Skip to main content
SpringerLink
Log in

Effective diffusion of a dynamically passive impurity in narrow channels

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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

Literature cited

  1. G. Taylor, “Dispersion of soluble matter in solvent flowing slowly through a tube,” Proc. R. Soc. London Ser. A,219, No. 1137 (1953).

  2. R. Aris, “On the dispersion of a solute in a fluid flowing through a tube,” Proc. R. Soc. London Ser. A,235, No. 1200 (1956).

  3. V. I. Maron, “Mixing of mutually soluble liquids in a turbulent pipe flow,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1971).

  4. V. V. Dil'man and A. E. Kronberg, “Longitudinal dispersion in the laminar motion of a fluid in a circular pipe,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1984).

  5. M. A. Lavrent'ev and B. V. Shabat, Problems of Hydrodynamics and Their Mathematical Models [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. G. K. Batchelor, “On steady laminar flow with closed streamlines at large Reynolds number,” J. Fluid Mech.,1, No. 2 (1956).

  7. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge (1970).

    Google Scholar 

  8. E. G. Shifrin, “On the Batchelor theorem regarding circulation regions,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1976).

  9. M. Van Dyke, Perturbation Methods in Fluid Mechanics, Parabolic Press (1975).

  10. J. Cowell, Perturbation Methods in Applied Mechanics [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  11. M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  12. M. A. Gol'dshtik, Vortex Flows [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  13. A. B. Shabat, “Two combination problems,” Dokl. Akad. Nauk SSSR,150, No. 6 (1963).

  14. S. I. Chernyshenko, “Approximate method of determining vorticity in the separation zone with viscosity approaching zero,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1982).

  15. H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill.

  16. Ya. S. Uflyand, “Certain new integral transforms and their applications to problems of mathematical physics,” in: Problems of Mathematical Physics [in Russian], Nauka, Leningrad (1976).

    Google Scholar 

  17. N. N. Lebedev and I. P. Skalskaya, “Expansion of an arbitrary function in an integral over spherical functions,” Prikl. Mat. Mekh.,30, No. 2 (1966).

Download references

Author information

Authors and Affiliations

  1. Leningrad

    A. I. Moshinskii

Authors
  1. A. I. Moshinskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 62–71, May–June, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moshinskii, A.I. Effective diffusion of a dynamically passive impurity in narrow channels. J Appl Mech Tech Phys 28, 374–382 (1987). https://doi.org/10.1007/BF00910622

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00910622

Keywords

Search

Navigation