This paper reports on the prediction of heat transfer in a fully developed turbulent flow in a straight rotating channel with blowing and suction through opposite walls. The channel is rotated about its spanwise axis; a mode of rotation that amplifies the turbulent activity on one wall and suppresses it on the opposite wall leading to reverse transition at high rotation rates. The present predictions are based on the solution of the Reynolds-averaged forms of the governing equations using a second-order accurate finite-volume formulation. The effects of turbulence on momentum transport were accounted for by using a differential Reynolds-stress transport closure. A number of alternative formulations for the difficult fluctuating pressure–strain correlations term were assessed. These included a high turbulence Reynolds-number formulation that required a “wall-function” to bridge the near-wall region as well as three alternative low Reynolds-number formulations that permitted integration through the viscous sublayer, directly to the walls. The models were assessed by comparisons with experimental data for flows in channels at Reynolds-numbers spanning the range of laminar, transitional, and turbulent regimes. The turbulent heat fluxes were modeled via two very different approaches: one involved the solution of a modeled differential transport equation for each of the three heat-flux components, while in the other, the heat fluxes were obtained from an explicit algebraic model derived from tensor representation theory. The results for rotating channels with wall suction and blowing show that the algebraic model, when properly extended to incorporate the effects of rotation, yields results that are essentially identically to those obtained with the far more complex and computationally intensive heat-flux transport closure. This outcome argues in favor of incorporation of the algebraic model in industry-standard turbomachinery codes.

References

References
1.
Gerolymos
,
G. A.
,
Neubauer
,
J.
,
Sharma
,
V. C.
, and
Vallet
,
I.
, 2002, “
Improved Prediction of Turbomachinery Flows Using Near-Wall Reynolds-Stress Model
,”
J. Turbomach.
,
124
, pp.
86
99
.
2.
Dutta
,
S.
,
Malcolm
,
J. A.
, and
Han
,
J. C.
, 1995, “
Prediction of Turbulent Heat Transfer in Rotating Smooth Square Ducts
,”
Int. J. Heat Mass Transfer
,
39
, pp.
2505
2514
.
3.
Prakash
,
C.
, and
Zerkle
,
R.
, 1992, “
Prediction of Turbulent Flow and Heat Transfer in Radially Rotating Square Duct
,”
J. Turbomach.
114
, pp.
835
846
.
4.
Tekriwal
,
P.
, 1994, “
Heat-Transfer Prediction With Extended k-ε Turbulence Model in Radial Cooling Ducts Rotating in Orthogonal Mode
,”
ASME Trans. J.Heat Transfer
,
116
, pp.
369
380
.
5.
Tardu
,
S.
, and
Doche
,
O.
, 2008, “
Turbulent Passive Scalar Transport Under Localized Blowing
,”
J. Visualization
,
11
, pp.
285
298
.
6.
Launder
,
B. E.
,
Tselepidakis
,
D. P
, and
Younis
,
B. A.
, 1987, “
A Second-Moment Closure Study of Rotating Channel Flow
,”
J. Fluid Mech.
,
183
, pp.
63
75
.
7.
Daly
,
B. J.
, and
Harlow
,
F. H.
, 1970, “
Transport Equations in Turbulence
,”
Phys. Fluids
,
13
, pp.
2634
2649
.
8.
Rotta
,
J. C.
, 1951, “
Statistische theorie nichthomogener turbulenz
,”
Z. Phys.
,
129
, pp.
547
572
.
9.
Gerolymos
,
G. A.
, and
Vallet
,
I.
, 2001, “
Wall-Normal-Free Reynolds-Stress Closure for Three-Dimensional Compressible Separated Flows
,”
AIAA J.
,
39
, pp.
1833
1842
.
10.
Launder
,
B. E.
, and
Shima
,
N.
, 1989, “
Second-Moment Closure for the Near-Wall Sublayer: Development and Application
,”
AIAA J.
,
27
, pp.
