Spherical effect on mass transfer between fine solid particle and liquid accompanied by chemical reaction

Nagy, Endre; Blickle, T.; Ujhidy, A.

doi:10.1016/0009-2509(89)85247-9

Cited by 8 publications

(9 citation statements)

References 10 publications

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“…The mass transfer is therefore effectuated uniquely by diffusion. This boundary layer will increase with the consumption of the reactants near the catalyst surface to reach a constant value after few second corresponding to a Sherwood number equal to 2 [37,38]. For our particles, the boundary layer thickness is only 2 nm indicating that the mass transfer coefficient will be high.…”

Section: Catalytic Performance Of the Palladium Colloidal Systemmentioning

confidence: 87%

High catalytic efficiency of palladium nanoparticles immobilized in a polymer membrane containing poly(ionic liquid) in Suzuki–Miyaura cross-coupling reaction

Favier

Pradel

et al. 2015

Journal of Membrane Science

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International audienceThe elaboration of a polymeric catalytic membrane containing palladium nanoparticles is presented. The membrane was prepared using a photo-grafting process with imidazolium-based ionic liquid monomers as modifying agent and microPES® as support membrane. Ionic liquid serves as a stabilizer and immobilizer for the catalytic species, i.e. palladium nanoparticles. The Suzuki–Miyaura cross-coupling reaction was carried out on the catalytic membrane in flow-through configuration. Complete conversion was achieved in 10 s through one single filtration, without formation of byproducts. The apparent reaction rate constant was three orders of magnitude greater than in a batch reactor. No catalyst leaching was detected. This membrane offers the possibility of continuous production with no need for a separation step of the catalyst from the reaction medium

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Section: Catalytic Performance Of the Palladium Colloidal Systemmentioning

confidence: 87%

High catalytic efficiency of palladium nanoparticles immobilized in a polymer membrane containing poly(ionic liquid) in Suzuki–Miyaura cross-coupling reaction

Favier

Pradel

et al. 2015

Journal of Membrane Science

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“…Namely, its value is limited by the neighboring particles; thus, the value of β°p will be slightly higher than that which follows from the well-known equation of 2 ) β°pd p /D, where the value of δ p is supposed to be infinite. Thus, one can obtain 18 where From eqs 24 and 26, one can obtain, for the mass-transfer rate with the overall mass-transfer resistance,…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Mass Transfer through a Dense, Polymeric, Catalytic Membrane Layer with Dispersed Catalyst

Nagy¹

2007

Ind. Eng. Chem. Res.

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The mass-transfer rates, which enter the catalyst membrane layer, accompanied by first-order, irreversible reactions, were investigated. Depending on the catalyst particle size, heterogeneous and pseudo-homogeneous models were developed to describe the mass transport through the catalytic membrane layer. It was assumed that the chemical reaction occurs inside the catalyst particles. Using a simple physical model for the distribution of the catalyst particles in the membrane layer and for the mass transport into it, explicit mathematical equations were developed for the prediction of the mass-transfer rates, as a function of the physical and chemical parameters. Besides the reaction rate, the mass-transfer rate is strongly influenced by the membrane properties, such as the size of the catalyst particles, the catalyst phase holdup, the distance of the first catalyst particle from the membrane interface, in the case of the heterogeneous model, as well as the diffusion coefficients in the membrane phase and in the catalyst particles, the membrane thickness, etc. By decreasing the particle size and the distance of the first particle from the membrane interface, the mass-transfer rate can be significantly improved. On the other hand, the low diffusion coefficient in the catalytic particles, which is very often the case, can strongly lower the mass-transfer rate, as well as the effect of the chemical reaction on it. The pseudo-homogeneous model was recommended for fine (submicrometer-sized) catalyst particles, whereas the heterogeneous model is recommended for larger particles (approximately several micrometers in size). The simple, mathematical equations that were developed can be applied very easily for the prediction of the mass-transfer rate in the case of a catalytic membrane layer for both models that have been investigated.

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“…), which can be calculated using Eq.

\frac{k_{normald}^{normalb} \cdot d_{normalp}}{D} = S h

S h = 2 + \frac{d_{normalp}}{\sqrt{π D t}} \approx 2

where

d_{normalp}

is the diameter of PdNPs.…”

Section: Resultsmentioning

confidence: 99%

Catalytic membrane reactor for Suzuki‐Miyaura C−C cross‐coupling: Explanation for its high efficiency via modeling

Bacchin

Lahitte

et al. 2016

AIChE Journal

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao. A polymeric catalytic membrane was previously prepared that showed remarkable efficiency for Suzuki-Miyaura C-C cross-coupling in a flow-through configuration. A mathematic model was developed and fitted to the experimental data to understand the significant apparent reaction rate increase exhibited by the catalytic membrane reactor compared to the catalytic system under batch reaction conditions. It appears that the high palladium nanoparticles concentration inside the membrane is mainly responsible for the high apparent reaction rate achieved. In addition, the best performance of the catalytic membrane could be achieved only in the forced flow-through configuration, that, conditions permitting to the reactants be brought to the catalytic membrane by convection.

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Spherical effect on mass transfer between fine solid particle and liquid accompanied by chemical reaction

Cited by 8 publications

References 10 publications

High catalytic efficiency of palladium nanoparticles immobilized in a polymer membrane containing poly(ionic liquid) in Suzuki–Miyaura cross-coupling reaction

High catalytic efficiency of palladium nanoparticles immobilized in a polymer membrane containing poly(ionic liquid) in Suzuki–Miyaura cross-coupling reaction

Mass Transfer through a Dense, Polymeric, Catalytic Membrane Layer with Dispersed Catalyst

Catalytic membrane reactor for Suzuki‐Miyaura C−C cross‐coupling: Explanation for its high efficiency via modeling

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