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Numerical investigation of secondary flows in a constant-width wind-tunnel contraction

Published online by Cambridge University Press:  27 January 2016

M. Bouriga
Affiliation:
Laboratoire TFT, École de technologie supérieure, Montréal, Canada
R. Taher
Affiliation:
Laboratoire TFT, École de technologie supérieure, Montréal, Canada
F. Morency
Affiliation:
Laboratoire TFT, École de technologie supérieure, Montréal, Canada
J. Weiss*
Affiliation:
Laboratoire TFT, École de technologie supérieure, Montréal, Canada

Abstract

The flow inside a constant-width wind-tunnel contraction is simulated by solving the Reynolds-Averaged Navier-Stokes equations with an eddy-viscosity turbulence model. The results show the presence of longitudinal vortices near the sidewalls centreline. This confirms a former hypothesis involving the generation of skew-induced longitudinal vorticity within the sidewalls boundary layers. Detailed analysis reveals that the flow structure is influenced by viscous effects in the boundary layers and streamline curvature in the potential flow. Three-dimensional boundary-layer profiles on the contraction sidewall are analysed in the framework of the streamline co-ordinate system and its associated hodographic diagram. The resulting profiles help understand the generation of secondary flows and the associated longitudinal vorticity.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2015

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References

1.Ahmed, F. and Rajaratnam, N.Three-dimensional turbulent boundary layers: A review, J Hydraulic Research, 35, (1), pp 8198, 1997.CrossRefGoogle Scholar
2.Bansod, P. and Bradshaw, P.The flow in S-shaped ducts, Aeronaut Q, 1972, 23, pp 131140.CrossRefGoogle Scholar
3.Batchelor, G.K.The theory of Homogeneous Turbulence, Cambridge University Press, 1953.Google Scholar
4.Bell, J.H. and Mehta, R.D.Boundary-layer predictions for small low-speed contractions, AIAA J, 1989, 27, (3), pp 372374.CrossRefGoogle Scholar
5.Bouriga, M.CFD investigation of Secondary Flow Effects in the Contraction of the TFT Boundary Layer Wind Tunnel, Master’s thesis, University of Stuttgart, Germany, 2013.Google Scholar
6.Bouriga, M., Lemyre-Baron, J.-S., Morency, F. and Weiss, J.Preliminary experimental and numerical investigations of the flow in the contraction of a boundary-layer wind tunnel, Transactions of the Canadian Society for Mechanical Engineering, 2014, 38, (4), pp 517532.CrossRefGoogle Scholar
7.Bradshaw, P. and Pontikos, N.S.Measurements in the turbulent boundary layer on an ‘infinite’ swept wing, J Fluid Mechanics, 1985, 159, pp 105130.CrossRefGoogle Scholar
8.Bradshaw, P.Turbulent secondary flows, Annual Review of Fluid Mechanics, 1987, 19, (1), pp 5374.CrossRefGoogle Scholar
9.Bradshaw, P. and Hellens, G.E. The N.P.L. 59 In. 9 In. Boundary-Layer Tunnel, Reports and Memoranda/Aeronautical Research Council. Her Majesty’s Stationery Office, 1966.Google Scholar
10.Bradshaw, P. and Pankhurst, R.C.The design of low-speed wind tunnels, Progress in Aerospace Sciences, 1964, 5, pp 169.CrossRefGoogle Scholar
11.Calautit, J.K., Chaudhry, H.N., Hughes, B.R. and Sim, L.F.A validated design methodology for a closed-loop subsonic wind tunnel, J Wind Engineering and Industrial Aerodynamics, 2014, 125, pp 180194.CrossRefGoogle Scholar
12.Cebeci, T. and Bradshaw, P.Momentum Transfer In Boundary Layers, McGraw-Hill, 1977.Google Scholar
