1. What is the Mass Flow Rate to Velocity Formula?

The formula \( v = \frac{\dot{m}}{\rho \times A} \) calculates the velocity of a fluid based on its mass flow rate, density, and cross-sectional area. It's fundamental in fluid dynamics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the velocity formula:

Where:

• \( v \) — Velocity (m/s)
• \( \dot{m} \) — Mass flow rate (kg/s)
• \( \rho \) — Density (kg/m³)
• \( A \) — Cross-sectional area (m²)

Explanation: The formula converts mass flow to volumetric flow (dividing by density) and then divides by area to get velocity.

3. Importance of Velocity Calculation

Details: Velocity calculations are essential for pipe sizing, flow measurement, aerodynamic studies, and various engineering applications involving fluid flow.

4. Using the Calculator

Tips: Enter mass flow rate in kg/s, density in kg/m³, and cross-sectional area in m². All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical units for this calculation?
A: Standard SI units are kg/s for mass flow, kg/m³ for density, m² for area, resulting in m/s for velocity.

Q2: Can I use different units?
A: Yes, but you must ensure unit consistency. For example, using lb/s, lb/ft³, and ft² would give velocity in ft/s.

Q3: Does this work for compressible fluids?
A: Only for incompressible fluids or compressible fluids at low Mach numbers where density changes are negligible.

Q4: What if I know volumetric flow rate instead?
A: Velocity is simply volumetric flow rate divided by cross-sectional area (v = Q/A).

Q5: How does pipe diameter affect velocity?
A: For a given flow rate, velocity increases as pipe diameter decreases (area decreases).