Numerical investigation is made on the effect of streaky structures in transition by inviscid linear disturbance equation with temporal mode. Several disturbances with different streamwise wave numbers were induced, and the evolutions with time step were received. It suggests that the exponential growth and periodic variation of the waves are in existence. As the streamwise wave number increases, the disturbance growth rate begins by increasing, reaches a maximum at around α =0.4 with a disturbance frequency of 0.2186+0.001457i, and then decreases. Furthermore, the eigenfunctions of pressure disturbance are plotted.
Numerical investigation is made on the effect of streaky structures in transition by inviscid linear disturbance equation with temporal mode. Several disturbances with different streamwise wave numbers were induced, and the evolutions with time step were received. It suggests that the exponential growth and periodic variation of the waves are in existence. As the streamwise wave number increases, the disturbance growth rate begins by increasing, reaches a maximum at around α =0.4 with a disturbance frequency of 0.2186+0.001457i, and then decreases. Furthermore, the eigenfunctions of pressure disturbance are plotted.
LIU Jian-Xin;LUO Ji-Sheng. Numerical Investigation on Inviscid Instability of Streaky Structures in Incompressible Boundary Layer Flow[J]. 中国物理快报, 2010, 27(8): 84701-084701.
LIU Jian-Xin, LUO Ji-Sheng. Numerical Investigation on Inviscid Instability of Streaky Structures in Incompressible Boundary Layer Flow. Chin. Phys. Lett., 2010, 27(8): 84701-084701.
[1] Bradshaw P 1965 J.Fluid. Mech. 22 679 [2] Bakchinov A A et al 1995 Phys. Fluids 7 820 [3] Anderson P et al 2001 J. Fluid. Mech. 428 29 [4] Anderson P, Berggren M and Henningson D S 1999 Phys. Fluids 11 134 [5] Lundbladh A et al 1999 TRITA-MEK Technical Report 1999:11 [6] Matsubara M and Alfredsson P H 2001 J. Fluid. Mech. 430 149 [7] Crow S C 1966 J. Fluid. Mech. 24 153 [8] Waleffe F 1997 Phys. Fluids 9 883 [9] Waleffe F 1995 Stud. Appl. Math. 95 319 [10] Reddy S C, Schmid P J, Baggett J S et al 1998 J. Fluid. Mech. 365 269 [11] Bottaro A and Klingmann B G B 1996 Eur. J. Mech. B: Fluids 15 301 [12] Wu X and Luo J 2003 J. Fluid Mech. 483 225
2010, Vol. 27 
