Flow Converter
Print pageAll Equivalents Reference Table
| Unit | Equivalent Value |
|---|
Volumetric Flow Rate (symbolized by Q or V˙) measures the volume of fluid passing through a given cross-sectional area per unit of time (Q = A · v = dV ÷ dt, where A is cross-sectional pipe or channel area and v is mean flow velocity). Across municipal water supply distribution, HVAC ductwork air balancing, crude oil pipeline transport, river flood discharge monitoring, agricultural irrigation canals, and chemical process dosing, volumetric flow rates are categorized across four major engineering unit families: International System of Units (SI metric fundamental: Cubic Meters per Second / m3/s, Cubic Meters per Hour / m3/h, Liters per Second / L/s, Liters per Minute / L/min), US Customary Liquid & Gas standards (Gallons per Minute / GPM, Gallons per Day / GPD, Cubic Feet per Second / cfs, Cubic Feet per Minute / CFM), Imperial UK standards (Imperial Gallons per Minute / GPM (UK)), and Petroleum / Hydrological sector standards (Barrels per Day / BPD, Kilobarrels per Day / KBPD, Acre-Feet per Day / ac·ft/d, Acre-Feet per Year / ac·ft/y).
Our free online Flow Converter provides instant, high-precision conversions across all SI metric, Imperial US, UK, petroleum, and hydrological volumetric flow units:
- Cubic Feet per Second to GPM & L/s [River Hydrology Standard]:
1 cfs (ft3/s) = 448.831169 GPM = 28.3168466 L/s = 0.02831685 m3/s = 101.9406 m3/h. - US Gallons per Minute to Liters per Second [Pumping Standard]: Multiply GPM by
0.0630902(1 GPM = 0.06309 L/s = 3.78541 L/min = 0.22712 m3/h = 34.2857 BPD). - Cubic Meters per Hour to GPM & L/min [Industrial Pipe Standard]: Multiply m3/h by
4.4028675(1 m3/h = 4.40287 GPM = 16.66667 L/min = 0.27778 L/s = 150.963 BPD). - Barrels per Day to GPM [Petroleum Pipeline Standard]: Multiply BPD (bbl/d) by
0.02916667(1,000 BPD = 29.1667 GPM = 1.84013 L/s = 6.62447 m3/h = 158.987 m3/day). - Cubic Feet per Minute to m3/h & L/min [HVAC Airflow Standard]: Multiply CFM by
1.6990108(1 CFM = 1.69901 m3/h = 28.31685 L/min = 0.47195 L/s = 7.48052 GPM). - Acre-Feet per Day to cfs & GPM [Irrigation Canal Standard]: Multiply ac·ft/d by
0.5041667(1 ac·ft/d = 0.50417 cfs = 226.282 GPM = 14.2765 L/s = 1,233.48 m3/day).
Master Volumetric Flow Rate Conversion Table
The table below displays exact mathematical conversion relationships, SI m3/s multipliers, and imperial GPM & L/s equivalents relative to 1 Cubic Meter per Second (1 m3/s = 1,000 L/s):
| Volumetric Flow Unit Name | Symbol | Exact Value in m3/s | GPM, L/s & cfs Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Cubic Meter per Second | m3/s |
1.0 m3/s (Base SI Unit) |
15,850.32 GPM (1,000.0 L/s / 35.3147 cfs / 543,439 BPD) |
SI Fundamental Fluid Dynamics & Large River Standard |
| 1 Cubic Foot per Second | cfs, ft3/s |
0.02831685 m3/s |
448.831 GPM (28.3168 L/s / 101.941 m3/h / 15,395 BPD) |
US Geological Survey (USGS) River Streamflow Benchmark |
| 1 US Gallon per Minute | GPM, gal/min |
0.0000630902 m3/s |
0.0630902 L/s (3.78541 L/min / 0.22712 m3/h / 34.2857 BPD) |
US Mechanical Pumping, Plumbing & Fire Protection |
| 1 Liter per Second | L/s |
0.001 m3/s |
15.8503 GPM (60.0 L/min / 3.60 m3/h / 0.035315 cfs) |
Global Metric Municipal Water Supply & Piping Standard |
| 1 Cubic Meter per Hour | m3/h |
0.0002777778 m3/s |
4.40287 GPM (0.27778 L/s / 16.6667 L/min / 150.963 BPD) |
European & Industrial Process Water Flow Rating |
| 1 US Barrel per Day | BPD, bbl/d |
0.00000184013 m3/s |
0.0291667 GPM (0.0018401 L/s / 0.158987 m3/day) |
Global Petroleum Crude Oil & Refinery Production |
| 1 Cubic Foot per Minute | CFM, ft3/min |
0.0004719474 m3/s |
1.69901 m3/h (28.3168 L/min / 0.47195 L/s / 7.48052 GPM) |
HVAC Fan Ventilation & Compressed Air Delivery |
| 1 Acre-Foot per Day | ac·ft/d |
0.01427647 m3/s |
226.282 GPM (0.50417 cfs / 14.2765 L/s / 51.395 m3/h) |
Agricultural Irrigation Reservoir & Canal Discharge |
Step-by-Step Municipal Water Main Pumping Calculation Example
To convert a water utility booster station pumping 2,500 US Gallons per Minute (2,500 GPM) into metric Liters per Second (L/s), Cubic Meters per Hour (m3/h), and river hydrological Cubic Feet per Second (cfs):
Step 1 (Metric L/s Conversion): Q = 2,500 × 0.0630902 = 157.7255 L/s (157.73 L/s)
Step 2 (Metric m3/h Conversion): Q = 2,500 × 0.2271247 = 567.812 m3/h
Step 3 (Hydrological cfs Conversion): Q = 2,500 ÷ 448.83117 = 5.5698 cfs (5.57 cfs)
Thus, a 2,500 GPM water pump delivers 157.73 Liters per Second, 567.81 m3/h, or 5.57 cfs.
