Physics

Fluid Flow Calculator

Calculate volumetric flow rate from cross-sectional area and velocity or from measured volume and time.

CALCULATOR

Enter your numbers

Instant results
0.0200 m^3/s
Volumetric Flow Rate
1200.00 L/min
Flow Rate (Liters/Min)
Continuity equation: Q = A × v
Q = 0.01 × 2
Q = 0.0200 m³/s
Q = 1200.00 liters/min

THE NUMORIX GUIDE

How to use the Fluid Flow Calculator

Last reviewed September 14, 2026

What this calculator does

The area-and-velocity mode uses the continuity relation Q = A v.

Formula and method

The area-and-velocity mode uses the continuity relation Q = A v. The volume-and-time mode uses the average flow definition Q = V/t. The engine converts cubic meters per second to liters per minute by multiplying by 60,000.

Variables and inputs

In area mode, enter cross-sectional area A in m^2 and average velocity v in m/s. In volume mode, enter volume V in m^3 and time t in seconds; the defaults are A = 0.01, v = 2, V = 0.12, and t = 30.

Worked example

For A = 0.01 m^2 and v = 2 m/s: Q = 0.01(2) = 0.02 m^3/s = 1,200 L/min. In volume mode, V = 0.12 m^3 over 30 s gives Q = 0.004 m^3/s = 240 L/min.

How to interpret the result

Volumetric flow rate tells how much fluid volume crosses a section per unit time. The area mode uses an average velocity over a cross-section; the volume mode reports an average over the entered time interval.

Common mistakes to avoid

Use cross-sectional area, not pipe diameter, and convert liters to cubic meters before using Q = V/t. Keep time in seconds so the conversion to L/min remains Q multiplied by 60,000.

Assumptions and limitations

The area model assumes the entered area and average velocity describe the same section and does not calculate pressure loss, viscosity, turbulence, compressibility, or a velocity profile. Volume mode requires positive time and nonnegative volume; area mode itself has no physical-range validation.

Practical use and checks

The Fluid Flow Calculator estimates volumetric flow either from cross-sectional area and average velocity or from a measured volume and elapsed time. In area mode, enter A = 0.01 m^2 and v = 2 m/s as a check; flow should be 0.02 m^3/s, or 1,200 liters per minute. In volume mode, enter 0.12 m^3 over 30 seconds; the average should be 0.004 m^3/s, or 240 L/min. Choose the mode that matches the measurement rather than mixing an area from one pipe with a velocity from another. Use cross-sectional area, not diameter, in Q = A*v. For a circular pipe, calculate area as pi*r^2 first, and keep cubic meters, seconds, and liters consistent. The result is a volumetric rate, not mass flow; density is needed for kg/s. The calculator assumes the entered velocity is an appropriate cross-sectional average and does not model pressure loss, viscosity, turbulence, compressibility, a changing level, leaks, or a velocity profile. Area and velocity with inconsistent units can produce a precise but wrong number, while a zero time makes volume-over-time undefined. For pump or pipe selection, pair the flow estimate with head, friction, temperature, pipe geometry, and the required operating range.

Sources and references

COMMON QUESTIONS

Frequently asked questions

Which flow-rate mode should I use?

Use area and velocity when a cross-section and average speed are known. Use volume and time when you have measured how much fluid passed during a time interval.

Why is the liters-per-minute result multiplied by 60,000?

One cubic meter contains 1,000 liters and one minute contains 60 seconds, so m^3/s is converted to L/min with 1,000 x 60 = 60,000.

FROM THE NUMORIX GUIDES

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