Skip to main content

Three-dimensional Turbulent Boundary Layer Calculations

  • Conference paper
Perspectives in Turbulence Studies

Summary

In this paper, problems arising in three-dimensional boundary layer calculations are reviewed and discussed. The emphasis is placed on unsolved problems such as: turbulence modelling, laminar-turbulent transition, occurrence of singularities in boundary layer computations.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hirschel, E.H.: Evaluation of results of boundary layer calculations with regard to design aerodynamics. AGARD FDP VKI Special Course “Computation of three-dimensional boundary layers including separation” (1986)

    Google Scholar 

  2. Cebeci, T.: Problems and opportunities with three-dimensional boundary layers. AGARD Report N° 719 “Three-dimensional boundary layers” (1984)

    Google Scholar 

  3. Hirschel, E.H.; Kordulla, W.: Shear flow in surface oriented coordinates. Notes Num. Fluid Mech. Vol. 4 - BRAUNSCHWEIG/WIESSBADEN Vieweg (1981)

    Google Scholar 

  4. Vollmers, H.: Integration of streamlines from measured static pressure fields on a surface. AIAA Journal, Vol. 20, N° 10 (1982)

    Google Scholar 

  5. Cebeci, T.; Meier, H.U.: Problems associated with the calculation of the flow around bodies of revolution at incidence. DFVLR IB 222 81 A 09 (1981)

    Google Scholar 

  6. Gleyzes, C.; Cousteix, J.: Calcul des lignes de courant à partir des pressions pariétales sur un corps fuselé. La Rech. Aérosp. N° 1984–3 (1984)

    Google Scholar 

  7. Kline, S.J.; Morkovin, M.V.; Sovran, G.; Cockrell, D.J.: Computation of turbulent boundary layers. 1968 AFOSR-IFP STANFORD Conference

    Google Scholar 

  8. Kline, S.J.; Cantwell, B.J.; LILLEY, G.M.: 1980–81 AFOSR-HTTM STANFORD Conference on Complex Turbulent Flows.

    Google Scholar 

  9. Cousteix, J.: Three-dimensional boundary layers. Introduction to calculation methods. AGARD FDP VKI Special Course on “Computation of three-dimensional boundary layers including separation” (April 1986)

    Google Scholar 

  10. Myring, D.F.: An integral prediction method for three-dimensional turbulent boundary layers. RAE TR 70147 (1970)

    Google Scholar 

  11. Smith, P.D.: An integral prediction method for three-dimensional compressible turbulent boundary layers. ARC R and M 3739 (1972)

    Google Scholar 

  12. Okuno, T.: Distribution of wall shear stress and crossflow in three-dimensional turbulent boundary layer on ship hull. Journ. Soc. Nay. Arch. JAPAN, Vol. 139 (1976)

    Google Scholar 

  13. Stock, H.W.: Calculation of three-dimensional boundary layers on wings and bodies of revolution. Proc. DEA Meeting “Viscous and interacting flow field effects” MEERSBURG (1979)

    Google Scholar 

  14. Mager, A.: Generalization of boundary layer momentum integral equation to three-dimensional flows including those of rotating systems. NACA Report 1067 (1952)

    Google Scholar 

  15. Gruschwitz, E.: Turbulente Reibungsschichten mit Sekundärströmungen. Ing. Arch. Bd 6, pp. 355 (1935)

    Article  MATH  Google Scholar 

  16. Johnston, J.P.: On the three-dimensional turbulent boundary layer generated by secondary flow. Journal of Basic Engineering, Series D, Trans. ASME, Vol. 82, pp. 233–248 (1960)

    Article  Google Scholar 

  17. Coles, D.: The law of the wake in the turbulent boundary layer. J. Fluid Mech., Vol. 1, pp. 191–226 (1956)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Cross, A.G.T.: Calculation of compressible three-dimensional turbulent boundary layers with particular reference to wings and bodies. British Aerospace Brough YAD 3379 (1979)

    Google Scholar 

  19. Le Balleur, J.C.: Numerical viscid-inviscid interaction in steady and unsteady flows. 2nd Symp. on Numerical and Physical Aspects of Aerodynamic Flows - T. Cebeci, Ed. (1983)

    Google Scholar 

  20. Elsenaar, A.; Boelsma, S.M.: Measurements of the REYNOLDS stress tensor in a three-dimensional turbulent boundary layer under infinite swept wing conditions. NLR TR 74095 U (1974)