1319
1325
.
11.
Kebede
,
W.
,
Launder
,
B. E.
, and
Younis
,
B. A.
, 1985, “
Large-Amplitude Periodic Pipe Flow: A Second-Moment Closure Study
,” 5th Symposium on Turbulent Shear Flows, pp. 1623–1629.
12.
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
.
13.
Shir
,
C. C.
, 1973, “
A Preliminary Study of Atmospheric Turbulent Flow in the Idealized Planetary Boundary Layer
,”
J. Atmos. Sci.
,
30
, pp.
1327
1339
.
14.
Malin
,
M. R.
, and
Younis
,
B. A.
, 1990, “
Calculation of Turbulent Buoyant Plumes With a Reynolds Stress and Heat Flux Transport Closure
,”
Int. J. Heat Mass Transfer
,
33
, pp.
2247
2264
.
15.
Younis
,
B. A.
,
Speziale
,
C. G.
, and
Clark
,
T. T.
, 2005, “
A Rational Model for the Turbulent Scalar Fluxes
,”
Proc. R.. Soc. A
,
461
, pp.
575
594
.
16.
Younis
,
B. A.
,
Weigand
,
B.
, and
Spring
,
S.
, 2007, “
An Explicit Algebraic Model for Turbulent Heat Transfer in Wall-Bounded Flow With Streamline Curvature
,”
ASME Trans. J. Heat Transfer
,
129
, pp.
425
433
.
17.
Younis
,
B. A.
,
Weigand
,
B.
, and
Vogler
,
A. D.
, 2009, “
Prediction of Momentum and Scalar Transport in Turbulent Swirling Flows With an Objective Reynolds-Stress Transport Closure
,”
Heat Mass Transfer
,
45
, pp.
1271
1283
.
18.
Younis
,
B. A.
,
Weigand
,
B.
,
Mohr
,
F.
, and
Schmidt
,
M.
, 2010, “
Modeling the Effects of System Rotation on the Turbulent Scalar Fluxes
,”
ASME Trans. J. Heat Transfer
,
132
, pp.
051703
-1–051703-
14
.
19.
Younis
,
B. A.
, 1996, “
EXPRESS: Accelerated Parabolic Reynolds Stress Solver
,”
Hydraulics Section Report
,
City University
,
London
, Report No. HDBAY1.
20.
Kakac
,
S.
,
Shah
,
R. K.
, and
Aung
,
W.
, 1987,
Handbook of Single-Phase Convective Heat Transfer
,
John Wiley & Sons, Inc.
,
New York
.
21.
Kays
,
W. M.
,
Crawford
,
M.
, and
Weigand
,
B.
, 1993, “
Convective Heat and Mass Transfer
,” 4th ed.,
McGraw-Hill
,
New York
.
22.
Tomita
,
Y.
,
Kasagi
,
N.
, and
Kuroda
,
A.
, 1992, “
Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow
,”
ASME Trans J. Heat Transfer
,
114
, pp.
598
606
.
23.
Kasagi
,
N.
, and
Sumitani
,
Y.
, 1995, “
Direct Numerical Simulation of Turbulent Transport With Uniform Wall Injection and Suction
,”
AIAA. J.
,
33
, pp.
1220
1228
.
24.
Johnston
,
J. P.
,
Halleen
,
R. M.
, and
Lezius
,
D. K.
, 1972, “
Effects of Spanwise Rotation on the Structure of Two-Dimensional Fully Developed Turbulent Channel Flow
,”
J. Fluid Mech.
,
56
, pp.
533
557
.
25.
Nishimura
,
M.
, and
Kasagi
,
N.
, 1996, “
Direct Numerical Simulation of Combined Forced and Natural Turbulent Convection in a Rotating Plane Channel
,”
Proceedings of the 3rd KSME-JSME Thermal and Fluid Engineering Conference
,
Kyongju
,
Korea
,
3
, pp.
77
82
.
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