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TECHNICAL PAPERS

Modeling of Flow Transition Using an Intermittency Transport Equation

[+] Author and Article Information
Y. B. Suzen, P. G. Huang

Department of Mechanical Engineering, 521 CRMS Building, University of Kentucky, Lexington, KY 40506-0108

J. Fluids Eng 122(2), 273-284 (Feb 08, 2000) (12 pages) doi:10.1115/1.483255 History: Received April 29, 1999; Revised February 08, 2000
Copyright © 2000 by ASME
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References

Savill, A. M., 1993, “Some Recent Progress in The Turbulence Modeling of By-Pass Transition,” Near-Wall Turbulent Flows, R. M. C. So, C. G. Speziale and B. E. Launder, eds., Elsevier Science, pp. 829–848.
Savill, A. M., 1993, “Further Progress in The Turbulence Modeling of By-Pass Transition,” Engineering Turbulence Modeling and Experiments 2, W. Rodi and F. Martelli, eds., Elsevier Science, pp. 583–592.
Westin,  K. J. A., and Henkes,  R. A. W. M., 1997, “Application of Turbulence Models to Bypass Transition,” ASME J. Fluids Eng., 119, pp. 859–866.
Dhawan,  S., and Narasimha,  R., 1958, “Some Properties of Boundary Layer During the Transition from Laminar to Turbulent Flow Motion,” J. Fluid Mech., 3, pp. 418–436.
Gostelow,  J. P., Blunden,  A. R., and Walker,  G. J., 1994, “Effects of Free-Stream Turbulence and Adverse Pressure Gradients on Boundary Layer Transition,” ASME J. Turbomach., 116, pp. 392–404.
Solomon, W. J., Walker, G. J., and Gostelow, J. P., 1995, “Transition Length Prediction for Flows with Rapidly Changing Pressure Gradients,” ASME Paper ASME-95-GT-241, International Gas Turbine and Aeroengine Congress & Exposition, Houston, Texas, June 5–8.
Chen,  K. K., and Thyson,  N. A., 1971, “Extension of Emmons’ Spot Theory to Flows on Blunt Bodies,” AIAA J., 9, No. 5, pp. 821–825.
Steelant,  J., and Dick,  E., 1996, “Modelling of Bypass Transition with Conditioned Navier-Stokes Equations Coupled to an Intermittency Transport Equation,” Int. J. Numer. Methods Fluids, 23, pp. 193–220.
Cho,  J. R., and Chung,  M. K., 1992, “A k−ε−γ Equation Turbulence Model,” J. Fluid Mech., 237, pp. 301–322.
Launder,  B. E., and Sharma,  B. I., 1974, “Application of the Energy Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc,” Lett. Heat Mass Transfer, 1, pp. 131–138.
Wilcox,  D. C., 1988, “Reassessment of the Scale-Determining Equation for Advanced Turbulence Models,” AIAA J., 26, No. 11, pp. 1299–1310.
Menter,  F. R., 1994, “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications,” AIAA J., 32, No. 8August, pp. 1598–1605.
Narasimha,  R., 1985, “The Laminar-Turbulent Transition Zone in the Boundary Layer,” Prog. Aerosp. Sci., 22, pp. 29–80.
Mayle,  R. E., 1991, “The Role of Laminar-Turbulent Transition in Gas Turbine Engines,” ASME J. Turbomach., 113, pp. 509–537.
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.
Klebanoff, P. S., 1955, “Characteristics of Turbulence in a Boundary Layer with Zero Pressure Gradient,” NACA Report No. 1247.
Sohn, Ki-Hyeon and Reshotko, Eli, 1991, “Experimental Study of Boundary Layer Transition With Elevated Freestream Turbulence on a Heated Flat Plate,” NASA CR-187068.
Gostelow,  J. P., and Walker,  G. J., 1991, “Similarity Behavior in Transitional Boundary Layers Over a Range of Adverse Pressure Gradients and Turbulence Levels,” ASME J. Turbomach., 113, pp. 617–625.
Suzen, Y. B., and Huang, P. G., 2000, “An Intermittency Transport Equation for Modeling Flow Transition,” AIAA Paper AIAA-2000-0287, 38th Aerospace Sciences Meeting and Exhibit, Reno, NV, January 10–13.
Libby,  P. A., 1975, “On the Prediction of Intermittent Turbulent Flows,” J. Fluid Mech., 68, Part 2, pp. 273–295.
Simon, F. F., and Stephens, C. A., 1991, “Modeling of the Heat Transfer in Bypass Transitional Boundary-Layer Flows,” NASA Technical Paper 3170.
Suzen, Y. B., Xiong, G., and Huang, P. G., 2000, “Predictions of Transitional Flows in a Low-Pressure Turbine Using an Intermittency Transport Equation,” AIAA Paper AIAA-2000-2654, Fluids 2000 Conference, Denver, Colorado, June 19–22.

Figures

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Intermittency factor profiles for T3A case
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Streamwise intermittency factor distribution for T3A case
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Comparison of velocity profiles at two stations (a) comparison of velicity profiles at Reθ=1000 (b) comparison of velocity profiles at Reθ=5000
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Comparison of freestream turbulence intensity for T3B case
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Comparison of skin-friction coefficient for T3B case
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Comparison of Reynolds number based on momentum-thickness for T3B case
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Comparison of shape factor for T3B case
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Intermittency factor profiles for T3B case
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Pressure coefficient distributions for T3C1 and T3C2 cases
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Comparison of freestream turbulence intensity for T3C1 case
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Comparison of skin-friction coefficient for T3C1 case
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Comparison of Reynolds number based on momentum-thickness for T3C1 case
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Comparison of shape factor for T3C1 case
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Intermittency factor profiles for T3C1 case
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Comparison of freestream turbulence intensity for T3C2 case
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Comparison of skin-friction coefficient for T3C2 case
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Comparison of Reynolds number based on momentum-thickness for T3C2 case
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Comparison of shape factor for T3C2 case
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Intermittency factor profiles for T3C2 case
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Variation of γ profiles through transition (Sohn and Reshotko 17)
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Comparison of freestream turbulence intensity for T3A case
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Comparison of skin-friction coefficient for T3A case
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Comparison of Reynolds number based on momentum-thickness for T3A case
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Comparison of shape factor for T3A case
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Mean streamwise velocity profiles for T3A case (a) Rex=134800 (b) Rex=203500 (c) Rex=273500 (d) Rex=418900
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Fluctuating streamwise velocity component profiles for T3A case (a) Rex=134800 (b) Rex=203500 (c) Rex=273500 (d) Rex=418900

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