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Darcy’s Law Flow Rate Calculator — result sheet
Estimate porous-medium flow rate from permeability, area, pressure difference, viscosity, and flow length.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Flow rate=permeability×area×pressure difference/(viscosity×flow length).
Darcy’s law relates the pressure-driven volumetric flow through a porous medium to permeability and fluid viscosity.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Permeability — m²; minimum 1.0E-18; maximum 1000000
- Flow area — m²; minimum 1.0E-6; maximum 1000000000000
- Pressure difference — Pa; minimum -1.0E+15; maximum 1.0E+15
- Dynamic viscosity — Pa·s; minimum 1.0E-12; maximum 1000000000000
- Flow length — m; minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Permeability | 1.0E-12 |
| Flow area | 0.01 |
| Pressure difference | 100000 |
| Dynamic viscosity | 0.001 |
| Flow length | 2 |
Flow rate =5×10⁻⁷ m³/s.
Assumptions and limits
- The medium is treated as homogeneous and the flow is in the Darcy regime.
- Pressure difference is measured consistently across the entered length and the flow area is representative.
- Multiphase flow, fractures, compressibility, turbulence, capillary effects, and storage are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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