TY - JOUR
T1 - Diffusion of gases in inhomogeneous polymeric membranes
AU - Higuchi, Akon
AU - Nakagawa, Tsutomu
PY - 1990/11
Y1 - 1990/11
N2 - Fick's first law is modified to be applicable for the transport of gases in inhomogeneous polymeric membranes having continuous, concentration‐dependent, gradients of solubility and diffusivity along the flux direction (x axis). The membranes are considered to be in the rubbery state, and all gases in the membranes are assumed to be mobile. The modified Fick's law is derived from the consideration of standard chemical potential difference between the membrane and gas phases, and of fugacity coefficients in the membrane. \documentclass{article}\pagestyle{empty}\begin{document} $J=-D\left\{dC/dx - C(d\ln {S/dx})\right\}/L$\end{document} where J is the flux, D is the diffusion coefficient, C is the concentration in the membrane; x is the dimensionless space coordinate (0 ≦ x ≦ 1); S is the solubility; and L is the membrane thickness. The above equation is applicable for the cases where D and S are dependent on concentration. It is also solved analytically or numerically by a simulation method for some model membranes. Flux difference due to the flow direction and concentration profiles in the model membranes are discussed.
AB - Fick's first law is modified to be applicable for the transport of gases in inhomogeneous polymeric membranes having continuous, concentration‐dependent, gradients of solubility and diffusivity along the flux direction (x axis). The membranes are considered to be in the rubbery state, and all gases in the membranes are assumed to be mobile. The modified Fick's law is derived from the consideration of standard chemical potential difference between the membrane and gas phases, and of fugacity coefficients in the membrane. \documentclass{article}\pagestyle{empty}\begin{document} $J=-D\left\{dC/dx - C(d\ln {S/dx})\right\}/L$\end{document} where J is the flux, D is the diffusion coefficient, C is the concentration in the membrane; x is the dimensionless space coordinate (0 ≦ x ≦ 1); S is the solubility; and L is the membrane thickness. The above equation is applicable for the cases where D and S are dependent on concentration. It is also solved analytically or numerically by a simulation method for some model membranes. Flux difference due to the flow direction and concentration profiles in the model membranes are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0025511055&partnerID=8YFLogxK
U2 - 10.1002/polb.1990.090281207
DO - 10.1002/polb.1990.090281207
M3 - 期刊論文
AN - SCOPUS:0025511055
SN - 0887-6266
VL - 28
SP - 2247
EP - 2258
JO - Journal of Polymer Science, Part B: Polymer Physics
JF - Journal of Polymer Science, Part B: Polymer Physics
IS - 12
ER -