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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email:

Experimental Verification of the Time-Fractional Diffusion of Methanol in Silica

Journal of Applied Nonlinear Dynamics 6(2) (2017) 135--151 | DOI:10.5890/JAND.2017.06.002

Alexey A. Zhokh; Peter E. Strizhak

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

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Experimental study of the mass transfer kinetics for methanol in mesoporous silica is presented. Analysis of the experimental data shows that there is no good correspondence between them and corresponding solutions found according to the second Fick’s law for various pores geometries of the silica. Contrary, we show a good fit of the experimental data by a solution of the time-fractional diffusion equation with proper boundary conditions that correspond to experiment. Our results support that mass transfer in silica, which is a geometrically restricted media, may exhibit anomalous features, due to the geometrical constraints associated with randomly porous structure of a solid.


Authors thank to A.I. Tripolskyi for his help in establishing experimental setup and fruitful discussions.


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