Digital particle image velocimetry was applied to investigate turbulent flow of air between a flexible wall and a rigid surface containing a backward-facing step (BFS). The inflow condition corresponded to a Coanda jet issuing from a nozzle that was located upstream of the BFS. The flexible wall was represented by a sheet of paper under tension that was positioned above the BFS. Two additional configurations, which involved the BFS without the flexible wall and the BFS in proximity to an inclined rigid upper wall, were considered in this study. In all three cases, the flow fields were characterized in terms of patterns of time-averaged velocity, out-of-plane vorticity, streamline topology, and turbulence statistics. High-speed photography and unsteady pressure measurements were employed to characterize the flow-induced deformation of the flexible wall and the flow oscillations. The profile of the paper sheet could be approximated by linear segments, which, in conjunction with the rigid surface that contained the BFS, formed a diverging channel configuration. Confinement of the incoming flow by the flexible wall delayed flow reattachment to the rigid bottom surface downstream of the BFS. Patterns of turbulence statistics in the presence of the flexible wall shared qualitative similarity with the corresponding parameters of diverging channel flows as well as classical Couette–Poiseuille flows.

1.
Moeller
,
S.
,
Axelrod
,
S.
, and
Luis
,
J.
, 2005,
Air Clamp Stabilizer for Continuous Web Materials
,
Honeywell International, Inc.
,
United States
.
2.
Coanda
,
H.
, 1932, “
Procede de propulsion dans un fluide
,” Brevet Invent. Gr. Cl. 2. Republique Francaise.
3.
Neuendorf
,
R.
, and
Wygnanski
,
I.
, 1999, “
On a Turbulent Wall Jet Flowing Over a Circular Cylinder
,”
J. Fluid Mech.
0022-1120,
381
(
1
), pp.
1
25
.
4.
Neuendorf
,
R.
,
Lourenco
,
L.
, and
Wygnanski
,
I.
, 2004, “
On Large Streamwise Structures in a Wall Jet Flowing Over a Circular Cylinder
,”
Phys. Fluids
1070-6631,
16
(
2158
), pp.
2158
.
5.
Han
,
G.
,
de Zhou
,
M.
, and
Wygnanski
,
I.
, 2006, “
On Streamwise Vortices and Their Role in the Development of a Curved Wall Jet
,”
Phys. Fluids
1070-6631,
18
, p.
095104
.
6.
Allery
,
C.
,
Guerin
,
S.
,
Hamdouni
,
A.
, and
Sakout
,
A.
, 2004, “
Experimental and Numerical POD Study of the Coanda Effect Used to Reduce Self-Sustained Tones
,”
Mech. Res. Commun.
0093-6413,
31
, pp.
105
120
.
7.
Armaly
,
B.
,
Durst
,
F.
,
Pereira
,
J. C. F.
, and
Schonung
,
B.
, 1983, “
Experimental and Theoretical Investigation of Backward-Facing Step Flow
,”
J. Fluid Mech.
0022-1120,
127
(
473
), pp.
473
496
.
8.
Hasan
,
M. A.
, 1992, “
The Flow Over a Backward-Facing Step Under Controlled Perturbation: Laminar Separation
,”
J. Fluid Mech.
0022-1120,
238
, pp.
73
96
.
9.
Eaton
,
J. K.
, and
Johnston
,
J. P.
, 1980, “
Turbulent Flow Reattachment: An Experimental Study of the Flow and Structure Behind a Backward-Facing Step
,”
Technical Report MD 39
,
Stanford University
,
California
.
10.
Le
,
H.
,
Moin
,
P.
, and
Kim
,
J.
, 1997, “
Direct Numerical Simulation of Turbulent Flow Over a Backward-Facing Step
,”
J. Fluid Mech.
0022-1120,
330
, pp.
349
374
.
11.
Dandois
,
J.
,
Garnier
,
E.
, and
Sagaut
,
P.
, 2007, “
Numerical Simulation of Active Separation Control by a Synthetic Jet
,”
J. Fluid Mech.
0022-1120,
574
, pp.
25
58
.
12.
Wu
,
X.
,
Schlüter
,
J.
,
Moin
,
P.
,
Pitsch
,
H.
,
Iaccarino
,
G.
, and
Ham
,
F.
, 2006, “
Computational Study on the Internal Layer in a Diffuser
,”
J. Fluid Mech.
0022-1120,
550
, pp.
391
412
.
13.
Okwuobi
,
P. A. C.
, and
Azad
,
R. S.
, 1973, “
Turbulence in a Conical Diffuser With Fully Developed Flow at Entry
,”
J. Fluid Mech.
0022-1120,
57
, pp.
603
622
.
14.
Azad
,
R. S.
, 1996, “
Turbulent Flow in a Conical Diffuser: A Review
,”
Exp. Therm. Fluid Sci.
0894-1777,
13
(
4
), pp.
318
337
.
15.
Buice
,
C. U.
, and
Eaton
,
J. K.
, 1997, “
Experimental Investigation of Flow Through an Asymmetric Plane Diffuser
,”
Department of Mechanical Engineering
,
Stanford University
,
California
.
16.
Gullman-Strand
,
J.
,
Tornblom
,
O.
,
Lindgren
,
B.
,
Amberg
,
G.
, and
Johansson
,
A. V.
, 2004, “
Numerical and Experimental Study of Separated Flow in a Plane Asymmetric Diffuser
,”
Int. J. Heat Fluid Flow
0142-727X,
25
(
3
), pp.
451
460
.
17.
Driver
,
D. M.
, and
Seegmiller
,
H. L.
, 1985, “
Features of a Reattaching Turbulent Shear-Layer in Divergent Channel Flow
,”
AIAA J.
0001-1452,
23
(
2
), pp.
163
171
.
18.
Lakshmana Rao
,
C.
,
Lakshminarasimhan
,
J.
,
Sethuraman
,
R.
, and
Sivakumar
,
S. M.
, 2004,
Engineering Mechanics: Statics and Dynamics
,
Prentice-Hall of India
,
India
.
19.
Livesey
,
J. L.
,
Jackson
,
J. D.
, and
Southern
,
C. J.
, 1962, “
The Static-Hole Error Problem: An Experimental Investigation of Errors for Holes of Varying Diameter and Depth
,”
Aircr. Eng.
0002-2667,
34
, pp.
43
47
.
20.
Welch
,
P. D.
, 1967, “
The Use of Fast Fourier Transform for the Estimation of Power Spectra: A Method Based on Time Averaging Over Short, Modified Periodograms
,”
IEEE Trans. Audio Electroacoust.
0018-9278,
15
(
2
), pp.
70
73
.
21.
Tennekes
,
H.
, and
Lumley
,
J. L.
, 1972,
A First Course in Turbulence
,
The MIT Press
,
Cambridge
.
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