Mass transfer in the filtration membrane covering from macroscale, multiscale to nanoscale

Wei Lin , Jian Li , Yongbin Zhang

Abstract

The analytical results are presented for the mass transfer in a cylindrical pore covering from the macroscale, multiscale to nanoscale owing to the variation of the inner diameter of the pore. When the thickness hbf of the physically adsorbed layer potentially fully formed on the pore wall is comparable to but less than the inner radius R0. of the pore, the multiscale flow occurs consisting of both the nanoscale non-continuum adsorbed layer flow and the macroscopic continuum liquid flow; When R0 ≤ hbf, the flow in the whole pore is essentially non-continuum; When R0 is far greater than hbf, the flow in the whole pore can be considered as macroscopic and continuum and the adsorbed layer effect is negligible.

Key Words

cylindrical pore; mass transfer; multiscale; non-continuum

Address

Wei Lin — School of Mechanics Technology, Wuxi Institute of Technology, Wuxi, Jiangsu Province, China/ College of Mechanical Engineering, Changzhou University, Changzhou, Jiangsu Province, China
Jian Li and Yongbin Zhang — College of Mechanical Engineering, Changzhou University, Changzhou, Jiangsu Province, China

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