A new approach for modeling the one-point turbulence statistics, which takes into account the information on turbulence structure, has been suggested in Kassinos and Reynolds (Report TF-61, Thermosciences Division, Department of Mechanical Engineering, Stanford University, 1994). In the present work, the structure-based model [Int. J. Heat Fluid Flow 21, 599 (2000)] (SBM) based on those ideas, was evaluated in a complex inhomogeneous turbulent flow in a cylindrical pipe rotating around its longitudinal axis. It was found that the SBM is able to predict the flow accurately at various Reynolds numbers and under stronger rotation than what is possible with the Reynolds stress transport models (RSTMs). In a fully developed rotating pipe flow, the SBM, being a linear model, slightly improves the profiles obtained with the nonlinear RSTM [J. Fluid Mech. 227, 245 (1991)]. However, if the standard equation for the dissipation rate is used, the SBM, as do the RSTMs, significantly overpredicts the turbulent kinetic energy level in this part of flow in comparison with the results of experiments.

1.
S. C. Kassinos and W. C. Reynolds, “A structure-based model for the rapid distortion of homogeneous turbulence,” Report TF-61, Thermosciences Division, Department of Mechanical Engineering, Stanford University, 1994.
2.
S. C.
Kassinos
,
W. C.
Reynolds
, and
M. M.
Rogers
, “
One-point turbulence structure tensors
,”
J. Fluid Mech.
428
,
213
(
2001
).
3.
W. C.
Reynolds
and
S. C.
Kassinos
, “
A one-point model for the evolution of the Reynolds stress and structure tensors in rapidly deformed homogeneous turbulence
,”
Proc. R. Soc. London, Ser. A
451
,
87
(
1995
).
4.
S. C. Kassinos and W. C. Reynolds, “An interacting particle representation model for the deformation of homogeneous turbulence,” Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford University, 1996, p. 31.
5.
S. C. Kassinos and W. C. Reynolds, “Advances in structure-based modeling,” Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford University, 1997, p. 179.
6.
S. C. Kassinos and W. C. Reynolds, “A structure-based model with stropholysis effects,” Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford University, 1998, p. 197.
7.
S. C.
Kassinos
,
C. A.
Langer
,
S. L.
Haire
and
W. C.
Reynolds
, “
Structure-based turbulence modeling for wall-bounded flows
,”
Int. J. Heat Fluid Flow
21
,
599
(
2000
).
8.
K.
Kikuyama
, “
Flow in an axially rotating pipe (a calculation of flow in the saturated region)
,”
Bull. JSME
26
,
506
(
1983
).
9.
J. F.
Mahoney
, “
Tensor and isotropic identities
,”
Matrix Tensor Q
34
,
85
(
1985
).
10.
P.
Durbin
, “
A Reynolds-stress model for near-wall turbulence
,”
J. Fluid Mech.
249
,
465
(
1993
).
11.
P. G. Zaets, N. A. Safarov, and R. A. Safarov, “Experimental study of the behavior of turbulence characteristics in a pipe rotating around its axis (in Russian),” Modern Problems of Continuous Medium Mechanics, Moscow Physics and Technics Institute, 1985, p. 136.
12.
S.
Imao
,
M.
Itoh
, and
T.
Harada
, “
Turbulent characteristics of the flow in an axially rotating pipe
,”
Int. J. Heat Fluid Flow
17
,
444
(
1996
).
13.
J. G. M.
Eggels
,
F.
Unger
,
M. H.
Weiss
,
J.
Westerweel
,
R. J.
Adrian
,
R.
Friedrich
, and
F. T. M.
Nieuwstadt
, “
Fully developed turbulent pipe flow: A comparison between direct numerical simulation and experiment
,”
J. Fluid Mech.
268
,
175
(
1994
).
14.
A. F.
Kurbatskii
,
S. V.
Poroseva
, and
S. N.
Yakovenko
, “
Calculation of statistical characteristics of a turbulent flow in a rotated cylindrical pipe
,”
High Temp.
133
,
738
(
1995
).
15.
P.
Bradshaw
, “
The analogy between streamline curvature and buoyancy in turbulent shear flow
,”
J. Fluid Mech.
36
,
177
(
1969
).
16.
C. G.
Speziale
,
S.
Sarkar
, and
T. B.
Gatski
, “
Modeling the pressure–strain correlation of turbulence: An invariant dynamical systems approach
,”
J. Fluid Mech.
227
,
245
(
1991
).
17.
B. E.
Launder
,
G. J.
Reece
, and
W.
Rodi
, “
Progress in development of a Reynolds-stress turbulence closure
,”
J. Fluid Mech.
68
,
537
(
1975
).
18.
M. M.
Gibson
and
B. E.
Launder
, “
Ground effects on pressure fluctuations in the atmospheric boundary layer
,”
J. Fluid Mech.
86
,
491
(
1978
).
19.
R. M. C. So and G. J. Yoo, “On the modelling of low-Reynolds-number turbulence,” NASA Report CR-3994, 1986.
20.
B. A.
Pettersson
,
H. I.
Andersson
, and
A. S.
Brunvoll
, “
Modeling near-wall effects in axially rotating pipe flow by elliptic relaxation
,”
AIAA J.
36
,
1164
(
1998
).
21.
D. B. Spalding, GENMIX: A General Computer Program for Two-Dimensional Parabolic Phenomena (Pergamon, New York, 1977).
22.
A. A. Townsend, The Structure of Turbulent Shear Flow (Cambridge University Press, Cambridge, 1956).
23.
J.
Kim
,
P.
Moin
, and
R.
Moser
, “
Turbulence statistics in fully developed channel flow at low Reynolds number
,”
J. Fluid Mech.
177
,
133
(
1987
).
24.
R. D.
Moser
,
J.
Kim
, and
N. N.
Mansour
, “
Direct numerical simulation of turbulent channel flow up to Reτ=590,
Phys. Fluids
11
,
943
(
1999
).
25.
J.
Jiménez
and
A.
Pinelli
, “
The autonomous cycle of near-wall turbulence
,”
J. Fluid Mech.
389
,
335
(
1999
).
26.
K.
Nishibori
,
K.
Kikuyama
, and
M.
Murakami
, “
Laminarization of turbulent flow in the inlet region of an axially rotating pipe
,”
Bull. JSME
30
,
255
(
1987
).
27.
J. Laufer, “The structure of turbulence in fully developed pipe flow,” NASA Report No. 1174, 1954.
28.
A. F.
Kurbatskii
and
S. V.
Poroseva
, “
Modelling turbulent diffusion in a rotating cylindrical pipe flow
,”
Int. J. Heat Fluid Flow
20
,
341
(
1999
).
29.
C. G.
Speziale
,
B. A.
Younis
, and
S. A.
Berger
, “
Analysis and modeling of turbulent flow in an axially rotating pipe
,”
J. Fluid Mech.
407
,
1
(
2000
).
This content is only available via PDF.
You do not currently have access to this content.