Pipe Flow Calculator (Darcy-Weisbach)

This calculator helps you determine the pressure loss due to friction in a pipe using the Darcy-Weisbach equation. It's essential for engineers and students working with fluid mechanics.

Flow Calculator

Flow Rate (m³/s) *

Pipe Diameter (m) *

Pipe Length (m) *

Friction Factor *

Results

Pressure Loss (Pa) 0

Data Source and Methodology

All calculations are based on the Darcy-Weisbach equation from the authoritative source: Engineering Toolbox. All calculations adhere strictly to the formulas and data provided by this source.

The Formula Explained

\[ \Delta P = f \cdot \left(\frac{L}{D}\right) \cdot \frac{\rho \cdot v^2}{2} \]

Where:

\(\Delta P\) = Pressure loss (Pa)
\(f\) = Friction factor
\(L\) = Length of pipe (m)
\(D\) = Diameter of pipe (m)
\(\rho\) = Density of fluid (kg/m³)
\(v\) = Velocity of fluid (m/s)

Glossary of Variables

Flow Rate: The volume of fluid passing a point per second.
Pipe Diameter: The internal width of the pipe.
Pipe Length: The length of the pipe through which the fluid flows.
Friction Factor: A dimensionless number indicative of resistance to flow.

How It Works: A Step-By-Step Example

To calculate the pressure loss using the Darcy-Weisbach equation, input the flow rate, pipe diameter, pipe length, and friction factor into the calculator. The result will show the pressure loss in pascals, demonstrating how friction affects flow in pipes.

Frequently Asked Questions (FAQ)

What is the Darcy-Weisbach equation used for?

It is used to calculate pressure loss due to friction in a pipe.

How do I determine the friction factor?

The friction factor can be calculated using the Moody chart or Colebrook equation, depending on the flow regime.

Why is pipe diameter important?

Pipe diameter affects the velocity and friction of the fluid flow, thus impacting the pressure loss.

What units should I use?

Ensure all units are consistent, typically using meters, seconds, and pascals for this calculator.

Can this calculator be used for gases?

Yes, but consider the compressibility factor for gases when calculating pressure loss.

Tool developed by Ugo Candido. Content reviewed by a professional engineering team. Last reviewed for accuracy on: October 1, 2023.