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TECHNICAL PAPERS

Prediction of Transitional Heat Transfer Characteristics of Wake-Affected Boundary Layers

[+] Author and Article Information
K. Kim, M. E. Crawford

Mechanical Engineering Department, The University of Texas at Austin, Austin, TX 78712

J. Turbomach 122(1), 78-87 (Feb 01, 1999) (10 pages) doi:10.1115/1.555430 History: Received February 01, 1999
Copyright © 2000 by ASME
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References

Pfeil, H., and Herbst, R., 1979, “Transition Procedure of Instationary Boundary Layers,” ASME Paper No. 79-GT-128.
Pfeil,  H., Herbst,  R., and Schröder,  T., 1983, “Investigation of the Laminar–Turbulent Transition of Boundary Layers Disturbed by Wakes,” ASME J. Turbomach., 105, pp. 130–137.
Dullenkopf,  K., Schulz,  A., and Wittig,  S., 1991, “The Effect of Incident Wake Conditions on the Mean Heat Transfer of an Airfoil,” ASME J. Turbomach., 113, pp. 412–418.
Liu,  X., and Rodi,  W., 1991, “Experiments on Transitional Boundary Layers With Wake-Induced Unsteadiness,” J. Fluid Mech., 231, pp. 229–256.
Orth,  U., 1993, “Unsteady Boundary-Layer Transition in Flow Periodically Disturbed by Wakes,” ASME J. Turbomach., 115, pp. 707–713.
Funazaki, K., Kitazawa, T., Koizumi, K., and Tadashi, T., 1997, “Studies on Wake-Disturbed Boundary Layers Under the Influences of Favorable Pressure Gradient and Free-Stream Turbulence: Part I—Experimental Setup and Discussions on Transition Model,” ASME Paper No. 97-GT-451.
Chakka,  P., and Schobeiri,  M. T., 1999, “Modeling Unsteady Boundary Layer Transition on a Curved Plate Under Periodic Unsteady Conditions: Aerodynamics and Heat Transfer Investigations,” ASME J. Turbomach., 121, pp. 88–97.
Halstead,  D. E., Wisler,  D. C., Okiishi,  T. H., Walker,  G. J., Hodson,  H. P., and Shin,  H.-W., 1997, “Boundary Layer Development in Axial Compressors and Turbines: Part 1 of 4: Composite Picture,” ASME J. Turbomach., 119, pp. 114–127.
Mayle,  R. E., and Dullenkopf,  K., 1990, “A Theory for Wake-Induced Transition,” ASME J. Turbomach., 112, pp. 188–195.
Mayle,  R. E., and Dullenkopf,  K., 1991, “More on the Turbulent-Strip Theory for Wake-Induced Transition,” ASME J. Turbomach., 113, pp. 428–432.
Hodson,  H. P., Addison,  J. S., and Shepherdson,  C. A., 1992, “Models for Unsteady Wake-Induced Transition in Axial Turbomachines,” J. Phys. III, 2, pp. 545–574.
Funazaki,  K., 1996, “Unsteady Boundary Layers on a Flat Plate Disturbed by Periodic Wakes: Part I—Measurement of Wake-Affected Heat Transfer and Wake-Induced Transition Model,” ASME J. Turbomach., 118, pp. 327–336.
Tran,  L. T., and Taulbee,  D. B., 1992, “Prediction of Unsteady Rotor-Surface Pressure and Heat Transfer From Wake Passings,” ASME J. Turbomach., 114, pp. 807–817.
Cho,  N.-H., Liu,  X., Rodi,  W., and Schönung,  B., 1993, “Calculation of Wake-Induced Unsteady Flow in a Turbine Cascade,” ASME J. Turbomach., 115, pp. 675–686.
Fan,  S., and Lakshminarayana,  B., 1996, “Computation and Simulation of Wake-Generated Unsteady Pressure and Boundary Layers in Cascades: Part I—Description of the Approach and Validation,” ASME J. Turbomach., 118, pp. 96–108.
Kim, K., and Crawford, M. E., 1998, “Prediction of Unsteady Wake-Passing Effects on Boundary Layer Development,” Heat Transfer in Turbomachinery, ASME HTD-Vol. 361/PID-Vol. 3, p. 399.
Abu-Ghannam,  B. J., and Shaw,  R., 1980, “Natural Transition of Boundary Layers—The Effects of Turbulence, Pressure Gradient and Flow History,” J. Mech. Eng. Sci., 22, No. 5, pp. 213–228.
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Figures

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Development of turbulent strips on the wake-affected surface
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Convection of turbulent strips and free-stream velocity defect due to the wake-passing
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Intermittent function for the transition model as a function of time
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Time-dependent variation of displacement thickness and friction coefficient in oscillating turbulent boundary layer: symbols show the measurements by Parikh et al. 22; solid lines show the computations
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Modeled free-stream velocity defects for case 3 using Gaussian distribution; symbols show the measurements at y=15 mm by Liu and Rodi 4
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Time-resolved variation of boundary layer parameters for case 3 of the measurements by Liu and Rodi 4; symbols show the measurements; solid lines show the predictions with free-stream velocity defect and dotted lines without free-stream velocity defect
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Periodic fluctuation of ensemble-averaged boundary layer velocity for case 3 of the measurements by Liu and Rodi 4; symbols show the measurements; solid lines show the predictions with free-stream velocity defect and dotted lines without free-stream velocity defect
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Profiles of rms velocity of periodic fluctuation for case 3 of the measurements by Liu and Rodi 4; symbols show the measurements; solid lines show the predictions with free-stream velocity defect and dotted lines without free-stream velocity defect
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Predicted velocity defect contours for case 3 of the measurements by Liu and Rodi 4
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Free-stream velocity distributions from the measurements by Funazaki et al. 6
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Stanton number variations for the cases of no wakes: symbols show the measurements by Funazaki et al. 6; solid lines show the steady boundary layer predictions
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Time-averaged Stanton number distributions for the cases of normal rotation; symbols show the measurements of Funazaki et al. 6 (•: no wake, ○: S=1.88, ▵: S=2.83, □: S=5.65, and ▴: fully turbulent); solid lines are the corresponding time-resolved predictions for the cases of wake-passing; dotted lines are the predictions of the steady superposition model for the corresponding wake-passing cases (Eq. (13))
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Comparison of predicted time-averaged Intermittency factor with the measurements 6 for high acceleration cases
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Wake and surface interaction for normal and reverse rotations of wake-passing (adapted from 23)
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Time-averaged Stanton number distributions for the cases of reverse rotation: symbols show the measurements of Funazaki et al. 6 (•: no wake, ○: S=1.88,▵:S=2.83, □: S=5.65, and ▴: fully turbulent); solid lines show the corresponding time-resolved predictions for the cases of wake-passing.
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Time-resolved variations of the boundary layer parameters: (a) normal rotation and (b) reverse rotation; symbols show the measurements by Funazaki and Kitazawa 24; solid lines show the time-resolved predictions

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