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Streamwise evolution of longitudinal vortices in a turbulent boundary layer

Published online by Cambridge University Press:  06 March 2009

OLA LÖGDBERG
Affiliation:
Linné Flow Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden Scania CV, SE-151 87 Södertälje, Sweden
JENS H. M. FRANSSON*
Affiliation:
Linné Flow Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden
P. HENRIK ALFREDSSON
Affiliation:
Linné Flow Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden
*
Email address for correspondence: jensf@mech.kth.se

Abstract

In this experimental study both smoke visualization and three-component hot-wire measurements have been performed in order to characterize the streamwise evolution of longitudinal counter-rotating vortices in a turbulent boundary layer. The vortices were generated by means of vortex generators (VGs) in different configurations. Both single pairs and arrays in a natural setting as well as in yaw have been considered. Moreover three different vortex blade heights h, with the spacing d and the distance to the neighbouring vortex pair D for the array configuration, were studied keeping the same d/h and D/h ratios. It is shown that the vortex core paths scale with h in the streamwise direction and with D and h in the spanwise and wall-normal directions, respectively. A new peculiar ‘hooklike’ vortex core motion, seen in the cross-flow plane, has been identified in the far region, starting around 200h and 50h for the pair and the array configuration, respectively. This behaviour is explained in the paper. Furthermore the experimental data indicate that the vortex paths asymptote to a prescribed location in the cross-flow plane, which first was stated as a hypothesis and later verified. This observation goes against previously reported numerical results based on inviscid theory. An account for the important viscous effects is taken in a pseudo-viscous vortex model which is able to capture the streamwise core evolution throughout the measurement region down to 450h. Finally, the effect of yawing is reported, and it is shown that spanwise-averaged quantities such as the shape factor and the circulation are hardly perceptible. However, the evolution of the vortex cores are different both between the pair and the array configuration and in the natural setting versus the case with yaw. From a general point of view the present paper reports on fundamental results concerning the vortex evolution in a fully developed turbulent boundary layer.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Angele, K. P. & Muhammad-Klingmann, B. 2005 The effect of streamwise vortices on the turbulence structure of a separating boundary layer. Eur. J. Mech. B 24, 539554.CrossRefGoogle Scholar
Blackwelder, R. F. & Eckelmann, H. 1979 Streamwise vortices associated with the bursting phenomenon. J. Fluid Mech. 94, 577594.CrossRefGoogle Scholar
Cutler, A. D. & Bradshaw, P. 1991 A crossed hot-wire technique for complex turbulent flows. Exp. Fluids 12, 1722.CrossRefGoogle Scholar
Fransson, J. H. M., Brandt, L., Talamelli, A. & Cossu, C. 2005 Experimental study of the stabilization of Tollmien–Schlichting waves by finite amplitude streaks. Phys. Fluids 17, 054110.CrossRefGoogle Scholar
Fransson, J. H. M., Talamelli, A., Brandt, L. & Cossu, C. 2006 Delaying transition to turbulence by a passive mechanism. Phys. Rev. Lett. 96, 064501.CrossRefGoogle ScholarPubMed
Godard, G. & Stanislas, M. 2006 Control of a decelerating boundary layer. Part 1: Optimization of passive vortex generators. Aero. Sci. Technol. 10, 181191.CrossRefGoogle Scholar
Hunt, J. C. R., Wray, A. A. & Moin, P. 1988 Eddies, streams, and convergence zones in turbulent flows. In Studying Turbulence using Numerical Simulation Databases-II (eds Moin, P., Reynolds, W. C. & Kim, J.). Proc. 1988 Summer Program, Center for Turbulence Research Report CTR-S88, p. 193.Google Scholar
