This paper is concerned with the numerical simulation of unsteady turbulent flows behind sudden expansions without inlet swirl. Time dependent simulations have been carried out using the VLES approach with the standard k-ε model. The expansion ratio investigated is in the range from 1.96–6.0. The simulations show that the flows in axisymmetric sudden expansions are inherently unstable when the expansion ratio is above a critical value. The precessing phenomenon, which features self-sustained precession of the global flowfield around the expansion centerline, is predicted successfully using CFD, with simulated oscillation frequencies that are in general agreement with reported data. For the case of expansion ratios from 3.5–6.0, a combination of a precession motion and a flapping motion in a rotating frame of reference is predicted in terms of the jet movement. Large-scale structures are identified in the downstream flowfield. Other important phenomena, such as the transition of the oscillation patterns, have also been predicted.

1.
Yazdabadi
,
P. A.
,
Griffiths
,
A. J.
, and
Syred
,
N.
,
1994
, “
Characterization of the PVC Phenomena in the Exhaust of a Cyclone Dust Separator
,”
Exp. Fluids
,
17
, No.
1/2
, pp.
84
95
.
2.
Fick
,
W.
,
Syred
,
N.
,
Griffiths
,
A. J.
, and
O’Doherty
,
T.
,
1996
, “
Phase-Averaged Temperature Characterized in Swirl Burners
,”
Journal of Power and Energy
,
210
, No.
5
, pp.
383
395
.
3.
Dellenback
,
P. S.
,
Metzger
,
D. E.
, and
Neitzel
,
G. P.
,
1988
, “
Measurement in Turbulent Swirling Flow Through an Abrupt Axisymmetric Expansion
,”
AIAA J.
,
26
, No.
6
, pp.
669
681
.
4.
Hill, S. J., Nathan, G. J., and Luxton, R. E., 1995, “Precession in Axisymmetric Confined Jets,” Proceedings of 12th Australasian Fluid Mechanics Conference, Bilger, R. W., ed., Sydney, Dec. 10–15, pp. 135–138.
5.
Nathan
,
G. J.
,
Hill
,
S. J.
, and
Luxton
,
R. E.
,
1998
, “
An Axisymmetric ‘Fluidic’ Nozzle to Generate Jet Precession
,”
J. Fluid Mech.
,
370
, pp.
347
380
.
6.
Nathan
,
G. J.
,
Turns
,
S. R.
, and
Bandaru
,
R. V.
,
1996
, “
The Influence of Jet Precession on NOx Emissions and Radiation from Turbulent Flames
,”
Combust. Sci. Technol.
,
112
, pp.
211
230
.
7.
Southwell
,
D. B.
, and
Langrish
,
T. A. G.
,
2000
, “
Observations of Flow Patterns in a Spray Dryer
,”
Drying Technol.
,
18
, No.
3
, pp.
661
685
.
8.
Lawson
,
N. J.
, and
Davidson
,
M. R.
,
1999
, “
Crossflow Characteristics of an Oscillating Jet in a Thin Slab Casting Mould
,”
ASME J. Fluids Eng.
,
121
, pp.
588
595
.
9.
Durrett
,
R. P.
,
Stevenson
,
W. H.
, and
Thompson
,
H. D.
,
1988
, “
Radial and Axial Turbulent Flow Measurements with an LDV in an Axisymmetric Sudden Expansion Air Flow
,”
ASME J. Fluids Eng.
,
110
, pp.
367
372
.
10.
Back
,
L. H.
, and
Roschke
,
E. J.
,
1972
, “
Shear-Layer Flow Regimes and Wave Instabilities and Reattachment Lengths Downstream of an Abrupt Circular Channel Expansion
,”
ASME J. Appl. Mech.
,
39
, pp.
677
681
.
11.
Moon
,
L. F.
, and
Rudinger
,
G.
,
1977
, “
Velocity Distribution in an Abrupt Expanding Circular Duct
,”
ASME J. Fluids Eng.
,
99
, pp.
226
230
.
12.
Gould
,
R. D.
,
Stevenson
,
W. H.
, and
Thompson
,
H. D.
,
1990
, “
Investigation of Turbulent Transport in an Axisymmetric Sudden Expansion
,”
AIAA J.
,
28
, No.
2
, pp.
276
283
.
13.
Hallett
,
W. L. H.
, and
Gunther
,
R.
