Skip to main content
Log in

Drag of porous cylinders in a viscous fluid at low reynolds numbers

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The problem of flow past a permeable cylinder at low Reynolds numbers is of interest for the solution of a number of problems in chemical technology in, for example, the design of porous electrodes and porous catalysts and in the calculation of nonstationary filtration of aerosols by fibrous filters. In the present paper, we solve the problem of transverse flow of a viscous fluid past a continuous cylinder in a porous shell and, in particular, in the case of a porous cylinder under conditions of constrained flow (system of cylinders) and an isolated cylinder at arbitrary permeability. The analogous problem of Stokes flow past permeable spheres has been solved in a number of papers [1–3].

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. K. Yamamoto, “Flow of viscous fluid at small Reynolds numbers past a porous sphere,” J. Phys. Soc. Jpn.,31, No. 5 (1971).

  2. K. Yamamoto, “Flow of viscous fluid at small Reynolds numbers past a porous body,” J. Phys. Soc. Jpn.,34, No. 3 (1973).

  3. G. Neale, N. Epstein, and W. Nader, “Creeping flow relative to permeable spheres,” Chem. Eng. Sci.,28, No. 10 (1973).

  4. S. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics, Prentice-Hall, Englewood Cliffs (1965).

    Google Scholar 

  5. P. G. Saffman, “On the boundary condition at the surface of a porous medium,” Stud. Appl. Math.,50, No. 2 (1971).

  6. S. Kuwbara, “The forces experienced by randomly distributed parallel circular cylinders or spheres in viscous flow at small Reynolds numbers,” J. Phys. Soc. Jpn.,14, No. 4 (1959).

  7. N. E. Kochin, I. A. Kibel', and N. V. Roze, Theoretical Hydrodynamics, Part 2, New York (1964).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 122–124, November–December, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stechkina, I.B. Drag of porous cylinders in a viscous fluid at low reynolds numbers. Fluid Dyn 14, 912–915 (1979). https://doi.org/10.1007/BF01051997

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01051997

Keywords

Navigation