Skip to main content
SpringerLink
Log in

Influence of the Topology of a Solid Body on its Mass Conductivity

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

The problem on the mass transfer in a solid body under conditions where the concentration of the substance distributed in the body remains unchanged at its surface was formulated and solved analytically on the basis of the generalized differential mass-conduction (diffusion) equation for bodies different in shape (an unbounded plate, an endless cylinder, and a sphere). The influence of the topology of a solid body on the time changes in the concentration of a substance distributed in it at its center, the concentration of the distributed substance averaged over the volume of the body, and the gradient of the concentration of this substance at the surface of the body was numerically analyzed.

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. S. P. Rudobashta, Mathematical simulation of the process of convective drying of disperse materials, Izv. Ross. Akad. Nauk, Énergetika, No. 4, 98–108 (2000).

  2. S. P. Rudobashta, Mass Transfer in Systems with a Solid Phase [in Russian], Khimiya, Moscow (1980).

  3. S. P. Rudobashta and É. M. Kartashov, Chemical Technology: Diffusion Processes [in Russian], 3rd revised and supplemented edn., in 2 parts, Yurait, Moscow (2018).

  4. Physicochemical Bases of the Fibration and Leaching Processes in the Production of Fibers [in Russian], Goskhimizdat, Leningrad (1958), pp. 105–144.

  5. G. A. Aksel′rud, Mass Exchange in the Solid–Liquid System [in Russian], Izd. L′vovskogo Univ., L′vov (1970).

  6. A. V. Luikov, Theory of Drying [in Russian], Énergiya, Moscow (1968).

  7. N. V. Kel′tsev, Bases of the Adsorption Technique [in Russian], Khimiya, Moscow (1984).

  8. F. Jokisch, Über den Stofftransport im hygroskopischen Feuchtebereich kapillar-poröser Stoffe am Beispiel des Wasserdampftransports in technischen Adsorbentien, Diss. TH, Darmstadt (1975).

  9. S. P. Rudobashta, Polymeric materials drying, in: Proc. Int. Symp. on Manufacturing and Materials Processing, 27–31 August 1990, Vol. 1, Dubrovnik, Yugoslavia (1990), pр. 661–678.

  10. S. P. Rudobashta and V. M. Dmitriev, Kinetics and apparatus-technological arrangement of convective drying of disperse polymer materials, J. Eng. Phys. Thermophys., 78, No. 3, 463–473 (2005).

    Article  Google Scholar 

  11. S. P. Rudobashta, M. K. Kosheleva, and É. M. Kartashov, Modeling of the extraction of a target component from bodies of spherical shape in a semicontinuous process, J. Eng. Phys. Thermophys., 90, No. 4, 797–805 (2017).

    Article  Google Scholar 

  12. S. P. Rudobashta, M. K. Kosheleva, and É. M. Kartashov, Mathematical simulation of the process of extraction of a blending agent from sheetlike bodies in the semicontinuous regime, Teor. Osn. Khim. Tekhnol., 52, No. 1, 53–59 (2018).

    Google Scholar 

  13. S. P. Rudobashta, M. K. Kosheleva, and É. M. Kartashov, Mathematical simulation of the extraction of a blending agent from cylindrical bodies in the semicontinuous regime, J. Eng. Phys. Thermophys., 89, No. 3, 606–613 (2016).

    Article  Google Scholar 

  14. S. P. Rudobashta, G. A. Zueva, E. A. Muravleva, and V. M. Dmitriev, Mass conductivity of capillary-porous colloidal materials subjected to convective drying, J. Eng. Phys. Thermophys., 91, No. 4, 845–853 (2018).

    Article  Google Scholar 

  15. G. A. Zueva, Methods of Mathematical Physics, Partial Differential Equations, Integral Equations, Special Functions, Teaching Aid [in Russian], Ivanovskii Gos. Tekh. Univ., Ivanovo (2012).

    Google Scholar 

  16. P. V. Akulich and A. A. Akulich, Heat and mass exchange between drops in a solution under the conditions of nonstationary and combined thermal actions, in: Coll. of Abstr. of Papers Presented at the XV Minsk Int. Forum of Heat and Mass Exchange, 23–26 May 2016, Minsk (2016), Vol. 3, pp. 83–87.

  17. É. M. Kartashov, Integral relations for analytical solutions of the generalized equation of nonstationary heat conduction, Izv. Ross. Akad. Nauk, Énergetika, No. 1, 32–39 (2011).

Download references

Author information

Authors and Affiliations

  1. Russian State Agrarian University (K. A. Timiryazev Moscow Agricultural Academy), 49 Timiryazev Str., Moscow, 127550, Russia

    S. P. Rudobashta

  2. Russian Technological University (Institute of Fine Chemical Technologies), 78 Vernadskii Ave., Moscow, 119571, Russia

    É. M. Kartashov

  3. Ivanovo State University of Chemistry and Technology, 7 Sheremetevskii Ave., Ivanovo, 152000, Russia

    G. A. Zueva

Authors
  1. S. P. Rudobashta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. É. M. Kartashov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. A. Zueva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. P. Rudobashta.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 4, pp. 927–935, July–August, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rudobashta, S.P., Kartashov, É.M. & Zueva, G.A. Influence of the Topology of a Solid Body on its Mass Conductivity. J Eng Phys Thermophy 92, 899–906 (2019). https://doi.org/10.1007/s10891-019-02001-w

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-019-02001-w

Keywords

Search

Navigation