Flow past cavities covered by perforated lids pose a challenging problem for design engineers. Kelvin–Helmholtz waves appear early in the separated shear layers above the perforations that quickly mature into large-scale coherent structures far downstream. This evolution is sustained by a hydrodynamic feedback mechanism within the cavity even when its aft wall is far removed from the lid. Herein, the results from large-eddy simulations show analogous fundamental characteristics between open and perforated-cover cavities. Both adequately scale the fundamental frequency of the large-scale disturbance using the freestream velocity and the cavity width (or lid length). Moreover, the dimensionless frequencies jump to higher modes at equivalent length scales. Unlike the open cavity, one can invoke certain conditions that instigate the instability above the perforations but not a simultaneous long-term feedback mechanism necessary to fully sustain the periodic oscillation. The lid itself offers options for mitigating (or even eliminating) the instability. Results (for laminar separation) show the perforation spacing as the key factor. While maintaining the same fundamental frequency, one can easily dampen its spectral peak to complete disappearance by extending the perforation spacing.

1.
Sarohia, V., 1975, “Experimental and Analytical Investigation of Oscillations in Flows Over Cavities,” Ph.D. thesis, California Institute of Technology.
2.
Sarohia
,
V.
,
1977
, “
Experimental Investigation of Oscillations in Flows Over Shallow Cavities
,”
AIAA J.
,
15
, No.
7
, pp.
984
991
.
3.
Gharib
,
M.
, and
Roshko
,
A.
,
1987
, “
The Effect of Flow Oscillations on Cavity Drag
,”
J. Fluid Mech.
,
177
, pp.
504
530
.
4.
Rockwell
,
D.
,
1977
, “
Vortex Stretching due to Shear Layer Instability
,”
ASME J. Fluids Eng.
,
99
, pp.
240
244
.
5.
Rockwell
,
D.
,
1977
, “
Prediction of Oscillation Frequencies for Unstable Flow Past Cavities
,”
ASME J. Fluids Eng.
,
99
, pp.
294
300
.
6.
Rockwell
,
D.
, and
Naudascher
,
E.
,
1979
, “
Self-Sustained Oscillations of Impinging Free Shear Layers
,”
Annu. Rev. Fluid Mech.
,
11
, pp.
67
94
.
7.
Rockwell
,
D.
, and
Knisely
,
C.
,
1980
, “
Observations of the Three-Dimensional Nature of Unstable Flow Past a Cavity
,”
Phys. Fluids
,
23
, No.
3
, pp.
425
431
.
8.
Knisely
,
C.
, and
Rockwell
,
D.
,
1982
, “
Self-Sustained Low-Frequency Components in an Impinging Shear Layer
,”
J. Fluid Mech.
,
116
, pp.
157
186
.
9.
Rowley
,
C. W.
,
Colonius
,
T.
, and
Basu
,
A. J.
,
2002
, “
On Self-Sustained Oscillations in Two-Dimensional Compressible Flow Over Rectangular Cavities
,”
J. Fluid Mech.
,
455
, pp.
315
346
.
10.
King
,
J. L.
,
Boyle
,
P.
, and
Ogle
,
J. B.
,
1958
, “
Instability in Slotted Wall Tunnels
,”
J. Fluid Mech.
,
4
, pp.
283
305
.
11.
Celik
,
E.
, and
Rockwell
,
D.
,
2002
, “
Shear Layer Oscillation Along a Perforated Surface: A Self-Excited Large-Scale Instability
,”
Phys. Fluids
,
14
, No.
12
, pp.
4444
4447
.
12.
Ozalp
,
C.
,
Pinarbasi
,
A.
, and
Rockwell
,
D.
,
2003
, “
Self-Excited Oscillations of Turbulent Inflow Along a Perforated Plate
,”
J. Fluids Struct.
,
17
, pp.
995
970
.
13.
Jordan
,
S. A.
, and
Ragab
,
S.
,
1998
, “
A Large-Eddy Simulation of the Near Wake of a Circular Cylinder
,”
ASME J. Fluids Eng.
,
120
, pp.
243
252
.
14.
Kravchenko
,
A. G.
, and
Moin
,
P.
,
2000
, “
Numerical Studies of Flow Over a Circular Cylinder at ReD=3900,
Phys. Fluids
,
12
, No.
2
, pp.
403
417
.
15.
Breuer
,
M.
,
1998
, “
Numerical and Modeling Influences on Large-Eddy Simulations for the Flow Past a Circular Cylinder
,”
Int. J. Heat Fluid Flow
,
19
, pp.
512
521
.
16.
Jordan
,
S. A.
,
1999
, “
A Large-Eddy Simulation Methodology in Generalized Curvilinear Coordinates
,”
J. Comput. Phys.
,
148
, pp.
322
340
.
17.
Jordan
,
S. A.
,
2003
, “
Resolving Turbulent Wakes
,”
ASME J. Fluids Eng.
,
125 pp.
823
834
.
18.
Smagorinsky
,
J.
,
1963
, “
General Circulation Experiments With the Primitive Equations, I. The Basic Experiment
,”
Mon. Weather Rev.
,
91
, pp.
99
164
.
19.
Germano
,
M.
,
Piomelli
,
U.
,
Moin
,
P.
, and
Cabot
,
W. H.
,
1991
, “
A Dynamic Subgrid-Scale Eddy Viscosity Model
,”
Phys. Fluids
,
3
, pp.
1760
1765
.
20.
Jordan
,
S. A.
,
2001
, “
Dynamic Subgrid-Scale Modeling for Large-Eddy Simulations in Complex Topologies
,”
ASME J. Fluids Eng.
,
123
, pp.
1
10
.
21.
Schumann
,
U.
,
1975
, “
Subgrid-Scale Model for Finite Difference Simulation of Turbulent Flows in Plane Channel and Annuli
,”
J. Comput. Phys.
,
18
, pp.
376
404
.
22.
Rockwell, D., 2003, personal communication.
23.
Mansy
,
H.
,
Yang
,
P.
, and
Williams
,
D. R.
,
1990
, “
Quantitative Measurements of Three-Dimensional Structures in the Wake of a Circular Cylinder
,”
J. Fluid Mech.
,
270
, pp.
277
296
.
24.
Pauley
,
L. L.
,
Moin
,
P.
, and
Reynolds
,
W. C.
,
1990
, “
The Structure of Two-Dimensional Separation
,”
J. Fluid Mech.
,
220
, pp.
397
411
.
25.
Liepmann, H. W., and Lufer, J., 1947, “Investigation of Free Turbulent Mixing,” NACA Technical Note No. 1257.
You do not currently have access to this content.