Modeling of Diffusive Transport of Polymers Moments Using Limiting Cases of the Maxwell–Stefan Model

Welzel, Stefan; Säckel, Winfried; Nieken, Ulrich

doi:10.1002/mren.202200045

Cited by 1 publication

(7 citation statements)

References 8 publications

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“…To describe the interactions between polymer and solvent, we start from the Stefan‐Maxwell diffusion approach 16

true d_{i} = \frac{x_{i}}{RT} \nabla μ_{i} = - \sum_{j = 1}^{n} \frac{x_{i} x_{j} (v_{i} - v_{j})}{𝔇_{ij}} = - \sum_{j = 1}^{n} \frac{x_{i} J_{j}^{N} - x_{j} J_{i}^{N}}{c 𝔇_{ij}}

…”

Section: Cfd Modelmentioning

confidence: 99%

“…with the number of chains s, the diffusion coefficient between polymer and low molecular species

𝔇_{P}

, the concentration of low molecular species c j , n low the total number of low molecular species, the k th chain length moment

ξ^{k}

and the flux of low molecular species

J_{j}^{N}

16.…”

Section: Cfd Modelmentioning

confidence: 99%

“…In special cases like regions of low convective transport (i.e., behind mixing elements) or polymer fouling close to walls of micro reactors, the assumptions of the “No Polymer Friction” model introduces large errors 16. This is especially true at high polymer content.…”

Section: Cfd Modelmentioning

confidence: 99%

“…Herewith a closure for polymer moments is possible. Finally, we obtain an expression for the transport of higher moments for this limiting case (denoted as “Infinite Polymer Friction model”) which depends on the transport of the 0th moment 16

true J_{ξ^{k}}^{N} = \frac{ξ^{k}}{ξ^{0}} J_{ξ^{0}}^{N}

…”

Section: Cfd Modelmentioning

confidence: 99%

“…To describe the interactions between polymer and solvent, we start from the Stefan-Maxwell diffusion approach [16]…”

Section: Mass Transfer Modelmentioning

confidence: 99%

See 4 more Smart Citations

Wall Layer Formation in Continuously Operated Tubular Reactors for Free‐Radical Polymerizations

Welzel

Zander

Nieken

2023

Chemie Ingenieur Technik

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Polymer fouling is a major problem for the operation of continuous reactors. Therefore, it is important to understand and quantitatively describe the mechanisms leading to formation of fouling deposits. In this work, a CFD model for the radical polymerization of N‐vinylpyrrolidone is presented, where the reaction kinetics, a viscosity model, and a transport model for polymer moments are determined from independent experiments. The model is compared to experimental obtained residence time distributions in capillary reactors over a wide range of concentrations. Model predictions are in good agreement with experimental findings.

show abstract

“…To describe the interactions between polymer and solvent, we start from the Stefan‐Maxwell diffusion approach 16

true d_{i} = \frac{x_{i}}{RT} \nabla μ_{i} = - \sum_{j = 1}^{n} \frac{x_{i} x_{j} (v_{i} - v_{j})}{𝔇_{ij}} = - \sum_{j = 1}^{n} \frac{x_{i} J_{j}^{N} - x_{j} J_{i}^{N}}{c 𝔇_{ij}}

…”

Section: Cfd Modelmentioning

confidence: 99%

“…with the number of chains s, the diffusion coefficient between polymer and low molecular species

𝔇_{P}

, the concentration of low molecular species c j , n low the total number of low molecular species, the k th chain length moment

ξ^{k}

and the flux of low molecular species

J_{j}^{N}

16.…”

Section: Cfd Modelmentioning

confidence: 99%

Section: Cfd Modelmentioning

confidence: 99%

true J_{ξ^{k}}^{N} = \frac{ξ^{k}}{ξ^{0}} J_{ξ^{0}}^{N}

…”

Section: Cfd Modelmentioning

confidence: 99%

“…To describe the interactions between polymer and solvent, we start from the Stefan-Maxwell diffusion approach [16]…”

Section: Mass Transfer Modelmentioning

confidence: 99%

See 3 more Smart Citations

Wall Layer Formation in Continuously Operated Tubular Reactors for Free‐Radical Polymerizations

Welzel

Zander

Nieken

2023

Chemie Ingenieur Technik

Self Cite

View full text Add to dashboard Cite

show abstract

Modeling of Diffusive Transport of Polymers Moments Using Limiting Cases of the Maxwell–Stefan Model

Cited by 1 publication

References 8 publications

Wall Layer Formation in Continuously Operated Tubular Reactors for Free‐Radical Polymerizations

Wall Layer Formation in Continuously Operated Tubular Reactors for Free‐Radical Polymerizations

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