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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 3, Pages 16–27 (Mi sjim789)  
Analysis of a model of a co-current packed-bed column with periodic inlet conditions

T. A. Akramov

Ufa Division of the Russian State University of Trade and Economics, Mendeleev Str. 177/3, 450080 Ufa
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Abstract: We consider a model of a co-current packed bed column with the simplest kinetics of the rate of liquid holdup formation. The dependence of the velocities of the liquid and gas flows in neighborhoods of the stationary values of these velocities is studied. The principal terms in time of the asymptotics for the luquid holdup and the flow rates are found. We detect the growth of the amplitudes of the sinusoidal oscillations of the liquid holdup and the liquid and gas velocities with respect to the length of the column. The constructed model is used for co-current two-phase columns.
Keywords: mathematical model, cocurrent packed-bed column, gas and liquid velocities, asymptotics of solutions, stability, oscillation amplitude, Riemann function.
Received: 01.03.2013
Revised: 10.07.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 449–459
DOI: https://doi.org/10.1134/S1990478913040017
Bibliographic databases:
Document Type: Article
UDC: 917.95:519.57
Language: Russian
Citation: T. A. Akramov, “Analysis of a model of a co-current packed-bed column with periodic inlet conditions”, Sib. Zh. Ind. Mat., 16:3 (2013), 16–27; J. Appl. Industr. Math., 7:4 (2013), 449–459
Citation in format AMSBIB
\Bibitem{Akr13}
\by T.~A.~Akramov
\paper Analysis of a model of a co-current packed-bed column with periodic inlet conditions
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 3
\pages 16--27
\mathnet{http://mi.mathnet.ru/sjim789}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234770}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 449--459
\crossref{https://doi.org/10.1134/S1990478913040017}
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