2019
DOI: 10.1016/j.ces.2019.03.085
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General Dusty Gas Model for porous media with a specified pore size distribution

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Cited by 19 publications
(7 citation statements)
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“…High membrane porosity also reduces the resistance to the diffusional transport of volatile molecules through the pores, promoting higher transmembrane fluxes. As established by the Dusty Gas Model, 317 both effective free molecular diffusion coefficient and effective Knudsen diffusion increase linearly with porosity ( ε ):where τ is the tortuosity, d p is the average pore diameter, R is the universal gas constant, T is the temperature, and M i is the molecular weight of the diffusing species. Additionally, porosity affects the energetics of PMD, when one considers that a low thermal conductivity ( k m ) of the membrane is required to prevent heat loss to the distillate side (eqn (4)).…”
Section: Challenges In Pmdmentioning
confidence: 99%
“…High membrane porosity also reduces the resistance to the diffusional transport of volatile molecules through the pores, promoting higher transmembrane fluxes. As established by the Dusty Gas Model, 317 both effective free molecular diffusion coefficient and effective Knudsen diffusion increase linearly with porosity ( ε ):where τ is the tortuosity, d p is the average pore diameter, R is the universal gas constant, T is the temperature, and M i is the molecular weight of the diffusing species. Additionally, porosity affects the energetics of PMD, when one considers that a low thermal conductivity ( k m ) of the membrane is required to prevent heat loss to the distillate side (eqn (4)).…”
Section: Challenges In Pmdmentioning
confidence: 99%
“…Both feed and permeate flows are kept under constant pressure (about 0.8 bar) inside the membrane module, so no transmembrane hydrostatic pressure is applied, and a Poiseuille-type mechanism of transport is negligible [22]. Considering these assumptions, the Dusty gas model is the most widely developed model to simulate mass transfer through the porous membrane [23]. Three main mass transfer mechanisms were studied in membrane cavities, including molecular diffusion, Knudsen, and Knudsenmolecular diffusion models.…”
Section: Mass Transfer Modelmentioning
confidence: 99%
“…Generally, the zeolite pore (< 1 nm) contributes to the Knudsen diffusion, while the nonzeolite pores (> 1 nm) caused by the defects result in the viscous flow. The low viscous flow coefficient (0.26) was derived after linear fitting (Figure 7) based on the dusty gas model [35,36,41,42], indicating negligible viscous flow for the period-TS-1 membranes. This suggests a low defect-free structure in the period-TS-1 membrane.…”
Section: Pore Distribution Of the Ts-1 Membranementioning
confidence: 99%