This work is concerned with the behavior of pulsatile flows over a backward-facing step geometry. The paper mainly focuses on the effects of the pulsation frequency on the vortex development of a 2:1 backward-facing step for mean Reynolds number of 100 and for 0.035 ≤ St ≤ 2.19. The dependence of the flow field on the Reynolds number (Re = 100 and 200) was also examined for a constant Strouhal number, St of 1. A literature survey was carried out and it was found that the pulsation modifies the behavior of the flow pattern compared to the steady flow. It was shown in the present work that the inlet pulsation generally leads to differences in the mean flow compared to the steady field although the inlet bulk velocity is the same due to energy redistribution of the large-scale vortices, which result in nonlinear effects. The particle-image velocimetry results show that the formation of coherent structures, dynamical shedding, and transport procedure are very sensitive to the level of pulsation frequencies. For low and moderate inlet frequencies, 0.4 ≤ St ≤ 1, strong vortices are formed and these vortices are periodically advected downstream in an alternate pattern. For very low inlet frequency, St = 0.035, stronger vortices are generated due to an extended formation time, however, the slow formation process causes the forming vortices to decay before shedding can happen. For high inlet frequencies, St ≥ 2.19, primary vortex is weak while no secondary vortex is formed. Flow downstream of the expansion recovers quickly. For Re = 200, the pattern of vortex formation is similar to Re = 100. However, the primary and secondary vortices decay more slowly and the vortices remain stronger for Re = 200. The strength and structure of the vortical regions depends highly on St, but Re effects are not negligible.

References

1.
Truskey
,
G. A.
,
Barber
,
K. M.
,
Robey
,
T. C.
,
Olivier
,
L. A.
, and
Combs
,
M. P.
,
1995
, “
Characterization of a Sudden Expansion Flow Chamber to Study the Response of Endothelium to Flow Recirculation
,”
ASME J. Biomech. Eng.
,
117
(
2
), pp.
203
210
.10.1115/1.2796002
2.
Armaly
,
B. F.
,
Durst
,
F.
,
Pereira
,
J. C. F.
, and
Schönung
,
B.
,
1983
, “
Experimental and Theoretical Investigation of Backward-Facing Step Flow
,”
J. Fluid Mech.
,
127
, pp.
473
496
.10.1017/S0022112083002839
3.
Grant
,
I.
,
Owens
,
E.
, and
Yan
,
Y.
,
1992
, “
Particle Image Velocimetry Measurements of the Separated Flow Behind a Rearward Facing Step
,”
Exp. Fluids
,
12
, pp.
238
244
.10.1007/BF00187301
4.
Williams
,
P. T.
, and
Baker
,
A. J.
,
1997
, “
Numerical Simulations of Laminar Flow Over a 3D Backward-Facing Step
,”
Int. J. Num. Meth. Fluid.
,
24
, pp.
1159
1183
.10.1002/(SICI)1097-0363(19970615)24:11<1159::AID-FLD534>3.0.CO;2-R
5.
Kostas
,
J.
,
Soria
,
J.
, and
Chong
,
M. S.
,
2002
, “
Particle Image Velocimetry Measurements of a Backward-Facing Step Flow
,”
Exp. Fluids
,
33
(
6
), pp.
838
853
.10.1007/s00348-002-0521-9
6.
Biswas
,
G.
,
Breuer
,
M.
, and
Durst
,
F.
,
2004
, “
Backward-Facing Step Flows for Various Expansion Ratios at Low and Moderate Reynolds Numbers
,”
ASME J. Fluids Eng.
,
126
(
3
), pp.
362
374
.10.1115/1.1760532
7.
Schram
,
C.
,
Rambaud
,
P.
, and
Riethmuller
,
M. L.
,
2004
, “
Wavelet Based Eddy Structure Education From a Backward Facing Step Flow Investigated Using Particle Image Velocimetry
,”
Exps. Fluids
,
36
, pp.
233
245
.10.1007/s00348-003-0695-9
8.
Rani
,
H. P.
,
Tony
,
W. H. S.
, and
Eric
,
S. F. T.
,
2007
, “
Eddy Structures in a Transitional Backward-Facing Step Flow
,”
J. Fluid Mech.
,
588
, pp.
43
58
10.1017/S002211200700763X
9.
Haidekker
,
M. A.
,
White
,
C. R.
, and
Frangos
J. A.
,
2001
, “
Analysis of Temporal Shear Stress Gradients During the Onset Phase of Flow Over a Backward-Facing Step
,”
ASME J. Biomech. Eng.
,
123
, pp.
455
463
.10.1115/1.1389460
10.
Sobey
,
I. J.
,
1985
, “
Observation of Waves During Oscillatory Channel Flow
,”
J. Fluid Mech.
151
, pp.
395
426
.10.1017/S0022112085001021
11.
Tutty
,
O. R.
,
1992
, “
Pulsatile Flow in a Constricted Channel
,”
ASME J. Biomech. Eng.
,
114
(
1
), pp.
50
54
.10.1115/1.2895449
12.
Rosenfeld
,
M.
,
1995
, “
A Numerical Study of Pulsating Flow Behind a Constriction
,”
J. Fluid Mech.
,
301
, pp.
203
223
.10.1017/S0022112095003867
13.
Valencia
,
A.
, and
Hinojosa
,
L.
,
1997
, “
Numerical Solutions of Pulsating Flow and Heat Transfer Characteristics in a Channel With a Backward-facing Step
,”
Heat Mass Transf.
,
32
, pp.
143
148
.10.1007/s002310050104
14.
Cohen
,
J. M.
,
1995
, “
Transient Flow Over a Backward-Facing Step
,” Ph.D. thesis, University of Connecticut, Storrs, CT.
15.
Salek
,
M. M.
,
Dol
,
S. S.
, and
Martinuzzi
,
R. J.
,
2009
, “
Analysis of Pulsatile Flow in a Separated Flow Region
,”
Proc. ASME 2009 Fluids Engineering Division Summer Meeting FEDSM2009
,
Vail, CO
.
16.
de Brederode
,
V.
, and
Bradshaw
,
P.
,
1972
, “
Three-Dimensional Flow in Nominally Two-Dimensional Separation Bubbles, I. Flow Behind a Rearward-Facing Step
,”
Imperial College of Science and Technology
,
London
, Aero Report 72-19.
17.
Dol
,
S. S.
,
2011
, “
Particle Image Velocimetry Investigation of Pulsatile Flow over a Backward-facing Step
,” Ph.D. thesis, University of Calgary, Calgary, Alberta, Canada.
18.
Jeong
,
J.
, and
Hussain
,
F.
,
1994
, “
On the Identification of a Vortex
,”
J. Fluid Mech.
285
, pp.
69
94
.10.1017/S0022112095000462
19.
Ghia
,
K. N.
,
Osswald
,
G. A.
, and
Ghia
,
U.
,
1989
, “
Analysis of Incompressible Massively Separated Viscous Flows Using Unsteady Navier–Stokes equations
,”
Int. J. Num. Meth. Fluid.
,
9
, pp.
1025
1050
.10.1002/fld.1650090809
20.
Zamir
,
M.
,
2000
,
The Physics of Pulsatile Flow
,
Springer
,
New York
.
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