Darcy’s Law Calculator
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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
- Enter the permeability, viscosity, and pressure drop.
- Press "Calculate" to obtain the flow rate.
- Use the reset button to clear the inputs.