Journals / Hacettepe Journal of Biology and Chemistry / 2026 / Volume: 45 Issue: 2

Modelling of Diffusion in Random Packings of Core-Shell Particles

Çekirdek-Kabuk Parçacıklarının Raslantısal Paketlemelerinde Difüzyonun Modellenmesi

Emre Hatipoğlu(Department of Chemical Engineering, Faculty of Engineering, Middle East Technical University, Ankara, Turkey.)
Harun Koku(Department of Chemical Engineering, Faculty of Engineering, Middle East Technical University, Ankara, Turkey.)
Pages
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Publication Date
2017-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The behavior of time-dependent diffusivity data obtained from the model was found to be consistent with prior literature data from nuclear magnetic resonance experiments where transient diffusivity of a self-diffusing substance was measured in porous media.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Core-Shell particles are commonly used materials in chromatography.
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Key Findings & Data:In this study, a mathematical model that mimics diffusion around Core-Shell particles was developed.
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Conclusion & Impact:The behavior of time-dependent diffusivity data obtained from the model was found to be consistent with prior literature data from nuclear magnetic resonance experiments where transient diffusivity of a self-diffusing substance was measured in porous media.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Core-Shell · Diffusion · Random-Walk

Abstract

Core-Shell particles are commonly used materials in chromatography. In this study, a mathematical model that mimics diffusion around Core-Shell particles was developed. A random-walk based algorithm was implemented to simulate diffusion and a Core-Shell particle geometry was computationally formed, based on simple geometric constructs and relations. Diffusion simulations were carried out on a randomly packed geometry formed from these particles. The behavior of time-dependent diffusivity data obtained from the model was found to be consistent with prior literature data from nuclear magnetic resonance experiments where transient diffusivity of a self-diffusing substance was measured in porous media.

Özet

Ç ekirdek-Kabuk tipi parçacıklar kromatografide sıklıkla kullanılan malzemelerdir. Bu çalışmada, ÇekirdekKabuk parçacıklarının etrafında gerçekleşen difüzyonu taklit etmeye yönelik bir matematik modeli geliştirilmiştir. Difüzyonun simulasyonu için rastgele-yürüyüş temelli bir algoritma oluşturulmuş ve basit geometrik yapılar ve bağıntılardan oluşan bir Çekirdek-Kabuk geometrisi hesaplanmıştır. Bu parçacıklardan oluşan rastgele-istiflenmiş bir yapı üzerinde difüzyon simülasyonları gerçekleştirilmiştir. Model sonuçlarından elde edilen zamana bağlı difüzyon katsayısının davranışı, nükleer manyetik rezonans deneyleri vasıtasıyla gözenekli ortamlarda bir maddenin zamana bağlı öz-difüzyon katsayısının ölçüldüğü daha önceki bir çalışmanın sonuçlarıyla uyumludur

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Cite This Article

Hatipoğlu, E., Koku, H. (2017). Modelling of Diffusion in Random Packings of Core-Shell Particles. Hacettepe Journal of Biology and Chemistry, Volume: 45 Issue: 2. https://ajindex.com/articles/1270750

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References (13)

  1. C.G. Horvath, B.A. Preiss, S.R. Lipsky, Fast liquid chromatography. Investigation of operating parameters and the separation of nucleotides on pellicular ion exchangers, Anal. Chem., 39 (1967) 1422- 1428.
  2. J.E. Macnair, K.C. Lewis, J.W. Jorgenson, Ultrahigh- Pressure Reversed-Phase Liquid Chromatography in Packed Capillary Columns, Anal. Chem., 69 (1997) 983-989.
  3. K.K. Unger, R. Skudas, M.M. Schulte, Particle packed columns and monolithic columns in high-performance liquid chromatography-comparison and critical appraisal, J. Chromatogr. A, 1184 (2008) 393-415.
  4. G. Guiochon, F. Gritti, Shell particles, trials, tribulations and triumphs, J. Chromatogr. A, 1218 (2011) 1915-1938.
  5. F. Sattin, Fick’s law and Fokker–Planck equation in inhomogeneous environments, Physics Letters A, 372 (2008) 3941-3945.
  6. H. Koku, R.S. Maier, M.R. Schure, A.M. Lenhoff, Modeling of dispersion in a polymeric chromatographic monolith, J. Chromatogr. A, 1237 (2012) 55-63.
  7. A. Daneyko, D. Hlushkou, V. Baranau, S. Khirevich, A. Seidel-Morgenstern, U. Tallarek, Computational investigation of longitudinal diffusion, eddy dispersion, and trans-particle mass transfer in bulk, random packings of core–shell particles with varied shell thickness and shell diffusion coefficient, J. Chromatogr. A, 1407 (2015) 139-156.
  8. E.I. Trilisky, H. Koku, K.J. Czymmek, A.M. Lenhoff, Relation of structure to performance characteristics of monolithic and perfusive stationary phases, J. Chromatogr. A, 1216 (2009) 6365-6376.
  9. S. Bruns, T. Hara, B.M. Smarsly, U. Tallarek, Morphological analysis of physically reconstructed capillary hybrid silica monoliths and correlation with separation efficiency, J. Chromatogr. A, 1218 (2011) 5187-5194.
  10. S. Bruns, U. Tallarek, Physical reconstruction of packed beds and their morphological analysis: Core– shell packings as an example, J. Chromatogr. A, 1218 (2011) 1849-1860.
  11. M. Skoge, A. Donev, F.H. Stillinger, S. Torquato, Packing hyperspheres in high-dimensional Euclidean spaces, Physical Review E, 74 (2006) 1-11.
  12. L. Latour, R. Kleinberg, P. Mitra, C. Sotak, Pore-size distributions and tortuosity in heterogeneous porous media, J. Magn. Reso., Ser. A, 112 (1995) 83-91.
  13. P.N. Sen, Time-dependent diffusion coefficient as a probe of geometry, Concep. Magn. Reso., 23 (2004) 1-21.