The predictive capability of Detached Eddy Simulations (DES) is investigated in stationary as well as rotating ribbed ducts with relevance to the internal cooling of turbine blades. A number of calculations are presented at and rotation numbers ranging from 0.18 to 0.67 with buoyancy parameters up to 0.29 in a ribbed duct with ribs normal to the main flow direction. The results show that DES by admitting a LES solution in critical regions transcends some of the limitations of the base RANS model on which it is based. This feature of DES is exemplified by its sensitivity to turbulence driven secondary flows at the rib side-wall junction, to the effect of Coriolis forces, and centrifugal buoyancy effects. It is shown that DES responds consistently to these non-canonical effects when RANS and URANS with the same model cannot, at a cost which is about a tenth of that of LES for the geometry and Reynolds number considered in this study.
1.
Spalart
, P. R.
, Jou
, W. H.
, Streletes.
, M.
, and Allmaras.
, S. R.
, 1997, “Comments on the Feasibility of LES for Wings and a Hybrid RANS/LES Approach
,” First AFSOR Int. Conf. on DNS/LES
, Aug. 4–8, in Advances in DNS/LES
, C.
Liu
and Z.
Liu
, Eds., Greyden Press
, Columbus, OH.2.
Strelets
, M.
, 2001, “Detached Eddy Simulation of Massively Separated Flows
,” AIAA Paper No. 2001-0879.3.
Shur
, M.
, Spalart
, P. R.
, Strelets
, P. R.
, and Travin
, A.
, 1999, “Detached-Eddy Simulation of an Airfoil at High Angle of Attack
,” 4th Int. Symposium on Eng. Turb. Modelling and Experiments
, May 24–26, Corsica, W.
Rodi
and D.
Laurence
, eds., Elsevier, Amsterdam.4.
Travin
, A.
, Shur
, M. L.
, Strelets
, M.
, and Spalart
, P. R.
, 2000, “Detached Eddy Simulation Past a Circular Cylinder
,” Flow, Turbul. Combust.
1386-6184, 63
, pp. 193
–313
.5.
Constantinescu
, G.
, and Squires
, K. D.
, 2000, “LES and DES Investigations of Turbulent Flow Over a Sphere
,” AIAA Paper No. AIAA-2000-0540.6.
Constantinescu
, G. S.
, Pacheco
, R.
, and Squires
, K. D.
, 2002, “Detached-Eddy Simulation of Flow Over a Sphere
,” AIAA Paper No. 2002-0425.7.
Viswanathan
, A. K.
, Squires
, K. D.
, Klismith
, K.
, and Forsythe
, J. R.
, 2003, “Detached-Eddy Simulation Around a Forebody at High Angle of Attack
,” AIAA Paper No. 2003-0263.8.
Kotapati-Apparao
, R. B.
, Squires
, K. D.
, and Forsythe
, J. R.
, 2003, “Prediction of a Prolate Spheroid Undergoing a Pitchup Maneuver
,” AIAA Paper No. 2003-0269.9.
Forsythe
, J. R.
, Squires
, K. D.
, Wurtzler
, K. E.
, and Spalart
, P. R.
, 2002, “Detached-Eddy Simulation of Fighter Aircraft at High Alpha
,” AIAA Paper No. 2002-0591.10.
Morton
, S. A.
, Steenman
, M. B.
, Cummings
, R. M.
, and Forsythe
, J. R.
, 2003, “DES Grid Resolution Issues for Vertical Flows on a Delta Wing and an F-18C
,” AIAA Paper No. 2003-1103.11.
Squires
, K. D.
, Forsythe
, J. R.
, Morton
, S. A.
, Blake
, D. C.
, Serrano
, M.
, Wurtzler
, K. E.
, Strang
, W. E.
, Tomaro
, R. F.
, and Spalart
, P. R.
, 2002, “Analysis of Full Aircraft With Massive Separation Using Detached-Eddy Simulation
,” Proceedings of the High Performance Computing Modernization Program 2002 Users Group Conference
, Austin, TX
, June 9–14.12.
Kapadia
, S.
, Roy
, S.
, Vallero
, M.
, Wurtzler
, K. E.
, and Forsythe
, J. R.
, 2003, “Detached Eddy Simulation Over a Reference Ahmed Car Model
,” AIAA Paper No. 2003-0857.13.
Nikitin
, N. V.
, Nicoud
, F.
, Wasistho
, B.
, Squires
, K. D.
, and Spalart
, P. R.
, 2000, “An Approach to Wall Modeling in Large-Eddy Simulation
,” Phys. Fluids
1070-6631, 12
(7
), pp. 1629
–1632
.14.
Menter
, F. R.
, 1992, “Improved Two-Equation k-ω Turbulence Models for Aerodynamic Flows
,” NASA Technical Memorandum 103975.15.
Menter
, F. R.
, 1993, “Zonal Two Equation k-ω Turbulence Models for Aerodynamic Flows
,” AIAA Paper No. 93-2906.16.
Saidi
, A.
, and Sunden
, B.
, 2001, “On Prediction of Thermal-Hydraulic Characteristics of Square-Sectioned Ribbed Cooling Ducts
,” ASME J. Turbomach.
0889-504X, 123
, pp. 614
–621
.17.
Jia
, R.
, Saidi
, A.
, and Sunden
, B.
, 2002, “Heat Transfer Enhancement in Square Duct With V-Shaped Ribs of Various Angles
,” ASME Paper No. GT 2002-3029, ASME Turbo Expo 2002, June 3–6, Amsterdam, The Netherlands.18.
Jia
, R.
, Saidi
, A.
, and Sunden
, B.
, 2003, “Heat Transfer Enhancement in Square Duct With V-shaped Ribs
,” ASME J. Turbomach.
0889-504X, 125
, pp. 788
–791
.19.
Jia
, R.
, Sunden
, B.
, and Faghri
, M.
, 2005, “Computational Analysis of Heat Transfer Enhancement in Square Ducts With V-shaped Ribs: Turbine Blade Cooling
,” ASME J. Heat Transfer
0022-1481, 127
, pp. 425
–433
.20.
Iacovides
, H.
, and Raisee
, M.
, 1999, “Recent Progress in the Computation of Flow and Heat Transfer in Internal Cooling Passages of Turbine Blades
,” Int. J. Heat Fluid Flow
0142-727X, 20
, pp. 320
–328
.21.
Iaccarino
, G.
, Ooi
, A.
, Pettersson Rief
, B. A.
, and Durbin
, P.
, 1999, “RANS Simulations of Rotating Flows
,” Center of Turbulence Research, Annual Research Briefs, pp. 257
–266
.22.
Ooi
, A.
, Iaccarino
, G.
, Durbin
, P. A.
, and Behnia
, M.
, 2002, “Reynolds Averaged Simulation of Flow and Heat Transfer in Ribbed Ducts
,” Int. J. Heat Fluid Flow
0142-727X, 23
, pp. 750
–757
.23.
Prakash
, C.
, and Zerkle
, R.
, 1992, “Prediction of Turbulent Flow and Heat Transfer in a Radially Rotating Square Duct
,” ASME J. Turbomach.
0889-504X 114
, pp. 835
–846
.24.
Jang
, Y. J.
, Chen
, H. C.
, and Han
, J. C.
, 2001, “Flow and Heat Transfer in a Rotating Square Channel With 45deg Angled Ribs by Reynolds Stress Turbulence Model
,” ASME J. Turbomach.
0889-504X, 123
(1
), pp. 124
–132
.25.
Chen
, H. C.
, Jang
, Y. J.
, and Han
, J. C.
, 1999, “Computation of Flow and Heat Transfer in a Rotating Two-Pass Square Channel by a Reynolds Stress Model
,” ASME Paper No. 99-GT-174.26.
Su
, G.
, Teng
, S.
, Chen
, H. C.
, and Han
, J. C.
, 2003, “Computation of Flow and Heat Transfer in Rotating Rectangular Channels (AR=4) With V-shaped Ribs by a Reynolds Stress Turbulence Model
,” ASME Paper No. GT 2003-38348, ASME Turbo Expo 2003, June 16–19, Atlanta, GA.27.
Iacovides
, H.
, 1998, “Computation of Flow and Heat Transfer Through Rotating Ribbed Passage
,” Int. J. Heat Fluid Flow
0142-727X, 19
, pp. 393
–400
.28.
Iacovides
, H.
, Launder
, B. E.
, and Li
, H. Y.
, 1996, “The Computation of Flow Development Through Stationary and Rotating U-Ducts of Strong Curvature
,” Int. J. Heat Fluid Flow
0142-727X, 17
, pp. 22
–33
.29.
Murata
, A.
, and Mochizuki
, S.
, 2001, “Comparison Between Laminar and Turbulent Heat Transfer in Stationary Square Ducts With Transverse or Angled Rib Turbulators
,” Int. J. Heat Mass Transfer
0017-9310, 44
, pp. 1127
–1141
.30.
Watanabe
, K.
, and Takahashi
, T.
, 2002, “LES Simulation and Experimental Measurement of Fully Developed Ribbed Channel Flow and Heat Transfer
,” Proceedings of the ASME Turbo Expo
, Amsterdam, The Netherlands
, June.31.
Tafti
, D. K.
, 2005, “Large Eddy Simulations of Heat Transfer in A Ribbed Channel for Internal Cooling of Turbine Blades
,” Int. J. Heat Fluid Flow
0142-727X, 26
(1
), pp. 92
–104
.32.
Abdel-Wahab
, S.
, and Tafti
, D. K.
, 2004, “Large Eddy Simulations of Flow and Heat Transfer in a 90° Ribbed Duct With Rotation—Effect of Coriolis and Centrifugal Buoyancy Forces
,” ASME J. Turbomach.
0889-504X, 126
, pp. 627
–636
.33.
Abdel-Wahab
, S.
, and Tafti
, D. K.
, 2004, “Large Eddy Simulation of Flow and Heat Transfer in a Staggered 45degrees Ribbed Duct
,” Proc. ASME Turbo Expo, Paper No. 2004-GT-53800.34.
Sewall
, E. A.
, and Tafti
, D. K.
, 2004, “Large Eddy Simulation of the Developing Region of a Rotating Ribbed Internal Turbine Blade Cooling Channel
,” ASME Turbo Expo: 2004, Vienna, Austria, ASME Paper No. GT2004-53833.35.
Sewall
, E. A.
, and Tafti
, D. K.
, 2007, “Large Eddy Simulation of Flow and Heat Transfer in the Developing Flow Region of a Rotating Gas Turbine Blade Internal Cooling Duct With Coriolis and Buoyancy Forces
,” ASME J. Turbomach., accepted for publication.36.
Saha
, A. K.
, and Acharya
, S.
, 2005, “Flow and Heat Transfer in an Internally Ribbed Duct With Rotation: An Assessment of Large Eddy Simulations and Unsteady Reynolds-Averaged Navier-Stokes Simulations
,” ASME J. Turbomach.
0889-504X, 127
(2
), pp. 306
–320
.37.
Cui
, J.
, and Tafti
, D. K.
, 2002, “Computations of Flow and Heat Transfer in a Three-Dimensional Multilouvered Fin Geometry
,” Int. J. Heat Mass Transfer
0017-9310, 45
, pp. 5007
–5023
.38.
Sewall
, E. A.
, and Tafti
, D. K.
, 2004, “Large Eddy Simulation of Developing Region of a Stationary Ribbed Internal Turbine Blade Cooling Channel
,” ASME Turbo Expo: 2004, Vienna, Austria, ASME Paper No. GT2004-53832.39.
Sewall
, E. A.
, Tafti
, D. K.
, Graham
, A.
, and Thole
, K. A.
, 2006, “Experimental Validation of Large Eddy Simulation of Flow and Heat Transfer in a Stationary Ribbed Duct
,” Int. J. Heat Fluid Flow
0142-727X, 27
(2
), pp. 243
–258
.40.
Sewall
, E. A.
, and Tafti
, D. K.
, 2006, “Large Eddy Simulation of Flow and Heat Transfer in the 180Degree Bend Region of a Stationary Gas Turbine Blade Ribbed Internal Cooling Duct
,” ASME J. Turbomach.
0889-504X, 128
(4
), pp. 763
–771
.41.
Tafti
, D. K.
, 2001, “GenIDLEST—A Scalable Parallel Computational Tool for Simulating Complex Turbulent Flows, Proc. ASME Fluids Engineering Division
,” FED Vol. 256
, ASME-IMECE, New York.42.
Viswanathan
, A. K.
, and Tafti
, D. K.
, 2005, “Detached Eddy Simulation of Turbulent Flow and Heat Transfer in a Duct
,” ASME J. Fluids Eng.
0098-2202, 127
(5
), pp. 888
–896
.43.
Rau
, G.
, Cakan
, M.
, Moeller
, D.
, and Arts
, T.
, 1998, “The Effect of Periodic Ribs on Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel
,” ASME J. Turbomach.
0889-504X, 120
, pp. 368
–375
.44.
Halleen
, R. M.
, and Johnston
, J. P.
, 1967, “The Influence of Rotation of Flow in a Long Rectangular Channel—An Experimental Study
,” Report MD-18, Thermosciences Division, Dept. of Mech. Eng., Stanford University.45.
Lezius
, D. K.
, and Johnston
, J. P.
, 1976, “Roll-Cell Instabilities in Rotating Laminar and Turbulent Channel Flows
,” J. Fluid Mech.
0022-1120, 77
(1
), pp. 153
–175
.46.
Rothe
, P. H.
, and Johnston
, J. P.
, 1979, “Free Shear Layer Behavior in Rotating Systems
,” ASME J. Fluids Eng.
0098-2202, 101
, pp. 117
–120
.47.
Viswanathan
, A. K.
, 2006, “Detached Eddy Simulation of Turbulent Flow and Heat Transfer in Turbine Blade Internal Cooling Ducts
,” Ph.D. dissertation, Virginia Polytechnic Institute and State University, Blacksburg, VA.48.
Nilsen
, P. J.
, and Andersson
, H. I.
, 1990, “Rotational Effects on Sudden-Expansion Flows
,” Proc. of Int. Sym, Dubrovnik, Yogoslavia, in Engineering Turbulence Modelling and Experiments
, Elsevier Science
, Rodi and Ganić
, pp. 65
–72
, September 24–28.49.
Viswanathan
, A. K.
, and Tafti
, D. K.
, 2006, “Detached Eddy Simulation of Turbulent Flow and Heat Transfer in a Fully-Developed Duct Subjected to Rotation
,” Int. J. Heat Fluid Flow
0142-727X, 27
(3
), pp. 351
–370
.50.
Wagner
, J. H.
, Johnson
, B. V.
, Graziani
, R. A.
, and Yeh
, F. C.
, 1992, “Heat Transfer in Rotating Serpentine Passages With Trips Normal to the Flow
,” ASME J. Turbomach.
0889-504X 114
, pp. 847
–857
.51.
Liou
, T. M.
, Chen
, M. Y.
, and Tsai
, M. H.
, 2001, “Fluid Flow and Heat Transfer in a Rotating Two-Pass Square Duct With In-Line 90° Ribs
,” ASME Turbo Expo, ASME Paper No. 2001-GT-0185.52.
Parsons
, J. A.
, Han
, J. C.
, and Zang
, Y. M.
, 1994, “Wall Heating Effect on Local Heat Transfer in a Rotating Two-Pass Square Channel With 90° Rib Turbulators
,” Int. J. Heat Mass Transfer
0017-9310, 37
, pp. 1411
–1420
.53.
Grand
, D.
, 1975, “Contribution a l’etude des courant de recirculation
,” PhD thesis, L’Universite Scientifique et Medicale et Institut Nationale, Polytechnique, Grenoble, France.54.
Ideriah
, F. J. K.
, 1980, “Prediction of Turbulent Cavity Flow Driven By Buoyancy and Shear
,” J. Mech. Eng. Sci.
0022-2542, 22
(6
), pp. 287
–295
.Copyright © 2007
by American Society of Mechanical Engineers
You do not currently have access to this content.