    Google Scholar 

  21. Bradshaw, P.; Pontikos, N.S.: Measurements in the turbulent boundary layer on an “infinite” swept wing. J. Fluid Mech., Vol. 159, pp. 105–130 (1985)

    Article  ADS  Google Scholar 

  22. Van den Berg, B.; Elsenaar, A.; Lindhout, J.P.F.; Wessling, P.: Measurements in an incompressible three-dimensional turbulent boundary layer under infinite swept wing conditions and comparison with theory. J. Fluid Mech., Vol. 70, pp. 127–149 (1975)

    Article  ADS  Google Scholar 

  23. Bradshaw, P.: Physics and modelling of three-dimensional boundary layers. AGARD FDP VKI Special Course on “Computation of three-dimensional boundary layers including separation” (1986)

    Google Scholar 

  24. Van den Berg B.: A three-dimensional law of the wall for turbulent shear flows. J. Fluid Mech., Vol. 70, p. 149 (1975)

    Article  MATH  ADS  Google Scholar 

  25. East, L.F.; Sawyer, W.G.: An investigation of the structure of equilibrium turbulent boundary layers. AGARD CP N° 271 (1979)

    Google Scholar 

  26. Goldberg, U.C.; Reshotko, E.: Scaling and modelling of three-dimensional end wall turbulent boundary layers. NASA CR 3792 (1984)

    Google Scholar 

  27. Cebeci, T.: An approach to practical aerodynamic configurations. AGARD FDP VKI Special Course on “Computation of three-dimensional boundary layers including separation” (April 1986)

    Google Scholar 

  28. Cousteix, J.; Quémard, C.; Michel, R.: Application d’un schéma amélioré de longueur de mélange à l’étude des couches limites turbulentes tridimensionnelles. AGARD CP N° 93 on Turbulent Shear Flows (1977)

    Google Scholar 

  29. Bradshaw, P.; Terrell, M.G.: The response of a turbulent boundary layer on an infinite swept wing to the sudden removal of pressure gradient. NPL Aero Rep. 1305 (1969)

    Google Scholar 

  30. EAst L.F.: Computation of three-dimensional turbulent boundary layers. EUROMECH 60 - TRONDHEIM FFA TN AE 1211 (1975)

    Google Scholar 

  31. East, L.F.: Measurements of the three-dimensional incompressible turbulent boundary layer induced on the surface of a slender delta wing by the leading edge vortex. ARC R and M 3768 (1973)

    Google Scholar 

  32. Johnston, J.P.: Measurements in a three-dimensional turbulent boundary layer induced by a swept forward-facing step. J. Fluid Mech., Vol. 42, Part 4 (1970)

    Google Scholar 

  33. Abid, R.; Schmitt, R.: Etude critique de modèles de turbulence appliqués à une couche limite tridimensionnelle décollée. La Rech. Aérosp. N° 1981–6 (1981)

    Google Scholar 

  34. Rotta, J.C.: A family of turbulence models for three-dimensional boundary layers. Turbulent Shear Flows I, BERLIN, Springer Verlag, pp. 267–278 (1979)

    Google Scholar 

  35. Cousteix, J.; Aupoix, B.; Pailhas, G.: Synthèse de résultats théoriques et expérimentaux sur les couches limites et sillages turbulents tridimensionnels. ONERA N.T. 1980–4 (1980)

    Google Scholar 

  36. Special Course on Stability and Transition of Laminar Flow. AGARD Report N° 709 (1984)

    Google Scholar 

  37. Arnal, D.: Three-dimensional boundary layers: laminar-turbulent transition. AGARD FDP VKI Special Course on Computation of Three-dimensional Boundary Layers including separation (April 1986)

    Google Scholar 

  38. Smith, A.M.O.; Gamberoni, N.: Transition, pressure gradient and stability theory. Douglas Aircraft Co. Rept. ES 26388, EL SEGUNDO, CA (1956)

    Google Scholar 

  39. Van Ingen, J.L.: A suggested semi-empirical method for the calculation of the boundary layer transition region. Univ. of Tech., Dpt. of Aero. Eng., Rept. UTH 74, DELFT (1956)

    Google Scholar 

  40. Gray, W.E.: The effect of wing sweep on laminar flow. RAE Technical Memorandum 255 (1952)

    Google Scholar 

  41. Gregory, N.; Stuart, J.T.; Walker, W.S.: On the stability of three-dimensional boundary layer with application to the flow due to a rotating disk. Philosophical Transactions of the Royal Society of LONDON, Series A, Vol. 248 (1955)

