Science Calculators

Continuity Equation Calculator

Calculate continuity equation with clear inputs, formulas, and supporting results.

Free browser-based tool • No signup required
Continuity Equation

Continuity Equation Calculator

Downstream velocity
Volumetric flow rate
Volumetric flow rate
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • Upstream area (m²) — example: 0.02
  • Upstream velocity (m/s) — example: 3
  • Downstream area (m²) — example: 0.008

Results

  • Downstream velocity (m/s)
  • Volumetric flow rate (m³/s)
  • Volumetric flow rate (L/s)

Formula used

For steady incompressible flow, A₁v₁ = A₂v₂.

How to Use the Continuity Equation Calculator

Enter the requested values, check the units and assumptions, then select Calculate Continuity Equation. The built-in defaults provide a complete working example.

Formula

For steady incompressible flow, A₁v₁ = A₂v₂.

Understanding the Results

The primary answer appears first. Supporting outputs show related quantities, conversions, dates, costs, ratios, or intermediate values. Calculations keep additional precision before display rounding.

Accuracy Tips

  • Use measured values and consistent units.
  • Review assumptions, rates, timing, and efficiency inputs.
  • Recalculate after changing any condition.

Important Note

This tool provides an informational estimate. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology