Skip to main content
Log in

The flow of a viscous liquid past a doubly periodic row of cylinders

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

Abstract

The flow of a liquid in a system of parallel cylinders arranged perpendicularlyto the flow is considered for small Reynolds numbers.

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

References

  1. S. Kuwabara, “The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds number,” J. Phys. Soc. Japan, vol. 11, no. 4, 1959.

  2. J. Happel, “Viscous flow relative to arrays of cylinders,” Amer. Instit. Chem. Engng. J., vol. 15, no. 21, 1959.

  3. A. A. Kirsh and N. A. Fuks, “Flow of liquid in a system of parallel cylinders arranged perpendicular to the flow, for small Reynolds numbers,” PMTF[JAM], no. 6, 1966.

  4. N. A. Slezkin, The Dynamics of Viscous Incompressible Liquid [in Russian], Gostekhizdat, 1955.

  5. H. Hasimoto, “Periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of sphere,” J. Fluid Mech., vol. 5, no. 2 1959.

    Google Scholar 

  6. E. T. Whittaker and J. N. Watson, A Course of Modern Analysis, Part 2 [Russian translation], Fizmatgiz, 1963.

  7. F. M. Morse and G. Feshbach, Methods of Theoretical Physics, Vol. 2 [Russian translation], IL, 1960.

  8. T. Miyagi, “Viscous flow at low Reynolds number past an infinite row of equal circular cylinders,” J. Phys. Soc. Japan, vol. 13, no. 5, 1958.

    Google Scholar 

  9. W. Magnus and F. Oberhettinger, “Formeln und Sätze für die speziellen Functionender mathematischen Physik, Berlin, 1948.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golovin, A.M., Lopatin, V.A. The flow of a viscous liquid past a doubly periodic row of cylinders. J Appl Mech Tech Phys 9, 198–201 (1968). https://doi.org/10.1007/BF00913184

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00913184

Keywords

Navigation