Abstract
A direct numerical simulation (DNS) was carried out for which random pressure fluctuations were forced at the inflow of the computational domain to initiate the laminar-turbulent transition process. The random forcing generated a broad spectrum of disturbances with respect to both frequency and azimuthal wavenumbers without any bias towards any of the known relevant nonlinear mechanisms (fundamental, subharmonic, oblique). The DNS results showed clear evidence that fundamental resonance is the dominant nonlinear mechanism. The time-averaged Stanton number contours indicated the formation of a pattern of streamwise “hot” streaks on the surface of the cone. Such hot streak patterns have previously been observed in experiments in the BAM6QT and in “controlled” breakdown DNS for flared and straight cones.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Schneider, S.: Prog. Aerosp. Sci. 72, 17 (2015)
Schubauer, G., Skramstad, H.: NASA Report No. 909 (1948)
Fasel, H.: J. Fluid Mech. 78, 355 (1976)
Rist, U., Fasel, H.: J. Fluid Mech. 298, 211 (1995)
Fasel, H.F., Thumm, A., Bestek, H.: Fluids Engineering Conference. ASME (1993)
Hader, C., Fasel, H.: J. Fluid Mech. 847 (2018)
Chynoweth, B.: Measurements of transition dominated by the second-mode instability at Mach 6. Ph.D. thesis, Purdue University (2018)
Hader, C., Fasel, H.F.: J. Fluid Mech. 869, 341 (2019)
Laible, A.C.: Numerical investigation of boundary layer transition for cones at Mach 3.5 and 6.0. Ph.D. thesis, The University of Arizona (2011)
Acknowledgements
This work was supported by AFOSR Grant FA9550-15-1-0265, with Dr. Ivett Leyva serving as the program manager. Computer time was provided by the DoD HPCMP. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the AFOSR or the U. S. Government. The authors would like to thank Steve Schneider and Brandon Chynoweth for fruitful discussions and for making all the experimental data and PSD post processing scripts readily available.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Hader, C., Fasel, H.F. (2022). Direct Numerical Simulations (DNS) of Natural Transition in High-Speed Boundary Layers Using a Broadband Random Forcing Approach. In: Sherwin, S., Schmid, P., Wu, X. (eds) IUTAM Laminar-Turbulent Transition. IUTAM Bookseries, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-030-67902-6_49
Download citation
DOI: https://doi.org/10.1007/978-3-030-67902-6_49
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-67901-9
Online ISBN: 978-3-030-67902-6
eBook Packages: EngineeringEngineering (R0)