Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T21:36:19.788Z Has data issue: false hasContentIssue false
  • English
  • Français

Modelling the formation and dispersal of streamwise vortices in turbulent flow

Part of: RAeS Lanchester Lecture Papers

Published online by Cambridge University Press:  04 July 2016

B. E. Launder
B. E. Launder*
Affiliation:
UMIST, Manchester, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

In many practical circumstances in aeronautical engineering and in related industries, flows arise where concentrated streamwise vorticity is embedded within a turbulent shear flow. The juxtaposition of these features makes such flows particularly challenging to compute using CFD methods. In particular, one may be forced to abandon strategies for modelling the turbulent stresses that prove adequate in two dimensional shear flows (i.e. in flows where the vorticity vector is orthogonal to the mean velocity). The paper reviews developments in modelling turbulent stresses from their transport equations (rather than by appeal to an eddy viscosity hypothesis) and demonstrates, by way of a range of examples, the capabilities of this approach for handling flows with concentrated streamwise vorticity.

Type
35th Lanchester Lecture
Information
The Aeronautical Journal , Volume 99 , Issue 990 , December 1995 , pp. 419 - 431
Copyright
Copyright © Royal Aeronautical Society 1995 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Lanchester, F.W. Aerodynamics, Constable & Co, London, 1907.Google Scholar
2. Lanchester, F.W. Proc Inst Auto Eng, 1915, 9, pp 171–259.Google Scholar
3. Ackroyd, J.A.D. Lanchester — The Man (The 31st Lanchester Lecture), Aeronaut J, 1992, 96, (954), pp 119–140.Google Scholar
4. Chow, J.S., Zilliac, G.G. and Bradshaw, P. Turbulence measurements in the near-field of a wing-tip vortex, ASME Forum on Turbulence in Complex Flows, Chicago, 6–11 November 1994.Google Scholar
5. Lowson, M.V., Riley, A.J. and Swales, C. Flow structure over delta wings, AIAA Paper 95-0586, 33rd Aerospace Sciences Meeting, Reno, 9–12 January, 1995.Google Scholar
6. Lowson, M.V. and Riley, A.J. Vortex breakdown control by delta wing geometry, AIAA Paper 94-3487, AFM Conf, 1-3 August 1994.Google Scholar
7. Ligrani, P.M. and Mitchell, S.W. J Turbomachinery, 1994, 116, pp 709–720.Google Scholar
8. Escudier, M.P. Confined vortices in flow machinery, Annual Reviews in Fluid Mechanics, 1987, 19, pp 27–52.Google Scholar
9. Wagner, J.H., Johnson, B.V. and Kopper, F.C. J Turbomachinery, 1991, 113, pp 321–330.Google Scholar
10. Ter Linden, A.J. Proc IMechE, 1949, 160, pp 233–240.Google Scholar
11. Stairmand, C.J. Trans Inst Chem Engrs, 1951, 29, pp 256–383.Google Scholar
12. Fluent, Numerical prediction of flow in a cyclone separator, Application Sheet-SRN622.Google Scholar
13. Newman, B.G., Patel, R.P., Savage, S.B. and Tjio, H.K. Aeronaut Q, 1972, 23, p 287.Google Scholar
14. Launder, B.E. and Rodi, W. The turbulent wall jet — measurements and modelling, Annual Reviews in Fluid Mechanics, 1983, 15, pp 429–459.Google Scholar
15. Kebede, W. Numerical computations of the 3-dimensional wall jet, . MSc Dissertation, Faculty of Technology, Univ of Manchester, 1982.Google Scholar
16. Prandtl, L. Essentials of Fluid Mechanics, Hafner, New York, 1953, p 149.Google Scholar
17. Brundrett, E. and Baines, W.D. J Fluid Mech, 1964, 19, p 375.Google Scholar
18. Hinze, J.O. Appl Sci Res, 1973, 28, p 453.Google Scholar
19. Nikuradse, J. VDI Forschungsheft 281, Berlin, 1926.Google Scholar
20. Choi, Y-D, Iacovides, H. and Launder, B.E. ASME J Fluids Eng, 1989, 111, p 59.Google Scholar
21. Chang, S.M., Humphrey, J.A.C. and Modavi, A. Physico-Chemical Hydrodynamics, 1983, 4, p 243.Google Scholar
22. Iacovides, H., Launder, B.E. and Loizou, P.A. Int J Heat Fluid Flow, 1987, 8, pp 320–325.Google Scholar
23. Taylor, A.M.K.P., Whitelaw, J.H. and Yianneskis, M. ASME J Fluids Eng, 1982, 104, p 350.Google Scholar
