Abstract
The linear instability induced by an isolated roughness element in a boundary-layer at Mach 6 has been analysed through spatial BiGlobal and three-dimensional parabolised (PSE-3D) stability analyses. It is important to understand transition in this flow regime since the process can be slower than in incompressible flow and is critical to prediction of local heat loads on next-generation flight vehicles. The results show that the roughness element, with a height of the order of the boundary-layer displacement thickness, generates an convectively unstable wake where different instability modes develop. Furthermore, at this high Mach number, boundary-layer modes develop at high frequencies and are also covered here. Important discrepancies are observed between BiGlobal and PSE-3D predictions, mainly for the roughness-induced wake modes. Results are in qualitative agreement with a full Navier-Stokes receptivity study of the same flow.
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References
Reda DC (2002) Review and synthesis of roughness-dominated transition correlations for reentry vehicles. J Spacecraft Rockets 39(2):161–167
Rizzetta DP, Visbal MR (2007) Direct numerical simulations of flow past an array of distributed roughness elements. AIAA J 45(8):1967–1976
Redford JA, Sandham ND, Roberts GT (2010) Compressibility effects on boundary-layer transition induced by an isolated roughness element. AIAA J 48(12):2818–2830
Bernardini M, Pirozzoli S, Orlandi P (2012) Compressibility effects on roughness-induced boundary layer transition. Int J Heat Fluid Fl 35:45–51
Wheaton BM, Schneider SP (2012) Roughness-induced instability in a hypersonic laminar boundary layer. AIAA J 5(6):1245–1256
De Tullio N, Sandham ND (2012) Direct numerical simulations of roughness receptivity and transitional shock-wave/boundary-layer interactions. RTO-MP-AVT-200. Art. 22, NATO
Choudhari M, Li F, Chang CL, Norris A, Edwards J (2013) Wake instabilities behind discrete roughness elements in high speed boundary layers. AIAA 2013–0081
Herbert T (1997) Parabolized Stability Equations. Ann Rev Fluid Mech 29:245–283
De Tullio N, Paredes P, Sandham N, Theofilis V (2013) Roughness-induced instability and breakdown to turbulence in a supersonic boundary-layer. J Fluid Mech 735:613–646
Paredes P, Hermanns M, Le Clainche S, Theofilis V (2013) Order \(10^4\) speedup in global linear instability analysis using matrix formation. Comput Meth Appl M 253:287–304
Theofilis V (2011) Global linear instability. Annu Rev Fluid Mech 43:319–352
Acknowledgments
PP and VT would like to acknowledge the financial support of the Marie Curie Grant PIRSES-GA-2009-247651 “FP7-PEOPLE-IRSES: ICOMASEF - Instability and Control of Massively Separated Flows”. The work of NDT and NDS was supported by the EU through the FP-7 LAPCAT II Project and the computational time on the Hector supercomputer provided by the UK Turbulence Consortium (EPSRC Grant EP/G069581/1).
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Paredes, P., De Tullio, N., Sandham, N.D., Theofilis, V. (2015). Instability Study of the Wake Behind a Discrete Roughness Element in a Hypersonic Boundary-Layer. In: Theofilis, V., Soria, J. (eds) Instability and Control of Massively Separated Flows. Fluid Mechanics and Its Applications, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-06260-0_13
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DOI: https://doi.org/10.1007/978-3-319-06260-0_13
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