Real-World Hydrological & Industrial Flow Rate Benchmarks
Below is a comparative reference chart showing volumetric flow rates across household plumbing, fire protection, oil pipelines, HVAC ventilation, and major global rivers:
| Flow System / Fluid Environment | Volumetric Flow in Imperial (GPM / cfs / BPD / CFM) | Metric Equivalent (L/s / m3/h / m3/s) | Fluid Dynamics & Hydraulic Engineering Context |
|---|---|---|---|
| Residential Water-Saving Showerhead | 2.0 GPM | 0.126 L/s (7.57 L/min / 0.454 m3/h) | Standard EPA WaterSense plumbing fixture rate |
| Municipal Fire Hydrant Water Discharge | 1,000.0 GPM (2.228 cfs) | 63.09 L/s (227.12 m3/h) | Class AA commercial fire fighting pressure flow |
| Commercial Building HVAC Fan Unit (AHU) | 20,000.0 CFM | 9.439 m3/s (33,980 m3/h / 9,439 L/s) | Large commercial office building air ventilation circulation |
| Trans-Alaska Crude Oil Pipeline (TAPS Peak Rate) | 1,500,000.0 BPD (43,750 GPM / 97.47 cfs) | 2.760 m3/s (9,936 m3/h / 2,760 L/s) | Major 48-inch trans-continental crude oil trunkline rate |
| Mississippi River Average Estuary Streamflow | 593,000.0 cfs (266,156,000 GPM) | 16,792.0 m3/s (60.45 Million m3/h) | Largest river system flow rate in North America |
| Amazon River Average Ocean Discharge | 7,380,000.0 cfs (3.31 Billion GPM) | 209,000.0 m3/s (752.4 Million m3/h) | World’s largest river flow (20% of Earth’s total river ocean runoff!) |
History & Physics: 1738 Bernoulli Continuity Equation vs 1839 Hagen-Poiseuille Pipe Flow Law
1738 Daniel Bernoulli & the Continuity Equation (Q = A · v)
In 1738, Swiss mathematician and physicist Daniel Bernoulli published Hydrodynamica, establishing the conservation of fluid mass in motion: Q = A1 · v1 = A2 · v2. Bernoulli proved that for an incompressible fluid flowing through a closed conduit, reduction in pipe cross-sectional area A causes a proportional increase in fluid velocity v, establishing the fundamental law of hydraulic flow rate Q = A · v.
1839 Hagen-Poiseuille Law of Pipe Flow (Q ∝ r4)
In 1839, German engineer Gotthilf Hagen and French physician Jean Léonard Marie Poiseuille independently derived the mathematical equation for laminar fluid flow through cylindrical pipes: Q = (π · r4 · ΔP) ÷ (8 · μ · L). They proved that volumetric flow rate Q is proportional to the fourth power of pipe radius (r4)—meaning doubling a pipe diameter increases flow capacity by 16 times under identical pressure differentials!
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Frequently Asked Questions (FAQ)
How do you convert cfs to GPM?
To convert Cubic Feet per Second (cfs) to US Gallons per Minute (GPM), multiply by 448.831. For example, a streamflow of 2.0 cfs × 448.831 = 897.66 GPM.
How do you convert GPM to Liters per Second (L/s)?
To convert US Gallons per Minute (GPM) to Liters per Second (L/s), multiply GPM by 0.0630902 (or divide by 15.8503). For example, a 100 GPM pump × 0.0630902 = 6.31 L/s.
How do you convert CFM to m3/h for HVAC ventilation?
To convert Cubic Feet per Minute (CFM) to Cubic Meters per Hour (m3/h), multiply CFM by 1.69901. For example, an HVAC fan delivering 5,000 CFM × 1.69901 = 8,495.05 m3/h.
How many GPM is 1 Barrel per Day (BPD) of oil?
One US Barrel per Day (1 BPD) equals 0.0291667 GPM. Conversely, 1 GPM equals 34.2857 BPD. A 100,000 BPD oil pipeline transports 2,916.67 GPM.