The effect of rib orientation on flow and heat transfer in a four-pass square channel with skewed ribs in nonorthogonal-mode rotation was numerically studied by using omega-based Reynolds stress model (SMCω). Two cases are examined: in first case, the ribs are oriented with respect to the main flow direction at an angle of 45deg in the first and third passage and at an angle of +45 deg in the second passage. The second case is identical to the first case with the ribs oriented at angle of +45deg in the three passages. The calculations are carried out for a Reynolds number of 25,000, a rotation number of 0.24, and a density ratio of 0.13. The results show that the secondary flows induced by 45deg ribs and by rotation combine partially destructively in the first and third passage of first case. In contrast, for second case, the secondary flows induced by +45deg ribs and by rotation combine constructively in the first passage, while the flow is dominated by the vortices induced by +45deg ribs in the third passage. In first case, a significant degradation of the heat transfer rate is observed on the coleading side of the first passage and on both cotrailing and coleading sides of the third as compared to second case. Consequently, the rib orientations at +45deg are preferred in the radial outward flowing passage with an acceptable pressure drop. The numerical results are in agreement with the available experimental data.

References

References
1.
Han
,
J. C.
,
Phil
,
L.
, and
Chen
,
H. C.
,
2002
, “
Rotating and Stationary Rectangular Cooling Passage Heat Transfer and Friction With Ribs, Pins, and Dimples
,” Final Report, AGTSR Project No. SR-082, Part I-A.
2.
Webb
,
R. L.
, and
Kim
,
N. H.
,
2005
,
Principles of Enhanced Heat Transfer
, 2nd ed.,
CRC Press
,
Boca Raton, FL
.
3.
Webb
,
R. L.
,
Eckert
,
E. R. G.
, and
Goldstein
,
R. J.
,
1971
, “
Heat Transfer and Friction in Tubes With Repeated Rib Roughness
,”
Int. J. Heat Mass Transfer
,
14
(
4
), pp.
601
617
.
4.
Johnson
,
B. V.
,
Wagner
,
J. H.
, and
Steuber
,
G. D.
,
1993
, “
Effects of Rotation on Coolant Passage Heat Transfer
,” Volume II—Coolant Passages With Trips Normal and Skewed to the Flow, NASA Contractor Report No. 4396
.
5.
Johnson
,
B. V.
,
Wagner
,
J. H.
,
Steuber
,
G. D.
, and
Yeh
,
F. C.
,
1994
, “
Heat Transfer in Rotating Serpentine Passage With Selected Model Orientations for Smooth or Skewed Trip Walls
,”
ASME J. Turbomach.
,
116
(
4
), pp.
738
744
.
6.
Dutta
,
S.
,
Han
,
J. C.
, and
Zhang
,
Y. M.
,
1995
, “
Influence of Rotation on Heat Transfer From a Two-Pass Channel With Periodically Placed Turbulence and Secondary Flow Promoters
,”
Int. J. Rotating Mach.
,
1
(
2
), pp.
129
144
.
7.
Liou
,
T. M.
,
Hwang
,
Y. S.
, and
Li
,
Y. C.
,
2004
, “
Flow Field and Pressure Measurements in a Rotating Two- Pass Duct With Staggered Rounded Ribs Skewed 45 Deg to the Flow
,”
ASME
Paper No. GT2004-53173.
8.
Iacovides
,
H.
,
Jackson
,
D. C.
,
Ji
,
H.
,
Kelemenis
,
G.
,
Launder
,
B. E.
, and
Nikas
,
K.
,
1998
, “
LDA Study of the Flow Developing Through an Orthogonally Rotating U-Bend of Strong Curvature and Rib Roughened Walls
,”
ASME J. Turbomach.
,
120
(
2
), pp.
386
391
.
9.
Parsons
,
J. A.
,
Han
,
J. C.
, and
Zhang
,
Y. M.
,
1995
, “
Effects of Model Orientation and Wall Heating Condition on Local Heat Transfer in a Rotating Two-Pass Square Channel With Rib Turbulators
,”
Int. J. Heat Mass Transfer
,
38
(
7
), pp.
1151
1159
.
10.
Azad
,
G. M. S.
,
Uddin
,
M. J.
,
Han
,
J. C.
,
Moon
,
H. K.
, and
Glezer
,
B.
,
2002
, “
Heat Transfer in Two-Pass Rectangular Rotating Channels With 45 Deg Parallel and Crossed Rib Turbulators
,”
ASME J. Turbomach.
,
124
(
2
), pp.
251
259
.
11.
Tse
,
D. G. N.
, and
Steuber
,
G. D.
,
1997
, “
Flow in a Rotating Square Serpentine Coolant Passage With Skewed Trips
,”
ASME
Paper No. 97-GT-529.
12.
Fann
,
S.
,
Yang
,
W. J.
, and
Nengli
,
Z.
,
1994
, “
Local Heat Transfer in a Rotating Serpentine Passage With Rib-Roughened Surfaces
,”
Int. J. Heal Mass Transfer.
,
37
(
2
), pp.
217
228
.
13.
Rallabandi
,
A.
,
Jiang
,
L.
,
Han
,
J. C.
,
Asad
,
S.
, and
Lee
,
C. P.
,
2014
,“
Heat Transfer Measurements in Rotating Blade–Shape Serpentine Coolant Passage With Ribbed Walls at High Reynolds Numbers
,” ASME J. Turbomach,
136
(
9
), p.
091004
.
14.
Bonhoff
,
B.
,
Tomm
,
U.
,
Johnson
,
B.
, and
Jennions
,
I.
,
1997
, “
Heat Transfer Predictions for Rotating U-Shaped Coolant Channels With Skewed Ribs and With Smooth Walls
,”
ASME
Paper No. 97-GT-162.
15.
Shih
,
T. I. P.
,
Lin
,
Y. L.
,
Stephens
,
M. A.
, and
Chyu
,
M. K.
,
2001
, “
Fluid Flow and Heat Transfer in Coolant Passage
,”
Int. J. Rotating Mach.
,
7
(
5
), pp.
351
364
.
16.
Su
,
G.
,
2005
, “
Numerical Simulation of Flow and Heat Transfer of Internal Cooling Passage in Gas Turbine Blade
,” Ph.D thesis,
Office of Graduate Studies of Texas A&M University
, College Station, TX.
17.
Wei
,
W.
,
Jianmin
,
G.
,
Liang
,
X.
, and
Xiaojun
,
S.
,
2012
, “
Flow and Heat Transfer Characteristics in Rotating Two-Pass Channels Cooled by Superheated Steam
,”
Chin. J. Aeronaut.
,
25
(4), pp.
524
532
.
18.
Sugiyama
,
H.
,
Watanabeb
,
C.
, and
Kato
,
N.
,
2009
, “
Numerical Analyses of Turbulent Flows by Means of Algebraic Reynolds Stress and Turbulent Heat Flux Models
,”
6th ICCHMT
, May 18–21, pp.
1
12
.
19.
Schüler
,
M.
,
Dreher
,
H.-M.
,
Neumann
,
S. O.
,
Weigand
,
B.
, and
Elfert
,
M.
,
2012
, “
Numerical Predictions of the Effect of Rotation on Fluid Flow and Heat Transfer in an Engine-Similar Two-Pass Internal Cooling Channel With Smooth and Ribbed Walls
,”
ASME J. Turbomach.
,
134
(
2
), p.
021021
.
20.
Chu
,
H. C.
,
Chen
,
H. C.
, and
Han
,
J. C.
,
2013
, “
Numerical Simulation of Flow and Heat Transfer in Rotating Cooling Passage With Turning Vane in Hub Region
,”
ASME
Paper No. GT2013-94289.
21.
Rigby
,
D. L.
,
1998
, “
Prediction of Heat and Mass Transfer in a Rotating Ribbed Coolant Passage With a 180 Degree Turn
,”
ASME
Paper No. 98-GT-329.
22.
Jang
,
Y. J.
,
Chen
,
H. C.
, and
Han
,
J. C.
,
2000
, “
Flow and Heat Transfer in a Rotating Square Channel With 45 Deg Angled Ribs by Reynolds Stress Turbulence Model
,”
ASME
Paper No. 2000-GT-0229.
23.
Sleiti
,
A. K.
, and
Kapat
,
J. S.
,
2004
, “
Effect of Coriolis and Centrifugal Forces on the Turbulence and Heat Transfer at High Rotation and Buoyancy Numbers in a Rib-Roughened Internal Cooling Channel
,”
ASME
Paper No. GT2004-53018.
24.
Stephens
,
M. A.
,
Chyu
,
M. K.
, and
Shih
,
T. I.-P.
,
1996
, “
Computation of Convective Heat Transfer in a Square Duct With Inclined Ribs of Rounded Cross Section
,”
ASME
Paper No. 96-WA/HT-12.
25.
Prakash
,
C.
, and
Zerkle
,
R.
,
1995
, “
Prediction of Turbulent Flow and Heat Transfer in a Ribbed Rectangular Duct With and Without Rotation
,”
ASME J. Turbomach.
,
117
(2), pp.
255
264
.
26.
Al-Qahtani
,
M.
,
Jang
,
Y. J.
,
Chen
,
H. C.
, and
Han
,
J. C.
,
2002
, “
Prediction of Flow and Heat Transfer in Rotating Two-Pass Rectangular Channels With 45-Degree Rib Turbulators
,”
ASME J. Turbomach.
,
124
(
2
), pp.
242
250
.
27.
ANSYS
,
2011
, “
ANSYS CFX-Solver Modeling Guide, Release 14.0
,” ANSYS, Inc., Canonsburg, PA.
28.
Kays
,
W. M.
, and
Perkins
,
H. C.
,
1973
, “
Forced Convection, Internal Flow in Ducts
,”
Handbook of Heat Transfer
, W. M. Rohsenow and J. P. Hartnett, eds., McGraw-Hill,
New York
, pp.
7
28
and 7–33.
You do not currently have access to this content.