Skip to main content
Log in

Unsteady incompressible two-dimensional and axisymmetric turbulent boundary layer flows

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The unsteady turbulent incompressible boundary-layer flow over two-dimensional and axisymmetric bodies with pressure gradient has been studied. An eddy-viscosity model has been used to model the Reynolds shear stress. The unsteadiness is due to variations in the free stream velocity with time. The nonlinear partial differential equation with three independent variables governing the flow has been solved using Keller's Box method. The results indicate that the free stram velocity distribution exerts strong influence on the boundary-layer characteristics. The point of zero skin friction is found to move upstream as time increases.

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. McCroskey, W. J., Philippe, J. J.: Unsteady viscous flow on oscillating airfoils. AIAA J.13, 71–79 (1975).

    Google Scholar 

  2. Telionis, D. P.: Calculations of time dependent boundary layers, in: Unsteady aerodynamics (Kinney, R. B., ed.)1, 155 (1975).

  3. Nash, J. F., Carr, L. W., Singelton, R. E.: Unsteady turbulent boundary layers in two-dimensional, incompressible flow. AIAA J.13, 167–173 (1975).

    Google Scholar 

  4. Patel, V. C., Nash, J. F.: Unsteady turbulent boundary layers with flow reversal, in: Unsteady aerodynamics (Kinney, R. B., ed.)1, 191 (1975).

  5. Cebeci, T.: Calculation of unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity. Proc. Roy. Soc. London,A355, 225–238 (1977).

    Google Scholar 

  6. Bradshaw, P.: NPL Aero. Rept.-1288, 1969.

  7. Cebeci, T.: Calculation of laminar and turbulent boundary layers for two-dimensional time-dependent flows. NASA CR-2820, 1977.

  8. Karlsson, S. K. F.: An unsteady turbulent boundary layer. J. Fluid Mech.,5, 622–636 (1959).

    Google Scholar 

  9. Telionis, D. P., Tsahalis, D. Th.: Unsteady turbulent boundary layers and separation. AIAA J.14, 468–474 (1976).

    Google Scholar 

  10. Patel, M. H.: An integral method for the oscillating turbulent boundary layer. The Aeronautical Quart.32, 271–298 (1981).

    Google Scholar 

  11. Fernholz, H. H., Vagt, J. D.: Turbulence meyasurements in an adverse pressuregradient three-dimensional boundary layer along a circular cylinder. J. Fluid Mech.,11, 233–269 (1981).

    Google Scholar 

  12. Kiya, M., Suzuki, Y., Arie, M., Hagino, M.: A contribution to the free-stream turbulence effect on the flow past a circular cylinder. J. Fluid Mech.115, 151–164 (1982).

    Google Scholar 

  13. Roshko, A.: Experiments on the flow past a circular cylinder at high Reynolds number. J. Fluid Mech.10, 345–356 (1961).

    Google Scholar 

  14. Cebeci, T., Mosinskis, G. J., Smith, A. M. O.: Calculation of seperation points in incompressible turbulent flows. J. Aircraft9, 618–624 (1972).

    Google Scholar 

  15. Fage, A.: Experiments on a sphere at a critical Reynolds numbers. ARC R M-1766 (1937).

  16. Sears, W. R., Telionis, D. P.: Boundary layer separation in unsteady flow. SIAM J. Appl. Math.28, 215–235 (1975).

    Google Scholar 

  17. Williams, J. C.: Incompressible laminar boundary layer separation. Ann. Rev. Fluid Mech.9, 113–144 (1977).

    Google Scholar 

  18. McCroskey, W. J.: Some current research in unsteady fluid dynamics, Trans. ASME, J. Fluids Engng.99, 8–38 (1977).

    Google Scholar 

  19. Telionis, D. P.: Review-unsteady boundary layers, separated and attached. Trans. ASME, J. Fluids Engng.101, 29–43 (1979).

    Google Scholar 

  20. Telionis, D. P., Tsahalis, D. Th., Werle, M. J.: Numerical investigation of unsteady boundary layer separation. The Phys. Fluids16, 968–973 (1973).

    Google Scholar 

  21. Telionis, D. P., Tsahalis, D. Th.: The response of unsteady boundary layers separation to impulsive changes of outer flow. AIAA J.12, 614–619 (1974).

    Google Scholar 

  22. Williams, J. C. III, Johnson, W. D.: Semi-similar solutions of unsteady boundary layer flows including separation. AIAA J.12, 1388–1393 (1974).

    Google Scholar 

  23. Williams, J. C. III, Johnson, W. D.: New solutions to the unsteady laminar boundarylayer equations including the approach to separation, in: Unsteady aerodynamics (Kinney, R. B., ed.),1, 261 (1975).

  24. Cebeci, T.: The laminar boundary layer on a circular cylinder started impulsively from rest. J. Comput. Phys.31, 153–172 (1979).

    Google Scholar 

  25. Williams, J. C. III: Flow developments in the vicinity of the sharp trailing edge on bodies impulsively set into motion. J. Fluid Mech.115, 27–37 (1982).

    Google Scholar 

  26. Van Dommelen, L. L., Shen, S. F.: An unsteady interactive separation process. AIAA J.21, 358–362 (1983).

    Google Scholar 

  27. Williams, J. C. III, Wang, T. J.: Semisimilar solutions of the unsteady compressible laminar boundary-layer equations. AIAA J.23, 228–233 (1985).

    Google Scholar 

  28. Cebeci, T., Bradshaw, P.: Physical and computational aspects of convective heat transfer. New York: Springer 1984.

    Google Scholar 

  29. Surma Devi, C. D., Nath, G.: Unsteady nonsimilar laminar boundary layer flows with heat and mass transfer. Acta Technica Csav28, 225–239 (1983).

    Google Scholar 

  30. Cebeci, T., Bradshaw, P.: Momentum transfer in boundary layers. Washington: McGraw-Hill-Hemisphere 1977.

    Google Scholar 

  31. Cebeci, T., Smith, A. M. O.: Analysis of turbulent boundary layers. New York: Academic Press 1974.

    Google Scholar 

  32. Chang, P. K.: Separation of flow. Oxford: Pergamon Press 1970.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 13 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kumari, M. Unsteady incompressible two-dimensional and axisymmetric turbulent boundary layer flows. Acta Mechanica 59, 251–268 (1986). https://doi.org/10.1007/BF01181667

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01181667

Keywords

Navigation