Abstract
Results of direct numerical simulations of the roughness-induced development of instability and transition to turbulence in a supersonic boundary layer on a blunted cone for the free-stream Mach number M∞ = 5.95 are presented. The flow parameters and model geometry are consistent with the conditions of the experiments performed in the study. The following roughness types are considered: random distributed roughness, isolated roughness elements of different shapes, and a group of regularly arranged roughness elements. The processes of the instability development and transition for different roughness types are compared, and possible mechanisms of the roughness influence on the stability of boundary layers on blunt bodies are discussed.
Similar content being viewed by others
References
S. P. Schneider, “Hypersonic Laminar-Turbulent Transition on Circular Cones and Scramjet Forebodies,” Progr. Aerospace Sci. 40 (1/2), 1–50 (2004).
K. Stetson, E. Thompson, J. Donaldson, and L. Siler, “Laminar Boundary Layer Stability Experiments on a Cone at Mach 8. Pt 2. Blunt Cone,” AIAA Paper No. 84-0006 (1984).
A. A. Maslov, A. N. Shiplyuk, D. A. Bountin, and A. A. Sidorenko, “Mach 6 Boundary-Layer Stability Experiments on Sharp and Blunted Cones,” J. Spacecraft Rockets 43 (1), 71–76 (2006).
E. A. Aleksandrova, A. V. Novikov, S. V. Utyuzhnikov, and A. V. Fedorov, “Experimental Study of the Laminar-Turbulent Transition on a Blunt Cone,” Prikl. Mekh. Tekh. Fiz. 55 (3), 5–16 (2014).[J. Appl. Mech. Tech. Phys. 55 (3), 375–385 (2014).
X. Li, D. Fu, and Y. Ma, “Direct Numerical Simulation of Hypersonic Boundary-Layer Transition over a Blunt Cone,” AIAA J. 46 (11), 2899–2913 (2008).
X. Li, D. Fu, and Y. Ma, “Direct Numerical Simulation of Hypersonic Boundary Layer Transition over a Blunt Cone with a Small Angle of Attack,” Phys. Fluids 22 (2), 025105 (2010).
K. Kara, P. Balakumar, and O. A. Kandil, “Effect of Nose Bluntness on Hypersonic Boundary-Layer Receptivity and Stability over Cones,” AIAA J. 49 (12), 2593–2606 (2011).
E. Reshotko and A. Tumin, “The Blunt Body Paradox—a Case for Transient Growth,” in Laminar-Turbulent Transition: Proc. of the IUTAM Symp., Sedona (USA), September 13–17, 1999 (Springer, Berlin-Heidelberg, 2000), pp. 403–408.
S. Hein, A. Theiss, A. di Giovanni, et al., “Numerical Investigation of Roughness Effects on Transition on Spherical Capsules,” AIAA Paper No. 2018-0058 (2018).
S. P. Schneider, “Effects of Roughness on Hypersonic Boundary-Layer Transition,” J. Spacecraft Rockets 45 (2), 193–209 (2008).
S. P. Schneider, “Summary of Hypersonic Boundary-Layer Transition Experiments on Blunt Bodies with Roughness,” J. Spacecraft Rockets 45 (6), 1090–1105 (2008).
B. M. Wheaton and S. P. Schneider, “Roughness-Induced Instability in a Hypersonic Laminar Boundary Layer,” AIAA J. 50 (6), 1245–1256 (2012).
F. Avalone, F. F. J. Schrijer, and G. Cardone, “Infrared Thermography of Transition due to Isolated Roughness Elements in Hypersonic Flows,” Phys. Fluids 28 (2), 024106 (2016).
M. Choudhari, A. Norris, F. Li, et al., “Wake Instabilities behind Discrete Roughness Elements in High Speed Boundary Layers,” AIAA Paper No. 2013-0081 (2013).
P. S. Iyer and K. Mahesh, “High-Speed Boundary-Layer Transition Induced by a Discrete Roughness Element,” J. Fluid Mech. 729, 524–562 (2013).
P. K. Subbareddy, M. D. Bartkowicz, and G. V. Candler, “Direct Numerical Simulation of High-Speed Transition Due to an Isolated Roughness Element,” J. Fluid Mech. 748, 848–878 (2014).
H. B. E. Kurz and M. J. Kloker, “Mechanisms of Flow Tripping by Discrete Roughness Elements in a Swept-Wing Boundary Layer,” J. Fluid Mech. 796, 158–194 (2016).
