Skip to main content
SpringerLink
Log in

Mathematical Model of Mass Transfer in Randomly Packed Columns with Phase Maldistribution

  • Published:
Journal of Engineering Thermophysics Aims and scope

Abstract

The paper considers the processes of mass transfer between phases in countercurrents of gas and liquid in stationary packed beds of industrial randomly packed column apparatus. Such beds are widely used in heat and mass transfer, separation, and reaction processes in the oil and gas processing, petrochemistry, and other industries. An approximate approach of mathematical modeling of mass transfer in a randomly packed bed at turbulent gas motion and countercurrent laminar wave flow of liquid film is analyzed. The basic concepts of the multispeed continuum model, in which the transfer equations are written for each phase separately, are used. The phases fill one space, the volume of the continuous phase (gas) exceeding by far that of the liquid one. The interaction of the phases is reflected in averaged transfer terms, which take into account the interfacial transfer phenomena. Those are the mass transfer coefficients and the driving forces of the processes. The concentration profiles of the components are found from the solution to differential mass transfer equations written for a cylindrical channel with a volume source of mass. This approach can be used in the absence of experimental data on the structure of gas and liquid flows in a packed bed, for example, when designing new contact elements.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Pavlenko, A., Zhukov, V., Pecherkin, N., Chekhovich, V., Volodin, O., Shilkin, A., and Grossmann, C., Investigation of Flow Parameters and Efficiency of Mixture Separation on a Structured Packing, AIChE J., 2014, vol. 60, no. 2, pp. 3–12.

    Article  Google Scholar 

  2. Laptev, A.G., Lapteva E.A., and Farakhov, T.M., Models of Transport Phenomena in Random Packed and Granular Beds, Theor. Found. Chem. Eng., 2015, vol. 49, no. 4, pp. 388–395.

    Article  Google Scholar 

  3. Pavlenko, A.N., Zhukov, V.E., Pecherkin, N.I., Volodin, O.A., Surtaev, A.S., Li, X., Gao, X., Zhang, L., Sui, H., and Li, H., Effect of Dynamically Controlled Irrigation of a Structured Packing on Mixture Separation Efficiency, J. Eng. Therm., 2015, vol. 24, no. 3, pp. 210–221.

    Article  Google Scholar 

  4. Ramm, V.M., Absorbtsiya gazov (Gas Absorption), Moscow: Khimiya, 1976.

    Google Scholar 

  5. Kholpanov, L.P. and Shkadov, V.Ya., Gidrodinamika i teplomassoobmen s poverkhnost’yu razdela (Fluid Dynamics and Heat and Mass Transfer with Interface), Moscow: Nauka, 1990.

    Google Scholar 

  6. Komissarov, Yu.A., Gordeev, L.S., and Vent, D.P., Protsessy i apparaty khimicheskoi tekhnologii. Ucheb-noe posobie dlya vuzov (Processes and Apparatus of Chemical Technology. Handbook for Universities), Komissarov, Yu.A., Ed., Moscow: Khimiya, 2011.

    Google Scholar 

  7. Nigmatulin, R.I., Osnovy mekhaniki geterogennykh sred (Fundamentals of Mechanics of Heterogeneous Media), Moscow: Nauka, 1978.

    Google Scholar 

  8. Rosen, A.M., Martyushin, E.I., Olevskii, V.M., et al., Masshtabnyi perekhod v khimicheskoi tekhnologii: razrabotka promyshlennykh apparatov metodom gidrodinamicheskogo modelirovaniya (Scale-Up in Chemical Technology: Development of Industrial Devices by Method of Hydrodynamic Modeling), Rosen, A.M., Ed., Moscow: Khimiya, 1980.

    Google Scholar 

  9. Li, X., Shi, Q., Li, H., Yao, Y., Gao, X., and Pavlenko, A.N., Experimental Characterization of Novel SiC Foam Corrugated Structured Packing with Varied Pore Size and Corrugation Angle, J. Eng. Therm., 2017, vol. 26, no. 4, pp. 452–465.

    Article  Google Scholar 

  10. Laptev, A.G. and Farakhov, T.M., Model of Mass Transfer in Granular and Packed Layers, Izv. Vuzov. Khim. Khim. Tekhnol., 2013, pp. 92–96.

    Google Scholar 

  11. Laptev, A.G., Farakhov, T.M., and Dudarovskaya, O.G., Models of Turbulent Viscosity and Mixing in Channels and Packed Type In-Line Mixers, Zh. Prikl. Khim., 2013, vol. 86, no. 7, pp. 1112–1121.

    Google Scholar 

  12. Shklyar, R.L. and Axelrod, Yu.V., Study of Chemisorption in Packed Column, Khim. Prom., 1972, no. 3, p. 198.

    Google Scholar 

  13. Pushnov, A.S., Balternas, P., Kagan, A., and Zagorskis, A., Aerodinamika vozdukhoochistnykh ustroistv s zernistym sloem (Aerodynamics of Air-Cleaning Devices with Granular Layer), Vilnius: Tekhnika, 2010.

    Google Scholar 

  14. Yasaveev, Kh.N., Improving the Efficiency of Complex of Gas Condensate Processing Plants, Doctoral (Eng.) Dissertation, Kazan, 2004.

    Google Scholar 

Download references

Acknowledgments

The work was performed within the framework of the basic part of the state assignment in the field of scientific activity (no. 13.6384.2017/BCh).

Author information

Authors and Affiliations

  1. Kazan State Power Engineering University, ul. Krasnoselskaya 51, Kazan, 420066, Russia

    A. G. Laptev & T. M. Farakhov

Authors
  1. A. G. Laptev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. M. Farakhov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. G. Laptev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Laptev, A.G., Farakhov, T.M. Mathematical Model of Mass Transfer in Randomly Packed Columns with Phase Maldistribution. J. Engin. Thermophys. 28, 392–399 (2019). https://doi.org/10.1134/S1810232819030093

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1810232819030093

Search

Navigation