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Application of the Time-Fractional Diffusion Equation to Methyl Alcohol Mass Transfer in Silica

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

Non-usual behavior of methyl alcohol mass transfer in mesoporous silica is experimentally and theoretically investigated. Analysis of the experimental data in terms of the second Fick’s law and accounting of various pore geometries demonstrates no correspondence between the experimental data and theoretical solutions. We show that contrary to standard diffusion approach the experimental data are in an excellent coincidence with the solution of the time-fractional diffusion equation, obtained for boundary conditions that correspond to the experimental conditions. Obtained results reveal that methyl alcohol in mesoporous silica may exhibit anomalous features because of geometrical constraints of silica pores.

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Authors and Affiliations

  1. L.V. Pisarzhevsky Institute of Physical Chemistry, National Academy of Sciences of Ukraine, Prospect Nauki 31, Kiev, 03028, Ukraine

    Alexey A. Zhokh, Andrey A. Trypolskyi & Peter E. Strizhak

Authors
  1. Alexey A. Zhokh
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  2. Andrey A. Trypolskyi
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  3. Peter E. Strizhak
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Corresponding author

Correspondence to Alexey A. Zhokh .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Zhokh, A.A., Trypolskyi, A.A., Strizhak, P.E. (2017). Application of the Time-Fractional Diffusion Equation to Methyl Alcohol Mass Transfer in Silica. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_44

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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