Analytical Models for the Permeabilities of Fibrous Ecomaterials

Living reference work entry

Abstract

The fibrous ecomaterials have a variety of applications in various areas including tissue engineering, fuel cells, fiber-reinforced composite, thermal insulation, filtration, textile fabric, apparel products, medical science, and paper products in recent years. Generally, fibrous ecomaterials can serve as a porous media, through which photons, electrons, particles, fluids, and heat pass through in most of the above applications. So, it can be of importance to study the permeabilities of fibrous ecomaterials. Based on the well-known fractal feature of micropores in fibrous ecomaterials, this chapter presents an investigation for the permeabilities of fibrous ecomaterials. For this purpose, the first section was aimed at studying the relative permeability with the effect of capillary pressure by means of Fractal-Monte Carlo technique in the fibrous ecomaterials. In the second part, the permeability of the fibrous gas diffusion layer is investigated in proton exchange membrane fuel cells based on fractal geometry.

Keywords

Fibrous ecomaterials Fractal Permeability Relative permeability Porosity 

Nomenclature

Df

Area fractal dimension of micropores

df

Average fiber diameter

F

Form factor

DT

Tortuosity fractal dimension

K

Intrinsic permeability

krg

Relative permeability for the wetting phase in fibrous ecomaterials

krw

Relative permeability for non-wetting phase in fibrous ecomaterials

p

Pressure

Δp

Pressure difference

\( \overline{P_{c,w}} \)

The capillary pressure of fibrous ecomaterials for wetting phase

Pm

Mechanical pressure or injection pressure

q(λ)

The flow rate through a single tortuous capillary

Q(λ)

The total fluids mass transfer rate

R

Probability

Sw

Saturation of the wetting phase

T

Surface tension for wetting phase

Greek Letters

θ

Contact angle between the liquid and the solid

ϕ

Porosity

λ

Pore/capillary diameter

df

Fiber diameter

λmax

Maximum diameter of micropores

λmin

Minimum diameter of micropores

μ

Viscosity of the fluid

Subindexes

max

Maximum

min

Minimum

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 51576114), the Science Fund for Distinguished Young Scholars of Hubei Province of China (Grant No. 2018CFA066), the Natural Science Foundation of Fujian Province of China (Grant No. 2016J01254), and the Program for Young Top-notch Innovative Talents of Fujian Province of China.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.School of Mechanical and Electrical EngineeringSanming UniversitySanmingPeople’s Republic of China
  2. 2.School of Mechanical and Electrical EngineeringWuhan Institute of TechnologyWuhanPeople’s Republic of China

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