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 6994.CrossRefGoogle Scholar
Johansson, A. V. & Alfredsson, P. H. 1982 On the structure of turbulent channel flow. J. Fluid Mech. 122, 295314.CrossRefGoogle Scholar
Jones, J. P. 1957 The calculation of the paths of vortices from a system of vortex generators, and a comparison with experiment. Tech Rep. C. P. No. 361. Aeronautical Research Council.Google Scholar
Lin, J. C. 2002 Review of research on low-profile vortex generators to control boundary-layer separation. Prog. Aero. Sci. 38, 389420.CrossRefGoogle Scholar
Lindgren, B. & Johansson, A. V. 2002 Evaluation of the flow quality in the MTL wind-tunnel. Tech Rep. 2002:13. Department of Mechanics, KTH, Stockholm.Google Scholar
Lögdberg, O. 2006 Vortex generators and turbulent boundary layer separation control. Licentiate thesis, Department of Mechanics, KTH, Stockholm.Google Scholar
Mehta, R. D. & Bradshaw, P. 1988 Longitudinal vortices imbedded in turbulent boundary layers. Part 2. Vortex pair with ‘common flow’ upwards. J. Fluid Mech. 188, 529546.CrossRefGoogle Scholar
Österlund, J. M. 1999 Experimental studies of a zero pressure-gradient turbulent boundary layer flow. PhD thesis, Department of Mechanics, KTH, Stockholm.Google Scholar
Österlund, J. M., Johansson, A. V., Nagib, H. M. & Hites, M. H. 2000 A note on the overlap region in turbulent boundary layers. Phys. Fluids 12, 14.CrossRefGoogle Scholar
Pauley Wayne, R. & Eaton, John K. 1988 Experimental study of the development of longitudinal vortex pairs embedded in a turbulent boundary layer. AIAA J. 26, 816823.CrossRefGoogle Scholar
Pearcy, H. H. 1961 Boundary Layer and Flow Control: Its Principle and Applications, vol. 2. Pergamon.Google Scholar
Schubauer, G. B. & Spangenberg, W. G. 1960 Forced mixing in boundary layers. J. Fluid Mech. 8, 1032.CrossRefGoogle Scholar
Shabaka, I. M. M. A., Mehta, R. D. & Bradshaw, P. 1985 Longitudinal vortices imbedded in turbulent boundary layers. Part 1. Single vortex. J. Fluid Mech. 155, 3757.CrossRefGoogle Scholar
Swearingen, J. D. & Blackwelder, R. F. 1987 The growth and breakdown of streamwise vortices in the presence of a wall. J. Fluid Mech. 182, 255290.CrossRefGoogle Scholar
Taylor, H. D. 1947 The elimination of diffuser separation by vortex generators. Tech Rep. R-4012-3. United Aircraft Corporation.Google Scholar
Tsuji, Y., Fransson, J. H. M., Alfredsson, P. H. & Johansson, A. V. 2007 Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers. J. Fluid Mech. 585, 140.CrossRefGoogle Scholar
Watmuff, J. H., Witt, H. T. & Joubert, P. N. 1985 Developing turbulent boundary layers with system rotation. J. Fluid Mech. 157, 405448.CrossRefGoogle Scholar
Wendt Bruce, J. 2001 Initial circulation and peak vorticity behavior of vortices shed from airfoil vortex generators. Tech Rep. NASA/CR 2001-211144. NASA.Google Scholar
Wendt, B. J., Reichert, B. A. & Jeffry, D. F. 1995 The decay of longitudinal vortices shed from airfoil vortex generators. Tech Rep. 198356 AIAA-95-1797. NASA.Google Scholar
Westphal, R. V., Eaton, J. K. & Pauley, W. R. 1987 Interaction between a vortex and a turbulent boundary layer in a streamwise pressure gradient. In Turbulent Shear Flows 5 (ed. Durst, F., Launder, B. E., Lumley, J. L., Schmidt, F. W. & Whitelaw, J. M.), pp. 266277. Springer.CrossRefGoogle Scholar
Westphal, R. V. & Mehta, R. D. 1989 Interaction of an oscillating vortex with a turbulent boundary layer. Exp. Fluids 7, 405411.CrossRefGoogle Scholar
Westphal, R. V., Pauley, W. R. & Eaton, J. K. 1987 Interaction between a vortex and a turbulent boundary layer. Part 1: Mean flow evolution and turbulence properties. Tech Rep. TM 88361. NASA.CrossRefGoogle Scholar
Yao, C.-S, Lin, J. C. & Allan, B. G. 2002 Flow-field measurement of device-induced embedded streamwise vortex on a flat plate, AIAA Paper 2002-3162.Google Scholar