Skip to main content
SpringerLink
Log in

Numerical simulation of three-dimensional unsteady viscous flow past finite cylinders in an unbounded fluid at low intermediate reynolds numbers

  • Published:
Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript

Abstract

The flow past finite circular cylinders for Reynolds numbers 40 and 70 were simulated by numerical solutions of the incompressible Navier-Stokes equations. A nonuniform cartesian grid was used for the computation. The numerical scheme used was the QUICK scheme. Comparisons with experimental measurements of Jayaweera and Mason show that the results of the simulation are satisfactory. Features of three-dimensional unsteady viscous flow past finite cylinders, such as the pyramidal wake and the three-dimensional von Karmen vortex street, are successfully simulated.

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

  • Anderson, D.A., Tannehill, J.C., and Pletcher, R.H. (1984). Computational Fluid Mechanics and Heat Transfer, McGraw-Hill, New York, 599 pp.

    Google Scholar 

  • Braza, M., Chassiang, P., and Minh, H. Ha (1986). Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid Mech., 165, 79–130.

    Google Scholar 

  • Chilukuri, R. (1987). Incompressible laminar flow past a transversely vibrating cylinder. Trans. ASME, 109, 166–171.

    Google Scholar 

  • Davis, R.W. (1984). Finite difference methods for fluid flow. In Computational Techniques and Applications, J. Noye and C. Fletcher, eds., Elsevier, Amsterdam.

    Google Scholar 

  • Freitas, C.J., Street, R.L., Findikakis, A.N., and Koseff, J.R. (1985). Numerical simulation of three-dimensional flow in a cavity. Internat. J. Numer. Methods Fluids, 5, 561–575.

    Google Scholar 

  • Grove, A.S., Shair, F.H., Petersen, E.E., and Acrivos, A. (1964). Experimental investigation of steady separated flow past a circular cylinder. J. Fluid Mech., 19, 60.

    Google Scholar 

  • Jayaweera, K.O.L.F., and Cottis, R.E. (1969). Fall velocities of plate-like and columnar ice crystals. Quart. J. Roy. Met. Soc., 95, 703–709.

    Google Scholar 

  • Jayaweera, K.O.L.F., and Mason, B.J. (1965). The behaviour of freely falling cylinders and cones in a viscous fluid. J. Fluid Mech., 22, 709–720.

    Google Scholar 

  • Kaul, U.K., Kwak, D., and Wagner, C. (1985). A computational study of saddle point separation and horseshoe vortex system. AIAA Paper 85-0182, AIAA 23rd Aerospace Science Meeting, Reno, Neveda.

  • Kiehm, P., Mitra, N.K., and Fiebig, M. (1985). Numerical study of confined 2-D and 3-D laminar flows around a circular cylinder. Proceedings of the 6th GAMM Conference on Numerical Methods in Fluid Mechanics, Gottingen, 25–27 September, 1985, pp. 1–9.

  • Leonard, B.P. (1979). Adjusted quadratic upstream algorithms for transient incompressible convection. In A Collection of Technical Papers: AIAA Computational Fluid Dynamics Conference, AIAA, New York, AIAA Paper 79-1469.

  • Miller, N.L., and Wang, P.K. (1989). A theoretical determination of the efficiency with which aerosol particles are collected by falling columnar ice crystals. J. Atmospheric Sci., 46, 1656–1663.

    Google Scholar 

  • Peyret, R., and Taylor, T.D. (1983). Computational Methods for Fluid Flow, Springer-Verlag, Berlin, 358 pp.

    Google Scholar 

  • Pruppacher, H.R., and Klett, J.D. (1978). Microphysics of Clouds and Precipitation, Reidel, Dordrecht, 714 pp.

    Google Scholar 

  • Stern, A.C. (1977). Air Pollution, Vol. II, Academic Press, New York, 684 pp.

    Google Scholar 

  • Telionis, D. (1981). Unsteady Viscous Flows, Springer-Verlag, New York, 406 pp.

    Google Scholar 

  • Wang, P.K., and Pruppacher, H.R. (1980). On the efficiency with which aerosol particles of radius less than one micron are collected by columnar ice crystals. Pure Appl. Geophys., 118, 1090–1108.

    Google Scholar 

  • Wang, P.K., Chuang, C.H., and Miller, N.L. (1985). Electrostatic, temperature, and vapor density fields surrounding stationary columnar ice crystals. J. Atmospheric Sci., 42, 2371–2379.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Meteorology, University of Wisconsin, 53706, Madison, WI, U.S.A.

    Wusheng Ji & Pao K. Wang

Authors
  1. Wusheng Ji
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pao K. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by D.D. Joseph

This work was supported by U.S. NSF Division of Atmospheric Science, Physical Meteorology Program, Grant ATM-9002299. All correspondence must be addressed to P.K. Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ji, W., Wang, P.K. Numerical simulation of three-dimensional unsteady viscous flow past finite cylinders in an unbounded fluid at low intermediate reynolds numbers. Theoret. Comput. Fluid Dynamics 3, 43–59 (1991). https://doi.org/10.1007/BF00271515

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00271515

Keywords

Search

Navigation