D. V. Khotyanovsky and A. N. Kudryavtsev, “Direct Numerical Simulation of the Transition to Turbulence in a Supersonic Boundary Layer on Smooth and Rough Surfaces,” Prikl. Mekh. Tekh. Fiz. 58 (5), 80–92 (2017).[J. Appl. Mech. Tech. Phys. 58(5), 826–836 (2017)..
A. di Giovanni and C. Stemmer, “Cross-Flow-Type Breakdown Induced by Distributed Roughness in the Boundary Layer of a Hypersonic Capsule Configuration,” J. Fluid Mech. 856, 470–503 (2018).
D. Bountin, Yu. Gromyko, P. Polivanov, et al., “Effect of Roughness of the Blunted Cone Nose-Tip on Laminar-Turbulent Transition,” AIP Conf. Proc. 1770, 030064 (2016).
D. A. Bountin, Yu. V. Gromyko, A. A. Maslov, et al., “Effect of the Surface Roughness on Blunt Cone Forebody on the Position of Laminar-Turbulent Transition,” Teplofiz. Aeromekh. 23 (5), 655–664 (2016).[Thermophys. Aeromech. 23 (5), 629–638 (2016)..
S. V. Kirilovskiy and T. V. Poplavskaya, “On the Influence of a Single Roughness Element on the Flow in Supersonic Boundary Layer on a Blunted Cone,” Teplofiz. Aeromekh. 23 (6), 971–974 (2016).[Thermophys. Aeromech. 23 (6), 933–936 (2016).
P. A. Polivanov, Yu. V. Gromyko, A. A. Sidorenko, and A. A. Maslov, “Turbulization of the Wake behind a Single Roughness Element on a Blunted Body at a Hypersonic Mach number,” Prikl. Mekh. Tekh. Fiz. 58 (5), 102–110 (2017).[J. Appl. Mech. Tech. Phys. 58 (5), 845–852 (2017).
Yu. Gromyko, D. Bountin, P. Polivanov, et al., “The Effect of Roughness of Blunted Nose of Cone on the Development of Disturbances and Laminar-Turbulent Transition in a Hypersonic Boundary Layer,” AIP Conf. Proc. 1893, 030148 (2017).
A. N. Kudryavtsev, T. V. Poplavskaya, and D. V. Khotyanovsky, “Application of High-Order Schemes for Modeling Unsteady Supersonic Flows,” Mat. Model. 19 (7), 39–55 (2007).
C. B. Laney, Computational Gasdynamics (Cambridge University Press, Cambridge, 1998).
P. Batten, N. Clarke, C. Lambert, and D. M. Causon, “On the Choice of Wavespeeds for the HLLC Riemann Solver,” SIAM J. Sci. Comput. 18 (6), 1553–1570 (1997).
S. P. Borisov, D. A. Bountin, Yu. V. Gromyko, et al., “Experimental and Numerical Investigation of Development of Disturbances in the Boundary Layer on Sharp and Blunted Cone,” AIP Conf. Proc. 1770, 030057 (2016).
M. Lesieur, O. Metais, and P. Comte, Large-Eddy Simulations of Turbulence (Cambridge University Press, Cambridge, 2005).
C.-L. Chang and M. M. Choudhari, “Hypersonic Viscous Flow over Large Roughness Elements,” Theor. Comput. Fluid Dynamics 25, 85–104 (2011).
P. M. Danehy, A. P. Garcia, S. Borg, et al., “Fluorescence Visualization of Hypersonic Flow past Triangular and Rectangular Boundary-Layer Trips,” AIAA Paper No. 2007-0536 (2007).
S. A. Craig and W. S. Saric, “Crossffow Instability in a Hypersonic Boundary Layer,” J. Fluid Mech. 808, 224–244 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © D.V. Khotyanovsky, S.V. Kirilovskiy, T.V. Poplavskaya, A.N. Kudryavtsev.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 3, pp. 45–59, May–June, 2019.
Rights and permissions
About this article
Cite this article
Khotyanovsky, D.V., Kirilovskiy, S.V., Poplavskaya, T.V. et al. Numerical Study of the Evolution of Disturbances Generated by Roughness Elements in a Supersonic Boundary Layer on a Blunted Cone. J Appl Mech Tech Phy 60, 438–450 (2019). https://doi.org/10.1134/S0021894419030052
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894419030052