    Google Scholar 

  42. Boltz, F.W.; Kenyon, G.C.; Allen, C.Q.: Effects of sweep angle on the boundary layer stability characteristics of an untapered wing at low speeds. NASA TN D-338 (1960)

    Google Scholar 

  43. Schmitt, V.; Manie, F.: Ecoulements subsoniques et transsoniques sur une aile à flèche variable. La Rech. Aérosp. N° 1979–4 (1979)

    Google Scholar 

  44. Poll, D.I.A.: Some observations of the transition process on the windward face of a long yawed cylinder. J. Fluid Mech., Vol. 150 (1985)

    Google Scholar 

  45. Michel, R.; Arnal, D.; Coustols, E.; Juillen, J.C.: Experimental and theoretical studies of boundary layer transition on a swept infinite wing. 2nd Symp. IUTAM on Laminar-Turbulent Transition - Springer Verlag (1984)

    Google Scholar 

  46. Eichelbrenner, E.; Michel, R.: Observations sur la transition laminaire-turbulent en trois dimensions. La Rech. Aérosp. N° 65 (1958)

    Google Scholar 

  47. Meier, H.U.; Kreplin, H.P.; Vollmers, H.: Development of boundary layer and separation patterns on a body of revolution at’incidence. 2nd Symp. on Numerical and Physical Aspects of Aerodynamic Flows, LONG BEACH (1983)

    Google Scholar 

  48. Hefner, J.N.; Bushnell, D.M.: Status of linear boundary layer stability theory and the en method, with emphasis on swept wing applications. NASA Technical Paper 1645 (1980)

    Google Scholar 

  49. Malik, M.R.; Poll, D.I.A.: Effect of curvature on three-dimensional boundary layer stability. AIAA Journal, Vol. 23, N° 9 (1985)

    Google Scholar 

  50. Owen, P.R.; Randall, D.G.: Boundary layer transition on a swept back wing: a further investigation. RAE TM 330 (1953)

    Google Scholar 

  51. Beasley, A.: Calculation of the laminar boundary layer and the prediction of transition on a sheared wing. ARC R and M 3787 (1973)

    Google Scholar 

  52. Arnal, D.; Habiballah, M.; Coustols, E.: Théorie de l’instabilité laminaire et critères de transition en écoulements bi et tridimensionnels. La Rech. Aérosp. N° 1984–2 (1984)

    Google Scholar 

  53. Goldstein, S.: On laminar boundary layer flow near a position of separation. Q. J. Mech. Appl. Math., 1, pp. 43–69 (1948)

    Article  MATH  Google Scholar 

  54. Cousteix, J.; Houdeville, R.: Singularities in three-dimensional turbulent boundary layers calculations and separation phenomena. AIAA Journal, Vol. 19, N° 8, pp. 976–985 (1981)

    Google Scholar 

  55. Cousteix, J.: Three-dimensional and unsteady boundary layer computations. Ann. Rev. Fluid Mech., Vol. 18, pp. 173–196 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  56. Lindhout, J.P.F.; Van den Berg, B.; Elsenaar, A.: Comparison of boundary layer calculations for the root section of a wing. The September 1979 AMSTERDAM Workshop Test Case - NLR MP 80 028 U (1981)

    Google Scholar 

  57. Cebeci, T.; Khattab, A.K.; Stewartson, K.: Three-dimensional laminar boundary layers and the ok of accessibility. J. Fluid Mech., Vol. 107, pp. 57–87 (1981)

    Article  MATH  ADS  Google Scholar 

  58. Williams, J.C.: Singularities in solutions of the three-dimensional laminar boundary layer equations. J. Fluid Mech., Vol. 160, pp. 257–279 (1985)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  59. Stewartson, K.: On the impulsive motion of a flat plate in a viscous fluid. Q.J. Mech. Appl. Math., Vol. 4, pp. 182–198 (1951)

    Article  MATH  MathSciNet  Google Scholar 

  60. Pierce, F.J.; McAllister, J.E.; Tennant, M.H.: A review of near-wall similarity models in three-dimensional turbulence. J. Fluids Engg. 105 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin, Heidelberg

About this paper

Cite this paper

Cousteix, J., Michel, R. (1987). Three-dimensional Turbulent Boundary Layer Calculations. In: Meier, H.U., Bradshaw, P. (eds) Perspectives in Turbulence Studies. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82994-9_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82994-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82996-3

  • Online ISBN: 978-3-642-82994-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics