Abstract

The internal cooling passage of a gas turbine blade has been modeled as a ribbed channel. In the present study, we consider two different rib geometries, i.e., square and semicircle ribs, in order to investigate their thermal and aerodynamic performance. Large eddy simulations (LESs) of turbulent flow in a ribbed channel with a dynamic subgrid-scale model are performed. In our simulation, the no-slip and no-jump conditions on the rib surface are satisfied in the Cartesian coordinates using an immersed boundary method. In order to validate the simulation results, an experimental study is also conducted, where the velocity and temperature fields are measured using a hot wire and a thermocouple, respectively, and the surface heat transfer is measured using the thermochromic liquid crystal. LES predicts the detailed flow and thermal features, such as the turbulence intensity around the ribs and the local heat transfer distribution between the ribs, which have not been captured by simulations using turbulence models. By investigating the instantaneous flow and thermal fields, we propose the mechanisms responsible for the local heat transfer distribution between the ribs, i.e., the entrainment of the cold fluid by vortical motions and the impingement of the entrained cold fluid on the ribs. We also discuss the local variation of the heat transfer with respect to the rib geometry in connection with flow separation and turbulent kinetic energy. The total drag and heat transfer are calculated and compared between the square and semicircle ribs, showing that two ribs produce nearly the same heat transfer, but the semicircle one yields lower drag than the square one.

1.
Lakshminarayana, B., 1996, Fluid Dynamics and Heat Transfer of Turbomachinery, Wiley, New York, pp. 315–322.
2.
Han
,
J. C.
,
1984
, “
Heat Transfer and Friction in Channels With Two Opposite Rib Roughened Walls
,”
ASME J. Heat Transfer
,
106
, pp.
774
781
.
3.
Cho, H. H., Wu, S. J., and Kim, W. S., 1998, “A Study on Heat Transfer Characteristics in a Rib-Roughened Rectangular Duct,” Proc. of 11th Int. Symp. on Transport Phenomena, Hsinchu, Taiwan, pp. 364–369.
4.
Liou
,
T.-M.
, and
Hwang
,
J.-J.
,
1993
, “
Effect of Ridge Shapes on Turbulent Heat Transfer and Friction in a Rectangular Channel
,”
Int. J. Heat Mass Transfer
,
36
(
4
), pp.
931
940
.
5.
Taslim
,
M. E.
, and
Korotky
,
G. J.
,
1998
, “
Low-Aspect-Ratio Rib Heat Transfer Coefficient Measurements in a Square Channel
,”
ASME J. Turbomach.
,
120
, pp.
831
838
.
6.
Acharya
,
S.
,
Dutta
,
S.
,
Myrum
,
T.
, and
Baker
,
R. S.
,
1993
, “
Periodically Developed Flow and Heat Transfer in a Ribbed Duct
,”
Int. J. Heat Mass Transfer
,
36
, pp.
2069
2082
.
7.
Ciafalo
,
M.
, and
Collins
,
M. W.
,
1992
, “
Large Eddy Simulation of Turbulent Flow and Heat Transfer in Plane and Rib-Roughened Channels
,”
Int. J. Numer. Methods Fluids
,
15
, pp.
453
489
.
8.
Murata
,
A.
, and
Mochizuki
,
S.
,
2000
, “
Large Eddy Simulation With a Dynamic Subgrid-Scale Model of Turbulent Heat Transfer in an Orthogonally Rotating Rectangular Duct With Transverse Rib Turbulators
,”
Int. J. Heat Mass Transfer
,
43
, pp.
1243
1259
.
9.
Germano
,
M.
,
Piomelli
,
U.
,
Moin
,
P.
, and
Cabot
,
W.
,
1991
, “
A Dynamic Subgrid-Scale Eddy Viscosity Model
,”
Phys. Fluids A
,
3
(
7
), pp.
1760
1765
.
10.
Lilly
,
D. K.
,
1992
, “
A Proposed Modification of the Germano Subgrid-Scale Closure Model
,”
Phys. Fluids A
,
4
, pp.
633
635
.
11.
Cabot, W. and Moin, P., 1993, “Large Eddy Simulation of Scalar Transport With the Dynamic Subgrid-Scale Model,” Large Eddy Simulation of Complex Engineering and Geophysical Flows, Cambridge Univ. Press, Cambridge, England, pp. 141–158.
12.
Kim
,
J.
,
Kim
,
D.
, and
Choi
,
H.
,
2001
, “
An Immersed-Boundary Finite-Volume Method for Simulations of Flow in Complex Geometries
,”
J. Comput. Phys.
,
171
, pp.
132
150
.
13.
Kim
,
J.
, and
Choi
,
H.
,
2004
, “
An Immersed-Boundary Finite-Volume Method for Simulations of Heat Transfer in Complex Geometries
,”
KSME Int. J.
,
18
(
6
), pp.
1026
1035
.
14.
Kline
,
J. S.
, and
McClintock
,
F. A.
,
1953
, “
Describing Uncertainties in Single Sample Experiments
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
,
75
, pp.
3
8
.
15.
Liou
,
T.-M.
,
Yang
,
C.-P.
, and
Lee
,
H.-L.
,
1997
, “
LDV Measurements of Spatially Periodic Flow Over a Detached Solid-Rib Array
,”
ASME J. Fluids Eng.
,
119
, pp.
383
389
.
16.
Tanaka
,
M.
, and
Kida
,
S.
,
1993
, “
Characterization of Vortex Tubes and Sheets
,”
Phys. Fluids A
,
5
, pp.
2079
2082
.
17.
Srinivasan, V., Simon, T. W., and Goldstein, R. J., 2001, “Synopsis,” Heat Transfer in Gas Turbine Systems, R. J., Goldstein, ed., The New York Academy of Science, New York, pp. 1–10.
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