Abstract:We present a new unified model for the permeability, electrical conductivity, and streaming potential coupling coefficient in variably saturated fractured media. For those, we conceptualize the fractured medium as a partially saturated bundle of parallel capillary slits with varying sizes. We assume that the fracture size distribution of the corresponding medium follows a fractal scaling law, which allows us establish a pressure head-saturation relationship based on the Laplace equation. We first describe the … Show more
“…Originally developed and verified against macroporous materials, i.e., soil or wood, the volume averaged formulation has also been successfully applied for the prediction of postdrying catalyst profiles in micro- and mesoporous materials. ,, In all those cases, the transport is highly dependent on averaged properties of the porous media, e.g., saturation, permeability, and capillary pressure to name a few. Often, those are determined experimentally for a support, yet research into analytical derivations of those parameters from routinely measured bulk properties is quite active. − Those models often rely on dedicated configurations of the pore size distributions and therefore allow the derivation of the relevant parameters from the porosity and the knowledge of minimum and maximum pore size. One interesting exception to this approach is given by the derivation of the averaged properties from an available pore size distribution, which offers a variety of potential insights in the impact of local pore morphology onto the drying process …”
Section: Introductionmentioning
confidence: 99%
“…Often, those are determined experimentally for a support, yet research into analytical derivations of those parameters from routinely measured bulk properties is quite active. 18 − 22 Those models often rely on dedicated configurations of the pore size distributions and therefore allow the derivation of the relevant parameters from the porosity and the knowledge of minimum and maximum pore size. One interesting exception to this approach is given by the derivation of the averaged properties from an available pore size distribution, which offers a variety of potential insights in the impact of local pore morphology onto the drying process.…”
The distribution of catalytically active species in heterogeneous porous catalysts strongly influences their performance and durability in industrial reactors. A drying model for investigating this redistribution was developed and implemented using the finite volume method. This model embeds an analytical approach regarding the permeability and capillary pressure from arbitrary pore size distributions. Subsequently, a set of varying pore size distributions are investigated, and their impact on the species redistribution during drying is quantified. It was found that small amounts of large pores speed up the drying process and reduce internal pressure build up significantly while having a negligible impact on the final distribution of the catalytically active species. By further increasing the amount of large pores, the accumulation of species at the drying surface is facilitated.
“…Originally developed and verified against macroporous materials, i.e., soil or wood, the volume averaged formulation has also been successfully applied for the prediction of postdrying catalyst profiles in micro- and mesoporous materials. ,, In all those cases, the transport is highly dependent on averaged properties of the porous media, e.g., saturation, permeability, and capillary pressure to name a few. Often, those are determined experimentally for a support, yet research into analytical derivations of those parameters from routinely measured bulk properties is quite active. − Those models often rely on dedicated configurations of the pore size distributions and therefore allow the derivation of the relevant parameters from the porosity and the knowledge of minimum and maximum pore size. One interesting exception to this approach is given by the derivation of the averaged properties from an available pore size distribution, which offers a variety of potential insights in the impact of local pore morphology onto the drying process …”
Section: Introductionmentioning
confidence: 99%
“…Often, those are determined experimentally for a support, yet research into analytical derivations of those parameters from routinely measured bulk properties is quite active. 18 − 22 Those models often rely on dedicated configurations of the pore size distributions and therefore allow the derivation of the relevant parameters from the porosity and the knowledge of minimum and maximum pore size. One interesting exception to this approach is given by the derivation of the averaged properties from an available pore size distribution, which offers a variety of potential insights in the impact of local pore morphology onto the drying process.…”
The distribution of catalytically active species in heterogeneous porous catalysts strongly influences their performance and durability in industrial reactors. A drying model for investigating this redistribution was developed and implemented using the finite volume method. This model embeds an analytical approach regarding the permeability and capillary pressure from arbitrary pore size distributions. Subsequently, a set of varying pore size distributions are investigated, and their impact on the species redistribution during drying is quantified. It was found that small amounts of large pores speed up the drying process and reduce internal pressure build up significantly while having a negligible impact on the final distribution of the catalytically active species. By further increasing the amount of large pores, the accumulation of species at the drying surface is facilitated.
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