The effects of fractality on hydrogen permeability across meso-porous membrane

Helwani, Zuchra; Wiheeb, Ahmed Daham; Shamsudin, Ili Khairunnisa; Kim, J.; Othman, Mohd Roslee

doi:10.1007/s00231-014-1445-7

Cited by 8 publications

(2 citation statements)

References 27 publications

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“…An equation for the kinetics of irreversible adsorption on fractals was proposed. Studies of gas diffusion into pore networks have confirmed the existence of a fractal structure in the system [11]. Based on the analysis of the two fractal identities of the surface and the tortuosity of the pores, a fractal model of permeability was proposed and calculated in comparison to the modern Kozeny-Karman equation.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Structure and Diffusion of Porous Layers

Satayev,

Azimov,

Iztleuov

et al. 2024

Water

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The aim of this work is to develop an adsorber with a fixed bed of adsorbent and a mathematical model of the adsorption bed. On the basis of the theory of fractal clusters, an equation for calculating the layer porosity that takes into account the average cluster radius, the fractal dimension of the cluster structure and the anisotropy index of the adsorbent layer is proposed. The adsorption mechanism in the layer was established, and the proportionality coefficients were estimated based on the tetrahedral packing of grains in the layer. Based on the analysis of the movement of the carrier through the adsorption layer and its deformation, an equation that describes the change in the porosity of the granular layer when the water flow moves through it, depending on the proportionality coefficients, is proposed. An equation that made it possible to calculate the change in the porosity of the layer in comparison with the porosity of the stationary stacking was obtained. An effective design for the adsorber that made it possible to increase the efficiency of using the structure of porous adsorption layers was developed. Equations of the heat and mass transfer taking into account the granule shape coefficient, effective diffusion coefficient and mass transfer coefficient were derived. These equations establish the relationship between the average distance between active centers on the adsorption surface and the degree of filling of the adsorption surface with the adsorbed component.

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Section: Introductionmentioning

confidence: 99%

Modeling the Structure and Diffusion of Porous Layers

Satayev,

Azimov,

Iztleuov

et al. 2024

Water

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“…Conduction in H3PO4 appears to be predominately protonic (  H t ≈ 0.975) and structure diffusion is proposed as the operating fast conduction and diffusion mechanism. The fractal permeability model was used to describe hydrogen diffusion into membrane pores [10]. It was shown [11] that self-diffusion coefficient of hydrogen in standing water at 30 C, determined by the constant bubble size method is 3.9•10 -9 m 2 /s.…”

Section: Introductionmentioning

confidence: 99%

NMR study of the electrolyte diffusion in bituminous coal

Altshuler,

Malyshenko,

Lyrshchikov

et al. 2023

E3S Web Conf.

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The transfer of the electrolyte molecules (H2SO4 or H3PO4) into bituminous coal was studied by the method of solid-state NMR spectroscopy. The kinetic dependences of the electrolytes transfer into a coal membrane from an aqueous solution have been obtained. It was shown that the transfer of H2SO4 molecules into a coal thin layer is determined by the solid phase diffusion. The process was investigated in the framework of a mathematical model of diffusion in layered media. When the flow of electrolyte is directed perpendicular to the surface of the layer the diffusion coefficient of sulfuric acid in the coal equals 1∙10-13 m2/s. The diffusion coefficient of H2SO4 in the bituminous coal is four order of less than the self-diffusion coefficient of proton in aqueous solution. The diffusion process of the electrolyte delivery may be the rate-limiting stage preceding chemical transformations with the H2SO4 participation in bituminous coal.

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