate converter for plumbing, HVAC, and fluid engineering.
What Is Volumetric Flow Rate
Volumetric flow rate measures fluid volume passing through a cross-section per unit time. You express this property in cubic meters per second (m³/s) in SI units. Common units include liters per minute, gallons per minute (GPM), and cubic feet per minute (CFM).
Engineers use flow rate to size pipes, pumps, and valves. HVAC professionals calculate air flow for ventilation systems. Process engineers monitor flow rates for quality control and efficiency optimization.
Flow Rate Formulas
Calculate volumetric flow rate from velocity and area:
Q = v × A
Where Q equals volumetric flow rate, v equals fluid velocity, and A equals cross-sectional area.
For a circular pipe:
Q = v × π × D² / 4
Example: Water flows at 2 m/s through a 50 mm diameter pipe:
Q = 2 × π × (0.05)² / 4 = 0.00393 m³/s = 3.93 L/s
Convert to mass flow rate using density: ṁ = ρ × Q. Where ṁ equals mass flow rate and ρ equals fluid density.
Common Flow Rate Values
| Application | L/min | GPM | m³/h |
|---|---|---|---|
| Household faucet | 8-15 | 2-4 | 0.5-0.9 |
| Shower head | 9-19 | 2.5-5 | 0.5-1.1 |
| Garden hose | 30-60 | 8-16 | 1.8-3.6 |
| Fire hydrant | 1900-3800 | 500-1000 | 114-228 |
| HVAC air handler | N/A | N/A | 1700-17000 CFM |
| Industrial pump | 1000-50000 | 264-13200 | 60-3000 |
Continuity Equation
For incompressible flow, mass conservation gives the continuity equation:
Q1 = Q2 or v1 × A1 = v2 × A2
Flow rate remains constant through pipe size changes. Velocity increases when area decreases. This principle governs nozzle and venturi design.
Example: A pipe reduces from 100 mm to 50 mm diameter. If upstream velocity is 1 m/s:
v2 = v1 × (D1/D2)² = 1 × (100/50)² = 4 m/s
Unit Conversion Factors
| From Unit | Multiply By | To Get |
|---|---|---|
| m³/s | 1000 | L/s |
| m³/s | 60000 | L/min |
| m³/h | 4.403 | GPM (US) |
| GPM (US) | 0.227 | m³/h |
| CFM | 1.699 | m³/h |
| L/min | 0.264 | GPM (US) |
Frequently Asked Questions
How do I measure flow rate in a pipe
Use flow meters like orifice plates, venturi tubes, or ultrasonic sensors. Positive displacement meters work for liquids. Turbine meters suit clean fluids. Magnetic meters handle conductive liquids.
What is the difference between GPM and GPM-UK
US gallon equals 3.785 liters while UK gallon equals 4.546 liters. UK GPM values are about 20 percent higher for the same flow. Always specify which gallon standard you use.
How does pressure affect flow rate
Pressure difference drives flow through pipes. For laminar flow, flow rate is proportional to pressure drop. For turbulent flow, flow rate varies with square root of pressure drop.
What is CFM and when is it used
CFM means cubic feet per minute. HVAC professionals use CFM for air flow rates. One CFM equals 1.699 m³/h or 0.472 L/s. Standard CFM references air at standard temperature and pressure.
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