Fractal Characteristics of Microporous Adsorbents

Кутаров, В. В.; Schieferstein, Eva; Zub, Yuriy L.; Robens, E.

doi:10.4236/msa.2017.88042

Cited by 1 publication

(3 citation statements)

References 15 publications

(23 reference statements)

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“…Here, λ and

are the surface tension and molar volume of liquid adsorbate,

is the van der Waals’ diameter of the adsorbate molecule, and t is the thickness of the condensate film on the pore walls. The governing parameter in Equation (16) is the relationship between capillary and adsorption forces [ 17 , 18 ].…”

Section: Methodsmentioning

confidence: 99%

“…In particular, the expression analogous to Kelvin’s equation was proposed where the governing parameter

is the molecular associate energy in the potential field of pore walls. For slit-like pores, the equation derived in [ 17 ] becomes:

where h is the pore width,

and χ (

) determine the geometric characteristics of the pore space, and

is the potential energy of interaction of molecules in a potential field of walls. In [ 17 ], the parameter

is rigorously and analytically determined, but in practical applications its calculation is too complicated.…”

Section: Methodsmentioning

confidence: 99%

“…In general, it is not possible to consider the influence of the parameter χ in Equation (17). Consider two limiting cases of the geometric characteristics of the pore space [ 17 ]:

…”

Section: Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Adsorption Hysteresis in Open Slit-like Micropores

Dragan¹,

Кутаров²,

Schieferstein

et al. 2021

Molecules

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Adsorption hysteresis in the low-pressure range is only rarely described in the literature. To optimise, for example, heat storage technologies, a deeper understanding of the low-pressure hysteresis (LPH) process is necessary. Here, two thermodynamically based approaches are further developed for analysing the LPH within the framework of thermodynamically irreversible processes and fractal geometry. With both methods developed, it is possible to obtain the description of the adsorption and desorption branches with high accuracy. Within the framework of the two thermodynamic models of the hysteresis loop, generalised equations are obtained with the control parameter in the form of the degree of irreversibility. This is done by taking the adsorption of water on alumina as an example. It is shown that the fractal dimension of the adsorption process is larger than the fractal dimension of the desorption branch, meaning that the phase state of the adsorbate is more symmetric during the adsorption step than in the desorption process.

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“…Here, λ and

are the surface tension and molar volume of liquid adsorbate,

Section: Methodsmentioning

confidence: 99%

“…In particular, the expression analogous to Kelvin’s equation was proposed where the governing parameter

is the molecular associate energy in the potential field of pore walls. For slit-like pores, the equation derived in [ 17 ] becomes:

where h is the pore width,

and χ (

) determine the geometric characteristics of the pore space, and

is the potential energy of interaction of molecules in a potential field of walls. In [ 17 ], the parameter

is rigorously and analytically determined, but in practical applications its calculation is too complicated.…”