A Correlation-Based Transition Model Using Local Variables—Part II: Test Cases and Industrial Applications

[+] Author and Article Information
R. B. Langtry

 ANSYS CFX Germany, 12 Staudenfeldweg, Otterfing, Bavaria 83624, Germanyrobin.langtry@ansys.com

F. R. Menter

 ANSYS CFX Germany, 12 Staudenfeldweg, Otterfing, Bavaria 83624, Germanyflorian.menter@ansys.com

S. R. Likki

Department of Mechanical Engineering, University of Kentucky, 216A RGAN Building, Lexington, KY 40502–0503srinivas@engr.uky.edu

Y. B. Suzen

Department of Mechanical Engineering, North Dakota State University, Dolve Hall 111, P.O. Box 5285, Fargo, ND 58105suzen@engr.uky.edu

P. G. Huang

Department of Mechanical Engineering, University of Kentucky, 216A RGAN Building, Lexington, kY 40502-0503ghuang@engr.uky.edu

S. Völker

 General Electric Company, One Research Circle, ES-221, Niskayuna, NY 12309voelker@crd.ge.com

J. Turbomach 128(3), 423-434 (Mar 01, 2004) (12 pages) doi:10.1115/1.2184353 History: Received October 01, 2003; Revised March 01, 2004

A new correlation-based transition model has been developed, which is built strictly on local variables. As a result, the transition model is compatible with modern computational fluid dynamics (CFD) methods using unstructured grids and massive parallel execution. The model is based on two transport equations, one for the intermittency and one for the transition onset criteria in terms of momentum thickness Reynolds number. The proposed transport equations do not attempt to model the physics of the transition process (unlike, e.g., turbulence models), but form a framework for the implementation of correlation-based models into general-purpose CFD methods. Part I of this paper (Menter, F. R., Langtry, R. B., Likki, S. R., Suzen, Y. B., Huang, P. G., and Völker, S., 2006, ASME J. Turbomach., 128(3), pp. 413–422) gives a detailed description of the mathematical formulation of the model and some of the basic test cases used for model validation. Part II (this part) details a significant number of test cases that have been used to validate the transition model for turbomachinery and aerodynamic applications, including the drag crisis of a cylinder, separation-induced transition on a circular leading edge, and natural transition on a wind turbine airfoil. Turbomachinery test cases include a highly loaded compressor cascade, a low-pressure turbine blade, a transonic turbine guide vane, a 3D annular compressor cascade, and unsteady transition due to wake impingement. In addition, predictions are shown for an actual industrial application, namely, a GE low-pressure turbine vane. In all cases, good agreement with the experiments could be achieved and the authors believe that the current model is a significant step forward in engineering transition modeling.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 2

Cp distribution for the Zierke (PSU) compressor

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Figure 3

Cf distribution for the Zierke (PSU) compressor

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Figure 1

Contours of turbulence intensity Tu for the Zierke (PSU) compressor

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Figure 4

Heat transfer for the VKI MUR241 (FSTI=6.0%) and MUR116 (FSTI=1.0%) test cases

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Figure 5

Skin friction Cf for the T3LB, T3LC, and T3LD test cases (freestream turbulence intensity=0.63%, 2.39%, and 5.39%)

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Figure 6

Contours of velocity (top) and intermittency (bottom) due to separation induced transition on a circular leading edge for the T3LC test case

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Figure 7

Drag crisis of a cylinder in cross-flow

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Figure 8

Predicted instantaneous skin friction Cf for a cylinder in cross-flow at Reynolds numbers ReD of 100,000, 300,000, and 2,000,000

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Figure 14

Comparison of computed and experimental pressure coefficient distributions for T106 case

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Figure 9

Predicted transition location (x∕C) and drag coefficient as a function of angle of attack for a wind turbine airfoil

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Figure 10

Predicted blade loading for the Pak-B low-pressure turbine at various freestream turbulence intensities (FSTI) and Reynolds numbers

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Figure 11

Fully turbulent (top) and transitional (bottom) skin friction on the suction side of the 3D RGW compressor cascade compared to experimental oil flow visualization (middle, from Shulz and Galas (12), Institute of Jet Propulsion and Turbomachinery, RWTH Aachen University)

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Figure 12

Predicted skin friction (Cf) for the 3D GE low-pressure stator guide vane

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Figure 13

Convergence history for the GE low-pressure stator vane for a fully turbulent (top) and transitional (bottom) computation

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Figure 15

Computed phase-averaged skin friction coefficient distribution on the suction surface of T106 blade

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Figure 16

Comparison of computed and experimental mean velocity profiles at various streamwise locations on the suction surface of T106 blade




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