The effects of the surface undulation on the development of boundary layer instabilities are studied in the supersonic boundary layer. The direct numerical simulations are performed for the boundary layer on a flat plate at flow Mach number M = 6. The surface undulation is considered as the means of passive flow control of the laminar-turbulent transition. It has been found that a wavy portion of the surface located at some distance from the leading edge can significantly reduce the amplitude of fluctuations downstream. The effect of suppressing disturbances significantly increases with increasing both the number of waves on the surface (i.e., the length of the wavy portion), and their depth.
REFERENCES
1.
2.
L.M.
Mack
, Boundary Layer Stability Theory
(JPL Doc. 900-277-REV-A (NASA CR-131501), 1969
).3.
S.A.
Gaponov
and A.A.
Maslov
, Development of disturbances in compressible flows
(Novosibirsk
, Nauka
, 1980
).4.
A.
Demetriades
, AIAA Paper No. 1974–535
, (1974
).5.
J.M.
Kendall
, AIAA J.
13
, 290
–299
(1975
).6.
K.F.
Stetson
, E.R.
Thompson
, J.C.
Donaldson
, and L.G.
Siler
. AIAA Paper No. 83-1761
, (1983
).7.
Wendt
, M. Simen
, and A.
Hanifi
, Phys. Fluids
7
, 877
–887
(1995
).8.
A.A.
Maslov
, A.A.
Sidorenko
, and A. N.
Shiplyuk
, J. Applied Mech. Tech. Phys.
38
, 64
–68
(1997
).9.
S.A.
Gaponov
, J. Applied Mech. Tech. Phys.
16
, 95
–98
(1975
).10.
S.A.
Gaponov
, Fluid Dynamics
12
, 33
–38
(1977
).11.
A.V.
Fedorov
, N.D.
Malmuth
, A.
Rasheed
, and H.G.
Hornung
, AIAA J.
39
, 605
–610
(2001
).12.
A.
Rasheed
, H.G.
Hornung
, A. V.
Fedorov
, and N. D.
Malmuth
, AIAA J.
40
, 481
–489
(2002
).13.
A.
Fedorov
, A.
Shiplyuk
, A.
Maslov
, E.
Burov
, and N.
Malmuth
. J. Fluid Mech.
479
, 99
–124
(2003
).14.
A.N.
Shiplyuk
, E.V.
Burov
, A.A.
Maslov
, and V.M.
Fomin
, J. Applied Mech. Tech. Phys.
45
, 286
–291
(2004
).15.
A.
Fedorov
, V.
Kozlov
, A.
Shiplyuk
, A.
Maslov
, and N.
Malmuth
, AIAA J.
44
, 1866
–1871
(2006
).16.
I.V.
Egorov
, A.V.
Fedorov
, and V.G.
Soudakov
, J. Fluid Mech.
601
, 165
–187
(2008
).17.
N.D.
Sandham
and H.
Ludeke
, AIAA J.
47
, 2243
–2252
(2009
).18.
V.
Wartemann
, H.
Ludeke
, and N.D.
Sandham
, AIAA J.
50
, 1281
–1290
(2012
).19.
V.
Wartemann
, A.
Wagner
, T.
Giese
, T.
Eggers
, and K.
Hanneman
, CEAS Space J.
6
, 13
–22
(2014
).20.
X.
Wang
and X.
Zhong
, Phys. Fluids
24
, 034105
(2012
).21.
S.V.
Lukashevich
, A. A.
Maslov
, A. N.
Shiplyuk
, A. V.
Fedorov
, and V.G.
Soudakov
, AIAA J.
50
, 1897
–1904
(2012
).22.
D.
Bountin
, T.
Chimitov
, A.
Maslov
, A.
Novikov
, I.
Egorov
, A.
Fedorov
, and S.
Utyuzhnikov
, AIAA J.
51
, 1203
–1210
(2013
).23.
L.
Duan
, X.
Wang
and X.
Zhong
, AIAA J.
51
, 266
–270
(2013
).24.
K.D.
Fong
, X.
Wang
and X.
Zhong
, Comp. Fluids
96
, 350
–367
(2014
).25.
K.D.
Fong
, X.
Wang
, Y.
Huang
, X.
Zhong
, G.R.
McKieman
, R.A.
Fischer
, and S.P.
Schneider
, AIAA J.
53
, 3138
–3144
(2015
).26.
A. N.
Kudryavtsev
and D. V.
Khotyanovsky
, Thermophysics and Aeromechanics
22
, 559
–568
(2015
).27.
D. V.
Khotyanovsky
, A. N.
Kudryavtsev
, Thermophysics and Aeromechanics
23
, 809
–818
(2016
).
This content is only available via PDF.
© 2021 Author(s).
2021
Author(s)