24. Craft, T.J., Launder, B.E. and Suga, K. Extending the application of eddy viscosity models through the use of deformation invariants and non-linear elements. In Proc 5th Int Symp on Refined Flow Modelling and Turbulence Measurements, p 125, Presses Ponts et Chaussées, Paris, 1993.Google Scholar
25. Rotta, J.C. Z Phys, 1951, 129, p 547.Google Scholar
26. Daly, B.J. and Harlow, F.H. Phys Fluids, 1970, 13, p 2634.Google Scholar
27. Rodi, W. The Prediction of Free Turbulent Boundary Layers by use of a 2-Equation Model of Turbulence, PhD Thesis, Faculty of Engineering, University of London, 1972.Google Scholar
28. Launder, B.E., Reece, G.J. and Rodi, W. J Fluid Mech, 1975, 68, pp 537–566.Google Scholar
29. Fu, S., Launder, B.E. and Leschziner, M.A. Modelling strongly swirling recirculating jet flow with Reynolds stress closures, Proc 6th Symp Turbulent Shear Flows, Paper 17-6, Toulouse, 1987.Google Scholar
30. Sislian, J.P. and Cusworth, R.A. LDV measurements in a free isothermal swirling jet, Report 281, Univ Toronto Inst of Appl Science, 1984.Google Scholar
31. Younis, B.A. On Modelling the Effects of Streamline Curvature on Turbulent Shear Flows, PhD Thesis, Faculty of Engineering, Univ London, 1984.Google Scholar
32. Ahmed, S.A. and So, R.M.C. Expts in Fluids, 1986, 4, pp 107–113.Google Scholar
33. Hoggs, S. and Leschziner, M.A. AIAA J, 1989, 27, pp 57–63.Google Scholar
34. Jones, W.P. and Pascau, A. ASME J Fluids Eng, 1989, 111, pp 248–255.Google Scholar
35. Weber, R., Visser, B.M. and Boysan, F. Int J Heat & Fluid Flow, 1990, 11, pp 225–235.Google Scholar
36. Sotiropoulos, and Patel, V.C. Application of Reynolds-stress models to stern and wake flows, to appear in J Ship Research, 1995.Google Scholar
37. Launder, B.E. and Shima, N. AIAA J, 1989, 27, pp 1319–1325.Google Scholar
38. Lien, F.S. and Leschziner, M.A. Computational modelling of multiple vortical separation from streamlined body at high incidence, p 4.9, In Proc 10th Symp. Turbulent Shear Flows, Pennsylvania State University, August 1995.Google Scholar
39. Schumann, U. Phys Fluids, 1977, 20, p 721.Google Scholar
40. Lumley, J.L. Computational modelling of turbulent flows, Adv in Appl Mech, 18 Academic, New York, 1978.Google Scholar
41. Launder, B.E. Second-moment closure: methodology and practice in Turbulence Models and their Applications Vol 2, p 19, Editions Eyrolles, Paris, 1984.Google Scholar
42. Fu, S. Computational modelling of turbulent swirling flows with second-moment closures, PhD Thesis, Faculty of Technology, Univ Manchester, 1988.Google Scholar
43. Launder, B.E. and Li, S.P. Phys Fluids, 1994, 6, pp 999–1006.Google Scholar
44. Craft, T.J., Ince, N.Z. and Launder, B.E. Recent developments in second-moment closure for buoyancy-affected flows, Proc 4th Int Symp on Stratified Flows, 2, Grenoble, 1994.Google Scholar
45. Iacovides, H. and Launder, B.E. ASM predictions of turbulent momentum and heat transfer in coils and U-bends, Numerical methods in laminar and turbulent flow, (Taylor, C. et al (Eds)), 1985, 2, pp 1023–1045, Pineridge Press, Swansea.Google Scholar
46. Lai, Y.G., So, R.M.C. and Zhang, H.S. Theoret Comput Fluid Dynamics, 1991, 3, pp 163–180.Google Scholar
47. Li, H-Y The Computation of 3-D Turbulent Flows in Curved and Rotating Ducts, PhD Thesis, Faculty of Technology, University of Manchester, 1995.Google Scholar
48. Bradshaw, P. Effects of streamline curvature on turbulent flow, Agardograph 169, 1973.Google Scholar
49. Johnson, R.W. and Launder, B.E. Int J Heat Fluid Flow, 1985, 6, pp 171–180.Google Scholar
50. Davis, D.O. and Gessner, F. Experimental investigation of turbulent flow through a circular-to-rectangular transition duct, AIAA Paper 90-1050, 1990.Google Scholar
51. Craft, T.J. and Lien, F.S. Computation of flow through a circular- to-rectangular transition duct using advanced turbulence models, 4th ERCOFTAC/IAHR Workshop on Refined Flow Modelling, Univ Karlsruhe, 1995.Google Scholar
52. Craft, T.J. and Launder, B.E. Improvements in near-wall Reynolds stress modelling for complex flow geometries, p 20–25, In Proc 10th Symp Turbulent Shear Flows, Pennsylvania State Univ, August 1995.Google Scholar