,
1984
, “
Flow and Mixing in Swirling Flow in a Sudden Expansion
,”
The Canadian Journal of Mechanical Engineering
,
62
, Feb. pp.
149
155
.
14.
Mi, J., Nathan, G. J., and Luxton, R. E., 1995, “Precessing and Axial Flows Following a Sudden Expansion in an Axisymmetric Nozzle,” Proceedings of 12th Australasian Fluid Mechanics Conference, Bilger, R. W., ed., Sydney, Dec. 10–15, pp. 119–122.
15.
Mi, J., Luxton, R. E., and Nathan, G. J., 1998, “The Mean Flow Field of a Precessing Jet,” Proceedings of 13th Australasian Fluid Mechanics Conference, Thompson, M. C., and Hourigan, K., eds., Melbourne, Dec. 13–18, pp. 325–328.
16.
Schneider, G. M., Nathan, G. J., and Luxton, R. E., 1992, “An Experimental Study of a Precessing, Deflected Jet,” Proceedings of 11th Australasian Fluid Mechanics Conference, Davis, M. R., and Walker, G. J., eds., Hobart, Dec. 14–18, pp. 1105–1108.
17.
Honeyands, T. A., and Molloy, N. A., 1995, “Oscillations of Submerged Jets Confined in a Narrow Deep Rectangular Cavity,” Proceedings of 12th Australasian Fluid Mechanics Conference, Bilger, R. W., ed., Sydney, Dec. 10–15, pp. 493–496.
18.
Gebert
,
B. M.
,
Davidson
,
M. R.
, and
Rudman
,
M. J.
,
1998
, “
Computed Oscillations of a Confined Submerged Liquid Jet
,”
Appl. Math. Model.
,
22
, pp.
843
850
.
19.
CFX, Solver Manual, CFX International, AEA Technology, 1997, Harwell, Didcot, Oxon, UK.
20.
Guo
,
B.
,
Langrish
,
T. A. G.
, and
Fletcher
,
D. F.
,
2001
, “
Simulation of Turbulent Swirl Flow in an Axisymmetric Sudden Expansion
,”
AIAA J.
,
39
, No.
1
, pp.
96
102
.
21.
Spalart
,
P. R.
,
2000
, “
Strategies for Turbulence Modelling and Simulations
,”
International Journal of Heat and Fluid Flow
,
21
, No.
3
, pp.
252
263
.
22.
Speziale
,
C. G.
,
1998
, “
Turbulence Modeling for Time-Dependent RANS and VLES: a Review
,”
AIAA J.
,
36
, No.
2
, pp.
173
184
.
23.
Rodi
,
W.
,
Ferziger
,
J. H.
,
Breuer
,
M.
, and
Pourquie
,
M.
,
1997
, “
Status of Large Eddy Simulation: Results of a Workshop
,”
ASME J. Fluids Eng.
,
119
, pp.
248
262
.
24.
Wilcox, D. C., 1994, Turbulence Modeling for CFD, DCW Industries, Inc.
25.
Guo
,
B.
,
Langrish
,
T. A. G.
, and
Fletcher
,
D. F.
,
2001
, “
An Assessment of Turbulence Models Applied to the Simulation of a Two-Dimensional Submerged Jet
,”
Appl. Math. Model
,
25
, No.
8
, pp.
635
653
.
26.
Shore, N. A, Haynes, B. S., Fletcher, D. F., and Sola, A. A., 1995, “Numerical Aspects of Swirl Flow Computations,” Proceedings of the Seventh Biennial Conference on Computational Techniques and Applications: CTAC95, May, R. L., and Easton, A. K., eds., Melbourne, July 3–5, pp. 693–700.
27.
Leonard
,
B. P.
,
1979
, “
A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation
,”
Comput. Methods Appl. Mech. Eng.
,
9
, No.
1
, pp.
59
98
.
28.
Hirsch, C., 1990, Numerical Computation of Internal and External Flows, Vol. 2, Wiley, New York, pp. 536–545.
29.
Issa
,
R. I.
,
1985
, “
Solution of the Implicitly Discretised Fluid Flow Equations by Operator Splitting
,”
J. Comput. Phys.
,
62
, No.
1
, pp.
40
65
.
30.
Battaglia, F., Kulkarni, A. K., Feng, J., and Merkle, C. L., 1997, “Simulations of Planar Flapping Jets in Confined Channels,” AIAA Paper 97–1992, pp. 1–11.
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