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. 2019 Jan 11;9(3):1632–1641. doi: 10.1039/c8ra09522a

Permeability models and their predicted values for filled polymer systems.

Model Relative permeability formula (P/P0) Considered parameters Predicted relative permeability
Bharadwaj60 graphic file with name c8ra09522a-t6.jpg S = 1 0.044
Perfect orientation
Gusev61 graphic file with name c8ra09522a-t7.jpg Perfect orientation 0.00296
No overlapping
Nielsen62 graphic file with name c8ra09522a-t8.jpg Perfect orientation 0.03448
Cussler63,64 graphic file with name c8ra09522a-t9.jpg μ = 0.5 randomly spaced flakes 0.0009
μ = 0 regularly spaced flakes and infinitely long in one dimension
Maxwell65 graphic file with name c8ra09522a-t10.jpg Dilute suspension 0.281