Mass Flow Rate Calculator — Formula
## 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).
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).
Exemplo Resolvido
Water (1000 kg/m³) flowing at 2 m/s through a 100 mm pipe.
- D = 100 mm = 0.1 m
- A = pi × 0.1² / 4 = 0.007854 m²
- m_dot = 1000 × 2 × 0.007854 = 15.708 kg/s
- Volume flow = 2 × 0.007854 × 1000 = 15.708 L/s