On the linear stability of swept attachment-line boundary layer flow. Part 1. Spectrum and asymptotic behaviour

作者: DOMINIK OBRIST , PETER J. SCHMID

DOI: 10.1017/S0022112003005779

关键词:

摘要: The temporal stability of swept attachment-line boundary layer flow based on a Hiemenz model is studied. Starting from the global problem and motivated by analytical free-stream solutions, Hermite expansion employed in chordwise coordinate direction which results coupled local problems. A complete study spectrum presented discrete continuous modes are classified according to their symmetry, polynomial order asymptotic decay. Uniform, Gortler-Hammerlin higher-order described detail. Estimates given for location spectrum, bounds derived validity linear approximation

参考文章(36)
Fabio P. Bertolotti, On the connection between cross-flow vortices and attachment-line instabilities Springer, Berlin, Heidelberg. pp. 625- 630 ,(2000) , 10.1007/978-3-662-03997-7_97
Distortion of the Stagnation-Point Flow Due to Cross-Stream Vorticity in the External Flow Philosophical Transactions of the Royal Society A. ,vol. 352, pp. 443- 452 ,(1995) , 10.1098/RSTA.1995.0081
VASSILIOS THEOFILIS, On linear and nonlinear instability of the incompressible swept attachment-line boundary layer Journal of Fluid Mechanics. ,vol. 355, pp. 193- 227 ,(1998) , 10.1017/S0022112097007660
DOMINIK OBRIST, PETER J. SCHMID, On the linear stability of swept attachment-line boundary layer flow. Part 2. Non-modal effects and receptivity Journal of Fluid Mechanics. ,vol. 493, pp. 31- 58 ,(2003) , 10.1017/S0022112003005780
Chester E. Grosch, Harold Salwen, The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions Journal of Fluid Mechanics. ,vol. 87, pp. 33- 54 ,(1978) , 10.1017/S0022112078002918
L. Rosenhead, Lawrence Talbot, Laminar boundary layers ,(1963)