Darcy’s Law Calculator

Darcy’s Law Formula

The formula for calculating the flow rate \( q \) using Darcy’s Law is:
\[ q = -\left(\frac{k}{\mu}\right) \times \Delta P \]
Where:

• \( q \) is the instantaneous flow rate
• \( k \) is the permeability
• \( \mu \) is the dynamic viscosity
• \( \Delta P \) is the pressure drop

Understanding Darcy’s Law

Darcy’s Law relates the flow rate of a fluid through a porous medium to the pressure drop, permeability, and viscosity of the fluid. This principle is fundamental in hydrology, petroleum engineering, and soil science.

Applications and Assumptions

• Applications: Darcy’s Law is frequently used in groundwater flow analysis, petroleum reservoir engineering, and filtration systems.
• Validity: The law applies when fluid flow is laminar and the Reynolds number is low, typically below 4,000. It is not suitable for turbulent flows.

How to Use This Calculator

1. Enter the permeability, viscosity, and pressure drop.
2. Press "Calculate" to obtain the flow rate.
3. Use the reset button to clear the inputs.