Continuity Equation Calculators

➔ Calculate Flow Rate
➔ Calculate Flow Area
➔ Calculate Flow Velocity

Calculate Flow Rate

Flow Rate = Flow Area × Flow Velocity

Flow Area:
Flow Velocity:
Flow Rate:
Meter3/Second

Calculate Flow Area

Flow Rate:
Flow Velocity:
Flow Area:
Meter2

Calculate Flow Velocity

Flow Rate:
Flow Area:
Flow Velocity:
Meter/Second

The Continuity Equation is used in fluid dynamics to relate the flow rate, cross-sectional area, and velocity of a fluid in a pipe or conduit. The equation is:

Q=A⋅v

Where:

  • is the flow rate (volume per time, e.g., m³/s),
  • is the cross-sectional area (m²),
  • is the flow velocity (m/s).

You can use the continuity equation to calculate any of the three variables as long as the other two are known. Here's how:

1. Calculate Flow Rate (Q)

If you know the cross-sectional area AA and the flow velocity vv, you can calculate the flow rate:

Q=A⋅v

Example: If the area is 2 m² and the velocity is 3 m/s, the flow rate is:

Q=2 m2⋅3 m/s=6 m3/s

2. Calculate Flow Area (A)

If you know the flow rate and the flow velocity vv, you can calculate the cross-sectional area:

Example: If the flow rate is 6 m³/s and the velocity is 3 m/s, the flow area is:

3. Calculate Flow Velocity (v)

If you know the flow rate and the cross-sectional area , you can calculate the flow velocity:

Example: If the flow rate is 6 m³/s and the area is 2 m², the velocity is: