Free Mass Flow Rate Calculator

Calculate mass flow rate from fluid density, velocity, and pipe cross-sectional area.

kg/m³
m/s
mm

Mass Flow Rate

15.708 kg/s

Mass Flow Rate56,548.7 kg/h
Volumetric Flow Rate15.708 L/s

Mass Flow Rate vs Fluid Density (rho)

Mass Flow Rate

Mass flow rate is the mass of fluid passing through a cross-section per unit time. It is a fundamental quantity in fluid mechanics, thermodynamics, and process engineering.

Formula

m_dot = rho × V × A

where rho is the fluid density, V is the average velocity, and A is the cross-sectional area. For a circular pipe, A = pi × D² / 4. Mass flow is conserved through a system (continuity equation).

Example Calculation

Water (1000 kg/m³) flowing at 2 m/s through a 100 mm pipe.

  1. 01D = 100 mm = 0.1 m
  2. 02A = pi × 0.1² / 4 = 0.007854 m²
  3. 03m_dot = 1000 × 2 × 0.007854 = 15.708 kg/s
  4. 04Volume flow = 2 × 0.007854 × 1000 = 15.708 L/s

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