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A Smoking Gun Scenario Relative to Fluid Dynamics in Closed Conduits

Received: 9 November 2022     Accepted: 24 November 2022     Published: 30 November 2022
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Abstract

Recent scientific articles published by many of the most popular authors in HPLC, based both in Academia, as well as at industry leading companies, regarding the relatively new technology in chromatography known as UHPLC, have increasingly focused on a methodology of evaluating the performance of packed chromatographic columns, by suggesting that the value of the Kozeny constant is variable, rather than a constant. This practice is totally invalid and, in addition, is demonstrably false. In this paper, we will prove, conclusively, that this is the case. In so doing, we will use the experimental data provided by these very authors themselves, in combination with well – settled fluid dynamics theory dating back to 1901, to prove that their conclusions relative to their calculated values for the Kozeny constant, are entirely without merit and not supported by their own measurements. In addition, we will further demonstrate that, based upon a newly minted theory of fluid dynamics in closed conduits, published for the first time in 2019, representing the most recently published reference in fluid dynamics, the unique constant value for this Kozeny parameter, which has been previously shown to be validated over the entire fluid flow regime, will be identified and applied to the reported data, thus, correcting for the errors made by the paper authors and ending approximately 150 years of ambiguity in the science of packed conduits and, HPLC, in particular.

Published in American Journal of Physical Chemistry (Volume 11, Issue 4)
DOI 10.11648/j.ajpc.20221104.15
Page(s) 120-127
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Forchheimer Coefficients, Specific Permeability, UHPLC, UPLC, Packed Beds

References
[1] Jan H. van Lopik1 • Roy Snoeijers1 • Teun C. G. W. van Dooren1 • Amir Raoof1 • Ruud J. Schotting; Transp Porous Med (2017) 120: 37–66 DOI 10.1007/s11242-017-0903-3.
[2] Forchheimer, P.: Wasserbewegung durch boden. Zeit. Ver. Deutsch. Ing 45, 1781–1788 (1901).
[3] H. Darcy, Les Fontaines Publiques de la Ville de Dijon, Victor Dalmont, Paris, France, 1856.
[4] J. Kozeny, "Ueber kapillare Leitung des Wassers im Boden." Sitzungsber Akad. Wiss., Wien, 136 (2a): 271-306, 1927.
[5] P. C. Carman, Trans. Instn. Chem. Engrs. Vol. 15, (1937) 155-166.
[6] Ergun, S. and Orning, A. A., Fluid Flow through Randomly Packed Columns and Fluidized Beds, Ind. Eng. Chem. vol. 41, pp. 1179, 1949.
[7] Ergun, S., Fluid Flow Through Packed Columns, Chem. Eng. Progr. vol. 48, pp. 89-94, 1952.
[8] Quinn H. M., A Reconciliation of Packed Column Permeability Data: Deconvoluting the Ergun Papers Journal of Materials Volume 2014 (2014), Article ID 548482, 24 pages http://dx.doi.org/10.1155/2014/548482
[9] Quinn, H. M., Quinn’s Law of Fluid Dynamics; Pressure-driven Fluid Flow through Closed Conduits. Fluid Mechanics. Vol. 5, No. 2, 2019, pp. 39-71. doi: 10.11648/j.fm.20190502.12.
[10] Quinn, H. M., Quinn’s Law of Fluid Dynamics: Supplement #1 Nikuradze’s Inflection Profile Revisited. Fluid Mechanics. Vol. 6, No. 1, 2020, pp. 1-14. doi: 10.11648/j.fm.20200601.11.
[11] Quinn, H. M., Quinn’s Law of Fluid Dynamics: Supplement #2 Reinventing the Ergun Equation. Fluid Mechanics. Vol. 6, No. 1, 2020, pp. 15-29. doi: 10.11648/j.fm.20200601.12.
[12] Quinn, H. M., Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits, Fluid Mechanics. Volume 6, Issue 2, December 2020, pp. 30-50. doi: 10.11648/j.fm.20200602.11.
[13] F. Gritti, D. S. Bell, Georges Guiochon, Particle size distribution and column efficiency. An ongoing debate revived with 1.9 μm Titan-C18 particles. Journal of Chromatography A 1355 (2014) 179-192.
[14] D. Cabooter, J. Billen, H. Terryn, F. Lynen, P. Sandra, G. Desmet. Detailed Characterization of the flow resistance of commercial sub-2 mm reversed-phase columns. Journal of Chromatography A 1178 (2008) 108-117.
Cite This Article
  • APA Style

