Kozeny-Carman Permeability

Estimate permeability and Darcy pressure drop from particle diameter, porosity, and sphericity with a pore tile sketch.

visual calculatorPorous Media & Rheology

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

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Kozeny-Carmanpermeabilityporosityporous media

formula

KaTeX rendered

\begin{aligned}\text{K = d\_p\^{}2 eps\^{}3 phi\_s\^{}2 / [180 (1-eps)\^{}2]}\end{aligned}

ASCII source

K = d_p^2 eps^3 phi_s^2 / [180 (1-eps)^2]

particle d_p (m)porosity epssphericity phiDarcy U (m/s)mu (Pa s)length (m)

cyan cells approximate open pore volume

permeability K (m2)

5.730e-10

Darcy dp (Pa)

1745.289

porosity used

0.380

sphericity used

0.850

Kozeny-Carman estimates permeability from particle geometry and porosity; calibrate against pressure-drop data when possible.

Kozeny-Carman permeability porosity porous media