1. What is Velocity from Pressure and Flow?

Definition: This calculator determines the fluid velocity based on volumetric flow rate and cross-sectional area using the continuity equation.

Purpose: It helps engineers and fluid dynamics professionals calculate flow velocity in pipes, channels, and other conduits.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Velocity (meters/second)
• \( Q \) — Volumetric flow rate (cubic meters/second)
• \( A \) — Cross-sectional area (square meters)

Explanation: The flow rate is divided by the cross-sectional area to determine the average fluid velocity.

3. Importance of Velocity Calculation

Details: Knowing fluid velocity is crucial for designing piping systems, calculating pressure drops, and ensuring proper flow characteristics.

4. Using the Calculator

Tips: Enter the flow rate in m³/s and cross-sectional area in m². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How is this related to Bernoulli's equation?
A: This is the continuity equation, which is often used alongside Bernoulli's equation in fluid dynamics problems.

Q2: What's a typical flow velocity in pipes?
A: For water systems, typical velocities range from 0.5-3 m/s depending on application and pipe size.

Q3: Does this account for turbulent flow?
A: This gives average velocity. For detailed analysis of turbulent flow profiles, more complex calculations are needed.

Q4: How do I find the cross-sectional area?
A: For circular pipes, use \( A = \pi r^2 \) where r is the pipe radius.

Q5: Can I use different units?
A: Yes, but ensure consistent units (e.g., if Q is in L/s, A should be in dm²).