Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-10T14:12:33.091Z Has data issue: false hasContentIssue false

A computational study of laminar-flow secondary separation on a slender delta wing

Published online by Cambridge University Press:  12 September 2018

I. P. Jones*
Affiliation:
Formerly ANSYS UK, WantageOxfordshire, UK
N. Riley
Affiliation:
School of Mathematics, University of East Anglia Norwich Research Park Norwich, UK

Abstract

The laminar flow over a slender delta wing at incidence has been extensively studied both experimentally and theoretically using vortex sheet methods. These vortex sheet methods have generally been successful apart from the prediction of the secondary boundary-layer separation induced by the primary vortex. This paper revisits the problem using computational fluid dynamics (CFD) and focusses on the effects of the secondary flow separation. The modelling approach is briefly summarised, and the results are compared with flow measurements and results from vortex sheet methods. The computations show very good agreement with measurements for the surface pressures and total head contours. The results help to understand the complex structure of the leading edge vortex flow, and the associated secondary separation of the boundary layer. They indicate that inviscid mechanisms dominate the larger scale features, and highlight a possible mechanism for the development of an instability in the leading edge vortex sheet.

Type
Research Article
Copyright
© Royal Aeronautical Society 2018 

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. Tu, E.L. Numerical study of steady and unsteady Canard-Wing-Body Aerodynamics, NASA Technical Memorandum 110394 August 1996.Google Scholar
2. Yoon, H.S., Sharp, K.V., Hill, D.F., Adrian, R.J., Balachandar, S., Ha, M.Y. and Kard, K. Integrated experimental and computational approach to simulation of flow in a stirred tank, Chemical Engineering Science, 2001, 56, pp 6635–6649.Google Scholar
3. Montlaur, A., Cochard, S. and Fletcher, D.F. Formation of tip-vortices on triangular prismatic-shaped cliffs, J of Wind Engineering & Industrial Aero, 2012, 109, pp 21–30.Google Scholar
4. Banks, D. and Meroney, R.N. A model of roof-top surface pressures produced by conical vortices: model development, Wind and Structures, 2001, 4, pp 227–246.Google Scholar
5. Smith, J.H.B. Improved calculations of leading-edge separation from slender delta wings, RAE Technical Report 66070, Proc Roy Soc A, 1968, 306.Google Scholar
6. Smith, J.H.B. Vortex flows in aerodynamics, Annual Review of Fluid Mechanics, 1982, 18, pp 221–242.Google Scholar
7. Barsby, J.E. Separated flow past a slender delta wing at incidence, Aero Quart, 1973, 24, pp 120–128.Google Scholar
8. Jones, I.P. Flow separation from yawed delta wings, Computers and Fluids, 1975, 3, pp 155–177.Google Scholar
9. Nutter, J. Leading-edge separation from a thick, conical, slender wing at small angles of incidence, J of Engineering Mathematics, 1981, 15, pp 103–117.Google Scholar
10. Kirkkopru, K. and Riley, N. Secondary separation from a slender wing, J of Engineering Mathematics, 1991, 25, pp 329–352.Google Scholar
11. Drikakis, D., Kwak, D. and Kiris, C.C. Computational aerodynamics: advances and challenges, The Aeronautical J, 2016, 120, pp 13–36, doi:10.1017/aer.2015.Google Scholar
12. Spalart, P. and Venkatakrishnan, V. On the role and challenges of CFD in the aerospace industry, Aeronaut J, 2016, 120, pp 209–232. doi:10.1017/aer.2015.10.Google Scholar
13. Jones, I.P. and Riley, N. Supplementary Information: a computational study of laminar-flow secondary separation on a slender delta wing, The Aerospace J , 2018, doi:10.1017/aer.2018.92.Google Scholar
14. ANSYS CFX 18.0 manual. 2018, ANSYS, Inc.Google Scholar
15. Raw, M.J. Robustness of coupled algebraic multigrid for the Navier-Stokes equations, AIAA Paper 96-0297, 1996.Google Scholar
16. Rhie, C.M. and Chow, W.L. Numerical study of the turbulent flow past an air foil with trailing edge separation, AIAA J, 1983, 21, pp 1525–1532.Google Scholar
17. ERCOFTAC Best practice guidelines, industrial computational fluid dynamics of single-phase flows, http://www.ercoftac.org/publications/ercoftac_best_practice_guidelines/single-phase_flows_spf/.Google Scholar
18. Fink, P.T. and Taylor, J. Some early experiments on vortex separation, Part II. - Some low speed experiments with 20 deg. delta wings, ARC R&M 3489, 1955, HMSO. Available from http://naca.central.cranfield.ac.uk/reports/arc/rm/3489.pdf, accessed 16 March 2017.Google Scholar
19. Marsden, D.J., Simpson, R.W. and Rainbird, W.J. The flow over delta wings at low speeds with leading edge separation, Cranfield College of Aeronautics Report 114, 1957. Available from http://dspace.lib.cranfield.ac.uk/handle/1826/4081 accessed 16 March 2017.Google Scholar
20. Lowson, M.V. Visualization measurements of vortex flows. AIAA-89-0191, 27th Aerospace Sciences Meeting, Reno, Nevada, US, 1989.Google Scholar
21. Hunt, J.C.R. Vorticity and vortex dynamics in complex turbulent flows. Proc. CANCAM, Trans. Can. Soc. Mech. Engrs, 1987, 11, pp 21–35.Google Scholar
22. Hunt, J.C.R., Wray, A.A. and Moin, P. Eddies, streams, and convergence zones in turbulent flows. Proc. 1988 Summer Program of the Center for Turbulent Research. 193-207. https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19890015184.pdf. Retrieved 14 March 2017.Google Scholar
23. Kraborty, P., Balachandar, S. and Adrian, R.J. On the relationships between local vortex identification schemes, J of Fluid Mechanics, 2005, 535, pp 189–214.Google Scholar
24. Liu, T., Makhmalbaf, M.H.M., Vewen Ramasamy, R.S., Kode, S. and Merati, P. Skin friction fields and surface dye patterns on delta wings in water flows, J Fluids Engineering, 2015 137, doi:10.1115/1.4030041.Google Scholar
25. Woodinga, S.A. and Liu, T., Skin friction fields on delta wings, Experiments in Fluids, 2019, 47, pp 897–911. doi:10.1007/s00348-009-0686-6.Google Scholar
Supplementary material: PDF

Jones and Riley supplementary material

Jones and Riley supplementary material 1

Download Jones and Riley supplementary material(PDF)
PDF 4.6 MB