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Calculating Velocity Through a Pipe

Velocity Formula:

\[ v = \frac{Q}{A} \]

m³/s
m/s

1. What is Velocity Through a Pipe?

Definition: This calculator determines the velocity of fluid flowing through a pipe based on the flow rate and cross-sectional area.

Purpose: It helps engineers and technicians calculate fluid velocity for hydraulic system design, plumbing, and industrial applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \frac{Q}{A} \]

Where:

  • \( v \) — Velocity (meters per second, m/s)
  • \( Q \) — Flow rate (cubic meters per second, m³/s)
  • \( A \) — Cross-sectional area (square meters, m²)

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

3. Importance of Velocity Calculation

Details: Proper velocity calculation ensures efficient pipe sizing, prevents erosion from excessive velocity, and maintains adequate flow for system requirements.

4. Using the Calculator

Tips: Enter the flow rate in m³/s and the cross-sectional area in m². For circular pipes, area = π × (diameter/2)². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical velocity range for water in pipes?
A: For water, typical velocities are 0.5-2.5 m/s in plumbing systems and 1-3 m/s in industrial applications.

Q2: How do I calculate area for a circular pipe?
A: Use A = π × r² where r is the pipe radius, or A = π × (d/2)² where d is the pipe diameter.

Q3: What if my pipe isn't circular?
A: Calculate the cross-sectional area based on the pipe shape (rectangle, oval, etc.) or measure it directly.

Q4: Does this account for friction or viscosity?
A: No, this gives average velocity. For detailed flow analysis, consider Reynolds number and friction factors.

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

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