13.Celik, I.B., Ghia, U., Roache, P.J. and Freitas, C.J.Procedure for estimation and reporting of uncertainty due to discretization in CFD applications, J Fluids Eng – Transactions of the ASME, 2008, 130, (7).Google Scholar
14.Copland, J. ERCOFTAC Special Interest Group on Laminar to Turbulent Transition and Retransition: T3A and T3B Test Cases. 1990.Google Scholar
15.Dryden, H.L., Schubauer, G.B., Mock, W.C. and Skramstad, H.K. Measurements of intensity and scale of wind-tunnel turbulence and their relation to the critical Reynolds number of spheres. NACA Technical Report 581, 1937.Google Scholar
16.Menter, F.R.Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J, 1994, 32, (8), pp 15981605.CrossRefGoogle Scholar
17.Greitzer, E.M., Tan, C.S. and Graf, M.B.Internal Flow: Concepts and Applications, Cambridge University Press, UK, 2004.CrossRefGoogle Scholar
18.Jasak, H.Error Analysis and Estimation for the Finite Volume Method with Applications to Fluid Flows. PhD thesis, Department of Mechanical Engineering, Imperial College, London, UK, 1996.Google Scholar
19.Johnston, JP.On the three-dimensional turbulent boundary layer generated by secondary flow, J Basic Engineering, 1960, 82, (1), pp 233246.CrossRefGoogle Scholar
20.Mehta, R.D. and Bradshaw, P.Design rules for small low speed wind tunnels, Aeronaut J, 1979, 83, (827), pp 443449.CrossRefGoogle Scholar
21.Mehta, R.D.Turbulent boundary layer perturbed by a screen, AIAA J, 1985, 23, (9), pp 13351342.CrossRefGoogle Scholar
22.Metha, R.D. and Bradshaw, P.Longitudinal vortices imbedded in turbulent boundary layers. Part 2: Vortex pair with ‘common flow’ upwards, J Fluid Mechanics, 1988, 188, pp 529546.Google Scholar
23.Mohammed-Taifour, A., Schwaab, Q., Pioton, J. and Weiss, J.A new wind tunnel for the study of pressure-induced separating and reattaching flows, Aeronaut J, 2015, 119, (1211), pp 91108.CrossRefGoogle Scholar
24.Moonen, P., Blocken, B., Roels, S. and Carmeliet, J.. Numerical modelling of the flow conditions in a closed-circuit low-speed wind tunnel, J Wind Engineering and Industrial Aerodynamics, 2006, 94, (10), pp 699723.CrossRefGoogle Scholar
25.Morel, T.Comprehensive Design of Axisymmetric Wind Tunnel Contractions, J Fluids Eng, 1975, 97, (2), pp 225233.CrossRefGoogle Scholar
26.Morel, T.Design of two-dimensional wind tunnel contractions, J Fluids Eng, 1977, 99, (2), pp 371377.CrossRefGoogle Scholar
27.Muslin, B., Bouriga, M., Morency, F. and Weiss, J.Numerical Investigations of the Flow inside a Wind-Tunnel Test Section. Proceedings of the 22nd Conference of the CFD Society of Canada, Toronto, Ontario, Canada, 2014.Google Scholar
28Patankar, S.V and Spalding, D.B.A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, Int J Heat and Mass Transfer, 1972, 15, (10), pp 17871806.CrossRefGoogle Scholar
29Mokhtari, S. and Bradshaw, P.Longitudinal vortices in wind tunnel wall boundary layers, Aeronaut J, 1983, 87, pp 233236.CrossRefGoogle Scholar
30.Tavoularis, S.Measurements in Fluid Mechanics, Cambridge University Press, UK, 2005.Google Scholar
31.Weller, H.G., Tabor, G., Jasak, H. and Fureby, C.A tensorial approach to computational continuum mechanics using object-oriented techniques, Computers in Physics, 1998, 12, (6), pp 620631.CrossRefGoogle Scholar
32.Wilcox, D.C.Turbulence modelling for CFD, DCW industries, La Cañada, Canada, 2006.Google Scholar