Experiments have been conducted to study the development of flow behind a surface mounted rib under different phase controlled excitation. Single mode excitation and multi-mode excitation with different relative phases are studied. The results presented include the coherent and random components of the turbulent energy and shear stresses, the energy exchange with the mean flow and between the modes, and the phase decorrelation of the coherent components. The fundamental-subharmonic excitation does not provide any significant improvements in the shear layer growth over the fundamental excitation. The shear layer growth correlates with the subharmonic mode development. The large scale structures are significant even after the reattachment region as evident from the magnitude of the coherent components of the turbulent energy and the shear stress. The binary exchange terms are significant in the near-field region whose sign is phase dependent, i.e., it reverses its sign based on the phase difference between the fundamental and 1st subharmonic mode. The location of the fundamental and subharmonic peaks are different from the peak location of their respective energy exchange with the mean flow; this is attributed to the significance of the binary energy exchange between the fundamental and the subharmonic mode in this region. The excitation regularizes the flow leading to low phase jitter in the near field region. The origin and development of phase decorrelation is attributed primarily to the subharmonic instability.

1.
Ho
,
C. M.
, and
Huang
,
L. S.
,
1982
, “
Subharmonics and Vortex Merging in Mixing Layers
,”
J. Fluid Mech.
,
119
, pp.
443
473
.
2.
Yang
,
Z.
, and
Karlsson
,
S. K. F.
,
1991
, “
Evolution of Coherent Structures in a Plane Shear Layer
,”
Phys. Fluids A
,
3
(
9
), pp.
2207
2219
.
3.
Raman
,
G.
, and
Rice
,
E. J.
,
1991
, “
Axisymmetric Jet Forced by Fundamental and Subharmonic Tones
,”
AIAA J.
,
29
(
7
), pp.
1114
1122
.
4.
Gordeyev
,
S. V.
, and
Thomas
,
F. O.
,
1999
, “
Temporal Subharmonic Amplitude and Phase Behavior in a Jet Shear Layer: Wavelet Analysis and Hamiltonian Formulation
,”
J. Fluid Mech.
,
394
, pp.
205
240
.
5.
Roos
,
F. W.
, and
Kegelman
,
J. T.
,
1986
, “
Control of Coherent Structures in Reattaching Laminar and Turbulent Shear Layers
,”
AIAA J.
,
24
(
12
), pp.
1956
1963
.
6.
Bhattacharjee
,
S.
,
Scheelke
,
B.
, and
Troutt
,
T. R.
,
1986
, “
Modification of Vortex Interactions in a Reattaching Separated Flow
,”
AIAA J.
,
24
(
4
), pp.
623
629
.
7.
Hasan
,
M. A. Z.
,
1992
, “
The Flow Over a Backward Facing Step Under Controlled Perturbation: Laminar Separation
,”
J. Fluid Mech.
,
238
, pp.
73
96
.
8.
Zhou
,
M. D.
,
Heine
,
C.
, and
Wygnanski
,
I.
,
1996
, “
The Effects of Excitation on the Coherent and Random Motion in a Plane Wall Jet
,”
J. Fluid Mech.
,
310
, pp.
1
37
.
9.
Acharya
,
S.
, and
Panigrahi
,
P. K.
,
2003
, “
Analysis of Large Scale Structures in Separated Shear Layer
,”
Exp. Therm. Fluid Sci.
,
27
(
7
), pp.
817
828
.
10.
Ho
,
C. M.
,
Zohar
,
Y.
,
Foss
,
J. K.
, and
Buell
,
J. C.
,
1991
, “
Phase Decorrelation of Coherent Structures in a Free Shear Layer
,”
J. Fluid Mech.
,
230
, pp.
319
337
.
11.
Fiedler
,
H. E.
, and
Mensing
,
P.
,
1985
, “
The Plane Turbulent Shear Layer with Periodic Excitation
,”
J. Fluid Mech.
,
150
, pp.
281
309
.
12.
Moffat
,
R. J.
,
1982
, “
Contributions to the Theory of Single-Sample Uncertainty Analysis
,”
ASME J. Fluids Eng.
,
104
, pp.
250
260
.
13.
Acharya
,
S.
, and
Panigrahi
,
P. K.
,
2003
, “
Analysis of Phase Jitter Evolution in a Reattaching Shear Layer
,”
Exp. Fluids
,
35
(
3
),
237
239
.
14.
Nikitopoulos
,
D. E.
, and
Liu
,
J. T. C.
,
1987
, “
Nonlinear Binary-Mode Interactions in a Developing Mixing Layer
,”
J. Fluid Mech.
,
179
, pp.
345
370
.
15.
Hajj
,
M. R.
,
Miksad
,
R. W.
, and
Powers
,
E. J.
,
1992
, “
Subharmonic Growth by Parametric Resonance
,”
J. Fluid Mech.
,
236
, pp.
385
413
.
16.
Eaton, J. K., and Johnston, J. P., 1981, “Low Frequency Unsteadiness of a Reattaching Turbulent Shear Layer,” Proceedings of the Third International Symposium on Turbulent Shear Flows, Davis, CA, pp. 162–170.
17.
Rajaee
,
M.
, and
Karlsson
,
S. K. F.
,
1992
, “
On the Fourier Space Decomposition of Free Shear Flow Measurements and Mode Generation in the Pairing Process
,”
Phys. Fluids A
,
4
(
2
), pp.
321
339
.
18.
Antonia
,
R. A.
, and
Luxton
,
R. E.
,
1971
, “
The Response of a Turbulent Boundary Layer to an Upstanding Step Change in Surface Roughness
,”
J. Fluid Mech.
,
48
(
4
), pp.
721
761
.
19.
Antoniou
,
J.
, and
Bergeles
,
G.
,
1988
, “
Development of the Reattached Flow Behind Surface-Mounted Two Dimensional Prisms
,”
ASME J. Fluids Eng.
,
110
, pp.
127
133
.
You do not currently have access to this content.