Skip to main content
Log in

Numerical study of a transverse streamlined flow of an infinite series of cylinders

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

The problem of transverse streamlined flow of an infinite series of cylinders by a flow of viscous incompressible liquid is considered. The problem is solved numerically by using the method of difference approximation of the Navier-Stokes equations with use of Arakawa scheme of the second degree of accuracy. Computations were given for a series of cylinders with the step L=2.2, 2.8, 3.2, 3.6 and with Reynolds numbers Re equal to 40, 100, 200, 400. Relations between the hydrodynamic characteristics of the series and the distance between the axes of the cylinders are obtained for different 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. I.A. Belov and N. A. Kudryavtsev, “Numerical study of transverse streamline flow of checkered pile of tubes,” Inzh.-Fiz. Zh., No. 4, 663–668 (1981).

    Google Scholar 

  2. A. Arakawa, “Computational design of longterm numerical integration of the equations of fluid motion. 1. Two-dimensional incompressible flow,” J. of Comput. Phys., 1, No. 1, 119–143.

  3. I. A. Belov, “Close-circuit flow of liquid around the surfaces of a blunted body,” An Abstract of a Lecture on the Seminar on Numerical Methods of Solutions of Aerohydrodynamics Problems in the Computing Center of the Moscow State University, Fluid and Gas Mechanics, No. 3, 175 (1977).

    Google Scholar 

  4. V. N. Khanzhonkov, “Resistance of nets,” Industry Aerodynamics, Moscow, B.I., pp. 35–42 (1944).

    Google Scholar 

  5. I. E. Idel'chik, A Manual on Hydraulic Resistances [in Russian], Energoizdat, Moscow (1960).

    Google Scholar 

  6. P. Rouch, Computational Hydromechanics [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  7. A. V. Larev and A. G. Sudakov, “Numerical study of aerodynamic characteristics of permeable screens,” Interaction of Shells with a Fluid, Issue 14, 154–162 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Dinamicheskie Sistemy, No. 7, pp. 53–57, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gliznutsa, V.V., Sudakov, A.G. Numerical study of a transverse streamlined flow of an infinite series of cylinders. J Math Sci 65, 1530–1533 (1993). https://doi.org/10.1007/BF01097658

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097658

Keywords

Navigation