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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2014, Volume 7, Issue 1, Pages 24–33 (Mi vyuru116)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling

Formation of Ring Structures in a Drying under the Mask Film of Colloidal Solution

K. S. Kolegovab

a Astrakhan State University, Astrakhan, Russian Federation
b Federal State-Financed Educational Institution of Higher Professional Education ``Volga State Academy of Water Transport'' Caspian Institute of Sea and River Transport, Astrakhan, Russian Federation

Abstract: The author offers a method of formation of concentric ring structures out of micro- and nanoparticles on impermeable surfaces as a result of evaporation of the film of colloidal solution under a special mold. The above mentioned method is studied theoretically. A mathematical model of initial stage of process is solved numerically. The model includes the continuity equation, the motion equation and the convection–diffusion equation for the case of a system with a variable mass. Results of calculations have shown that mass fraction of particles transferred by the radial flow increases considerably in the areas set by the mask. To confirm the feasibility of the method a full-scale experiment should be carried out.

Keywords: evaporative lithography; film of colloidal solution; concentric rings; micro- and nanoparticles.

DOI: https://doi.org/10.14529/mmp140103

Full text: PDF file (402 kB)
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UDC: 532.772
MSC: 76R99
Received: 03.08.2013

Citation: K. S. Kolegov, “Formation of Ring Structures in a Drying under the Mask Film of Colloidal Solution”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:1 (2014), 24–33

Citation in format AMSBIB
\Bibitem{Kol14}
\by K.~S.~Kolegov
\paper Formation of Ring Structures in a Drying under the Mask Film of Colloidal Solution
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2014
\vol 7
\issue 1
\pages 24--33
\mathnet{http://mi.mathnet.ru/vyuru116}
\crossref{https://doi.org/10.14529/mmp140103}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. K. S. Kolegov, A. I. Lobanov, “Chislennoe issledovanie massoperenosa v kapelno-plenochnykh sistemakh s ispolzovaniem regulyarizovannoi raznostnoi skhemy v isparitelnoi litografii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 22:2 (2018), 344–363  mathnet  crossref  zmath  elib
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