    Hubert Michael Quinn. (2022). A Smoking Gun Scenario Relative to Fluid Dynamics in Closed Conduits. American Journal of Physical Chemistry, 11(4), 120-127. https://doi.org/10.11648/j.ajpc.20221104.15

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    ACS Style

    Hubert Michael Quinn. A Smoking Gun Scenario Relative to Fluid Dynamics in Closed Conduits. Am. J. Phys. Chem. 2022, 11(4), 120-127. doi: 10.11648/j.ajpc.20221104.15

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    AMA Style

    Hubert Michael Quinn. A Smoking Gun Scenario Relative to Fluid Dynamics in Closed Conduits. Am J Phys Chem. 2022;11(4):120-127. doi: 10.11648/j.ajpc.20221104.15

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  • @article{10.11648/j.ajpc.20221104.15,
      author = {Hubert Michael Quinn},
      title = {A Smoking Gun Scenario Relative to Fluid Dynamics in Closed Conduits},
      journal = {American Journal of Physical Chemistry},
      volume = {11},
      number = {4},
      pages = {120-127},
      doi = {10.11648/j.ajpc.20221104.15},
      url = {https://doi.org/10.11648/j.ajpc.20221104.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpc.20221104.15},
      abstract = {Recent scientific articles published by many of the most popular authors in HPLC, based both in Academia, as well as at industry leading companies, regarding the relatively new technology in chromatography known as UHPLC, have increasingly focused on a methodology of evaluating the performance of packed chromatographic columns, by suggesting that the value of the Kozeny constant is variable, rather than a constant. This practice is totally invalid and, in addition, is demonstrably false. In this paper, we will prove, conclusively, that this is the case. In so doing, we will use the experimental data provided by these very authors themselves, in combination with well – settled fluid dynamics theory dating back to 1901, to prove that their conclusions relative to their calculated values for the Kozeny constant, are entirely without merit and not supported by their own measurements. In addition, we will further demonstrate that, based upon a newly minted theory of fluid dynamics in closed conduits, published for the first time in 2019, representing the most recently published reference in fluid dynamics, the unique constant value for this Kozeny parameter, which has been previously shown to be validated over the entire fluid flow regime, will be identified and applied to the reported data, thus, correcting for the errors made by the paper authors and ending approximately 150 years of ambiguity in the science of packed conduits and, HPLC, in particular.},
     year = {2022}
    }
    

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    T2  - American Journal of Physical Chemistry
    JF  - American Journal of Physical Chemistry
    JO  - American Journal of Physical Chemistry
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    AB  - Recent scientific articles published by many of the most popular authors in HPLC, based both in Academia, as well as at industry leading companies, regarding the relatively new technology in chromatography known as UHPLC, have increasingly focused on a methodology of evaluating the performance of packed chromatographic columns, by suggesting that the value of the Kozeny constant is variable, rather than a constant. This practice is totally invalid and, in addition, is demonstrably false. In this paper, we will prove, conclusively, that this is the case. In so doing, we will use the experimental data provided by these very authors themselves, in combination with well – settled fluid dynamics theory dating back to 1901, to prove that their conclusions relative to their calculated values for the Kozeny constant, are entirely without merit and not supported by their own measurements. In addition, we will further demonstrate that, based upon a newly minted theory of fluid dynamics in closed conduits, published for the first time in 2019, representing the most recently published reference in fluid dynamics, the unique constant value for this Kozeny parameter, which has been previously shown to be validated over the entire fluid flow regime, will be identified and applied to the reported data, thus, correcting for the errors made by the paper authors and ending approximately 150 years of ambiguity in the science of packed conduits and, HPLC, in particular.
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Author Information
  • Department of Research and Development, the Wrangler Group LLC, Brighton, USA

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