Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-23T19:08:49.207Z Has data issue: false hasContentIssue false

Transition induced by streamwise arrays of roughness elements on a flat plate in Mach 3.5 flow

Published online by Cambridge University Press:  07 February 2020

Amanda Chou*
Affiliation:
Flow Physics and Control Branch, NASA Langley Research Center, Hampton, VA23681, USA
Michael A. Kegerise
Affiliation:
Flow Physics and Control Branch, NASA Langley Research Center, Hampton, VA23681, USA
Rudolph A. King
Affiliation:
Flow Physics and Control Branch, NASA Langley Research Center, Hampton, VA23681, USA
*
Email address for correspondence: [email protected]

Abstract

The flow behind streamwise arrays of roughness elements was examined with a hot-wire probe. The roughness elements had heights of approximately 20 % and 40 % of the boundary layer thickness, and different spacings and orientations of these roughness elements were tested. The circular roughness elements were spaced two diameters apart or four diameters apart from centre to centre. Transition moved upstream only when the roughness elements were spaced four diameters apart. The rectangular roughness elements were oriented so that they were at a $45^{\circ }$ angle relative to the leading edge of the plate. Tandem rectangular elements had either the same orientation or opposing orientations. Mean mass-flux and total-temperature profiles of the flow field downstream of the roughness elements were examined for mean-flow distortion. Mass-flux fluctuation profiles showed that a 45 kHz odd-mode disturbance was present downstream of the shorter circular roughness elements. The dominant instability downstream of the taller circular roughness elements was a 65–85 kHz even-mode disturbance. Mass-flux fluctuation profiles showed that the dominant mode downstream of the tandem rectangular roughness elements with the same orientation was similar to that of a single roughness element and centred at a frequency of approximately 55 kHz. The 55 kHz instability appeared to correspond to increased spanwise shear, and thus was determined to be an odd-like mode. The dominant instability downstream of the tandem roughness elements with opposing orientations was centred at a frequency of 65 kHz and did not transition in the measurement region.

Type
JFM Papers
Copyright
© NASA, 2020. Published by Cambridge University Press. This is a work of the US Government and is not subject to copyright protection within the United States

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

Balakumar, P. & Kegerise, M. A. 2016 Roughness-induced transition in a supersonic boundary layer. AIAA J. 54 (8), 23222337.CrossRefGoogle Scholar
Beckwith, I. E., Creel, T. R. Jr., Chen, F. J. & Kendall, J. M. 1983 Free-stream noise and transition measurements on a cone in a Mach 3.5 pilot low-disturbance tunnel. Technical Paper NASA-TP-2180. NASA Langley Research Center, Hampton, Virginia.CrossRefGoogle Scholar
Berry, S. A. & Horvath, T. J. 2008 Discrete-roughness transition for hypersonic flight vehicles. J. Spacecr. Rockets 45 (2), 216227.CrossRefGoogle Scholar
Carmichael, B. H.1958 Critical Reynolds numbers for multiple three dimensional roughness elements. Report number NAI-58-589 (BLC-112). Northrop Aircraft, Inc., Hawthorne, CA.Google Scholar
Casper, K. M., Wheaton, B. M., Johnson, H. B. & Schneider, S. P. 2011 Effect of freestream noise on roughness-induced transition for a slender cone. J. Spacecr. Rockets 48 (3), 406413.CrossRefGoogle Scholar
Choudhari, M., Li, F., Chang, C.-L., Norris, A. & Edwards, J.2013 Wake instabilities behind discrete roughness elements in high speed boundary layers. AIAA Paper 2013–0081.CrossRefGoogle Scholar
Choudhari, M., Li, F. & Paredes, P.2018 Effect of distributed patch of smooth roughness elements on transition in a high-speed boundary layer. AIAA Paper 2018–3532.CrossRefGoogle Scholar
Choudhari, M., Li, F., Wu, M., Chang, C.-L., Edwards, J., Kegerise, M. & King, R.2010 Laminar-turbulent transition behind discrete roughness elements in a high-speed boundary layer. AIAA Paper 2010–1575.CrossRefGoogle Scholar
Downs, R. S., White, E. B. & Denissen, N. A. 2008 Transient growth and transition induced by random distributed roughness. AIAA J. 46 (2), 451462.CrossRefGoogle Scholar
Drews, S. D., Downs, R. S. III, Doolittle, C. J., Goldstein, D. B. & White, E. B. 2011 Direct numerical simulations of flow past random distributed roughness. AIAA Paper 2011–564.CrossRefGoogle Scholar
Fransson, J. H. M., Brandt, L., Talamelli, A. & Cossu, C. 2004 Experimental and theoretical investigation of the nonmodal growth of steady streaks in a flat plate boundary layer. Phys. Fluids 16 (10), 36273638.CrossRefGoogle Scholar
Kegerise, M. A., King, R. A., Choudhari, M., Li, F. & Norris, A.2014 An experimental study of roughness-induced instabilities in a supersonic boundary layer. AIAA Paper 2014–2501.CrossRefGoogle Scholar
Kegerise, M. A., King, R. A., Owens, L. R., Choudhari, M., Norris, A., Li, F. & Chang, C.-L. 2012 An experimental and numerical study of roughness-induced instabilities in a Mach 3.5 boundary layer. In RTO-AVT-200/RSM-030, pp. 114. NATO RTO.Google Scholar
Kegerise, M. A., Owens, L. R. & King, R. A.2010 High-speed boundary-layer transition induced by an isolated roughness element. AIAA Paper 2010–4999.CrossRefGoogle Scholar
King, R. A., Kegerise, M. A. & Berry, S. A.2009 Version 2 of the protuberance correlations for the shuttle-orbiter boundary layer transition tool. Technical Paper NASA/TP-2009-215951. NASA Langley Research Center, Hampton, Virginia.Google Scholar
Kuester, M. S., White, E. B., Sharma, A., Goldstein, D. B. & Brown, G.2014 Distributed roughness shielding in a blasius boundary layer. AIAA Paper 2014–2888.CrossRefGoogle Scholar
Muppidi, S. & Mahesh, K. 2012 Direct numerical simulations of roughness-induced transition in supersonic boundary layers. J. Fluid Mech. 693, 2856.CrossRefGoogle Scholar
Reda, D. C. 2002 Review and synthesis of roughness-dominated transition correlations for reentry applications. J. Spacecr. Rockets 39 (2), 161167.CrossRefGoogle Scholar
Schneider, S. P. 2008 Effects of roughness on hypersonic boundary-layer transition. J. Spacecr. Rockets 45 (2), 193209.CrossRefGoogle Scholar
Sharma, A., Drews, S. D., Kuester, M., Goldstein, D. B. & White, E. B.2014 Evolution of disturbances due to discrete and distributed surface roughness in initially laminar boundary layers. AIAA Paper 2014–0235.CrossRefGoogle Scholar
Suryanarayanan, S., Goldstein, D. B., Brown, G. L., Berger, A. R. & White, E. B.2017 On the mechanics and control of boundary layer transition induced by discrete roughness elements. AIAA Paper 2017–0307.CrossRefGoogle Scholar
Wheaton, B. M. & Schneider, S. P. 2012 Roughness-induced instability in a hypersonic laminar boundary layer. AIAA J. 50 (6), 12451256.CrossRefGoogle Scholar
Wheaton, B. M. & Schneider, S. P. 2014 Hypersonic boundary-layer instabilities due to near-critical roughness. J. Spacecr. Rockets 51 (1), 327342.CrossRefGoogle Scholar