Comparison of computed permeability with data from literature
We calculate the velocity field of a flow in a
geometry model of fiber materials. We use the Lattice
Boltzmann method.
From the average velocity we calculate with the Darcy law
the permeability of the fiber material for various
volume fraction of the fibers.
The simulation results can be compared with experiments of
many fiber materials (glass wool, metal fibers ...).
Experiments are from: Jackson G., James, D: The Permeability
of Fibrous Pourous Materials, in Canad. Journ. Chem.Eng. 64,
364, 1986.
Nonlinear behavior of pressure-velocity dependence:
excellent agreement of computed and measured behavior
The plot shows pressure difference vs. mean flow velocity for
three samples of 75g (blue), 100g (red) and 122g (green) per mē.
Full curves are measured (6 data pairs per sample), dashed
lines show result of Stokes calculations with standard deviation
under variation of the simulated sample. The simulations agree
qualitatively with the measurements.
The full black curve shows result of Navier Stokes simulation for
100g per mē sample agrees extremely well with red curve, as it should.
Measurements were unknown when simulations were performed.
