A modified low-Reynolds-number k-ε turbulence model is developed in this work. The performance of the proposed model is assessed through testing with fully developed pipe flows and recirculating flow in pipe expansion. Attention is specifically focused on the flow region around the reattachment point. It is shown that the proposed model is capable of correctly predicting the near-wall limiting flow behavior while avoiding occurrence of the singular difficulty near the reattachment point as applying to the recirculating flow in sudden-expansion pipe.

1.
Chapman
D. R.
, and
Kuhn
G. D.
,
1986
, “
The Limiting Behavior of Turbulence Near a Wall
,”
Journal of Fluid Mechanics
, Vol.
170
, pp.
265
292
.
2.
Chien
K. Y.
,
1982
, “
Predictions of Channel and Boundary-Layer Flows with a Low-Reynolds-Number Turbulence Model
,”
AIAA Journal
, Vol.
20
, pp.
33
38
.
3.
Durret
R. P.
,
Stevenson
W. H.
, and
Thompson
H. D.
,
1988
, “
Radial and Axial Turbulent Flow Measurements with an LDV in an Axisymmetrical Sudden Expansion Air Flow
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
110
, pp.
367
372
.
4.
Farhanieh
B.
,
Davidson
L.
, and
Sude´n
B.
,
1993
, “
Employment of Second-Moment Closure for Calculation of Turbulent Recirculating Flows in Complex Geometries with Collocated Variable Arrangement
,”
International Journal of Numerical Methods for Fluids
, Vol.
16
, pp.
525
544
.
5.
Lam
C. K. G.
, and
Bremhorst
K. A.
,
1981
, “
A Modified Form of the k-ε Model for Predicting Wall Turbulence
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
103
, pp.
456
460
.
6.
Laufer, J., 1954, “The Structure of Turbulence in Fully Developed Pipe Flow,” NACA Report 1174.
7.
Launder
B. E.
, and
Sharma
B. I.
,
1974
, “
Application of the Energy-Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc
,”
Letters in Heat and Mass Transfer
, Vol.
1
, pp.
131
138
.
8.
Marquardt
D. M.
,
1963
, “
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
,”
Society for Industrial and Applied Mathematics, Journal
, Vol.
11
, pp.
431
441
.
9.
Myong
H. K.
, and
Kasagi
N.
,
1990
, “
A New Approach to Improved k-ε Turbulence Model for Wall-Bounded Shear Flows
,”
JSME International Journal
, Series II, Vol.
33
, pp.
63
72
.
10.
Nagano
Y.
, and
Hishida
M.
,
1987
, “
Improved Form of the k-ε Model for Wall Turublent Shear Flows
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
109
, pp.
156
160
.
11.
Nagano
Y.
, and
Tagawa
M.
,
1990
, “
An Improved k-ε Model for Boundary Layer Flows
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
112
, pp.
33
39
.
12.
Nallasamy
M.
,
1987
, “
Turbulence Models and Their Applications to the Prediction of Internal Flows: a Review
,”
Computers and Fluids
, Vol.
3
, pp.
151
194
.
13.
Nikjooy
M.
, and
Mongia
H. C.
,
1991
, “
A Second-Order Modeling Study of Confined Swirling Flow
,”
International Journal of Heat and Fluid Flow
, Vol.
12
, pp.
12
18
.
14.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, D.C.
15.
Patel
V. C.
,
Rodi
W.
, and
Scheuerer
G.
,
1985
, “
Turbulence Models for Near-Wall and Low-Reynolds-Number Flows: a Review
,”
AIAA Journal
, Vol.
23
, pp.
1308
1319
.
16.
Schildknecht
M.
,
Miller
J. A.
, and
Meier
G. E. A.
,
1979
, “
The Influence of Suction on the Structure of Turbulence in Fully Developed Pipe Flow
,”
Journal of Fluid Mechanics
, Vol.
90
, pp.
67
107
.
17.
Shih
T. H.
, and
Lumley
J. L.
,
1993
, “
Kolmogorov Behavior of Near-Wall Turbulence and Its Application in Turbulence Modeling
,”
International Journal of Computational Fluid Dynamics
, Vol.
1
, pp.
43
56
.
18.
Shih, T. H., and Mansour, N. N., 1990, “Modeling of Near-Wall Turbulence,” NASA TM-103222.
19.
Speziale
C. G.
,
1991
, “
Analytical Methods for the Development of Reynolds-Stress Closures in Turbulence
,”
Annual Review of Fluid Mechanics
, Vol.
23
, pp.
107
157
.
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