1. What is Mass Flow Rate to Velocity Calculation?

This calculation determines the velocity of water flow based on its mass flow rate and the cross-sectional area of the pipe or channel. It's essential for fluid dynamics analysis in 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)
• \( A \) — Cross-sectional area (m²)
• 1000 — Density of water (kg/m³)

Explanation: The formula converts mass flow to volumetric flow (dividing by density) then calculates velocity by dividing by cross-sectional area.

3. Importance of Velocity Calculation

Details: Flow velocity is crucial for determining pipe sizing, pressure drops, pump requirements, and ensuring efficient fluid transport in systems.

4. Using the Calculator

Tips: Enter mass flow rate in kg/s and cross-sectional area in m². Both values must be positive numbers for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is water density 1000 kg/m³ in the formula?
A: The calculation assumes standard conditions where water density is approximately 1000 kg/m³ at 4°C.

Q2: Can this be used for other liquids?
A: Yes, but replace the 1000 with the actual density of your liquid in kg/m³.

Q3: What are typical velocity ranges in pipes?
A: For water, 0.5-3 m/s is common in plumbing, with higher velocities potentially causing erosion.

Q4: How does pipe diameter affect velocity?
A: For constant flow rate, velocity increases as pipe diameter decreases (inverse square relationship).

Q5: What if my flow is turbulent?
A: This calculator gives average velocity. Turbulent flow has velocity variations across the pipe cross-section.