Solutions to the incompressible Reynolds-averaged Navier–Stokes equations have been obtained for turbulent vortex breakdown within a slightly diverging tube. Inlet boundary conditions were derived from available experimental data for the mean flow and turbulence kinetic energy. The performance of both two-equation and full differential Reynolds stress models was evaluated. Axisymmetric results revealed that the initiation of vortex breakdown was reasonably well predicted by the differential Reynolds stress model. However, the standard K-ε model failed to predict the occurrence of breakdown. The differential Reynolds stress model also predicted satisfactorily the mean azimuthal and axial velocity profiles downstream of the breakdown, whereas results using the K-ε model were unsatisfactory. [S0098-2202(00)01601-1]

1.
Grabowski
,
W. J.
, and
Berger
,
S. A.
,
1976
, “
Solutions of the Navier-Stokes Equations for Vortex Breakdown
,”
J. Fluid Mech.
,
75
, pp.
525
544
.
2.
Spall
,
R. E.
, and
Gatski
,
T. B.
,
1991
, “
Computational Study of the Topology of Vortex Breakdown
,”
Proc. R. Soc. London, Ser. A
,
435
, pp.
321
337
.
3.
Breuer
,
M.
, and
Hanel
,
D.
,
1993
, “
A Dual Time-Stepping Method for 3-D Viscous Incompressible Vortex Flows
,”
Comput. Fluids
,
22
, pp.
467
484
.
4.
Spall
,
R. E.
,
1996
, “
Transition From Spiral- to Bubble-Type Vortex Breakdown
,”
Phys. Fluids
,
8
, pp.
1330
1332
.
5.
Sarpkaya
,
T.
,
1995
, “
Turbulent Vortex Breakdown
,”
Phys. Fluids
,
7
, pp.
2301
2303
.
6.
Sarpkaya, T., and Novak, F., 1998, “Turbulent Vortex Breakdown Experiments,” IUTAM Symposium on Dynamics of Slender Vortices, E. Krause and K. Gersten, eds., Kluwer Academic Publishers, pp. 287–296.
7.
Hogg
,
S.
, and
Leschziner
,
M. A.
,
1989
, “
Computation of Highly Swirling Confined Flow with a Reynolds Stress Turbulence Model
,”
AIAA J.
,
27
,
57
63
.
8.
Bilanin, A. J., Teske, M. E. and Hirsh, J. E., 1997, “Deintensification as a Consequence of Vortex Breakdown,” Proceedings of the Aircraft Wake Vortices Conference, Report No. FAA-RD-77-68.
9.
Spall
,
R. E.
, and
Gatski
,
T. B.
,
1995
, “
Numerical Calculations of Three-Dimensional Turbulent Vortex Breakdown
,”
Int. J. Numer. Methods Fluids
,
20
, pp.
307
318
.
10.
Gatski
,
T. B.
, and
Speziale
,
C. G.
,
1993
, “
On Explicit Algebraic Reynolds Stress Models for Complex Turbulent Flows
,”
J. Fluid Mech.
,
254
, pp.
59
78
.
11.
Leonard
,
B. P.
,
1979
, “
A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation
,”
Comput. Methods Appl. Mech. Eng.
,
19
, pp.
59
98
.
12.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Washington, DC, Hemisphere Publishing Corp.
13.
Launder
,
B. E.
,
Reece
,
G. J.
, and
Rodi
,
W.
,
1975
, “
Progress in the Development of a Reynolds-Stress Turbulence Closure
,”
J. Fluid Mech.
,
68
, pp.
537
566
.
14.
Gibson
,
M. M.
, and
Launder
,
B. E.
,
1978
, “
Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer
,”
J. Fluid Mech.
,
86
, pp.
491
511
.
15.
Lien
,
F. S.
, and
Leschziner
,
M. A.
,
1994
, “
Assessment of Turbulence-Transport Models Including Non-Linear RNG Eddy-Viscosity Formulation and Second-Moment Closure for Flow Over a Backward-Facing Step
,”
Comput. Fluids
,
23
, pp.
983
1004
.
16.
Sarpkaya, T. and Novak, F., private communication.
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