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Research Papers

# Transition Prediction on Turbine Blade Profile With Intermittency Transport Equation

[+] Author and Article Information

GE Oil&Gas EDC, Warsaw 02-256R, Poland

Witold Elsner, Stanisław Drobniak

Czestochowa University of Technology, Czestochowa 42-200, Poland

J. Turbomach 132(1), 011020 (Sep 21, 2009) (10 pages) doi:10.1115/1.3072716 History: Received October 12, 2008; Revised November 12, 2008; Published September 21, 2009

## Abstract

This paper presents the results of tests and validations of the $γ-Reθ$ model proposed by Menter (2006, “A Correlation-Based Transition Model Using Local Variables—Part I: Model Formation,” ASME J. Turbomach., 128, pp. 413–422), which was extended by in-house correlations for onset location and transition length. The tests performed were based on experimental data from the flat plate test cases available at the ERCOFTAC database as well as on experimental data from the turbine blade profile investigated at Czestochowa University of Technology. Further on, the model was applied for unsteady calculations of the blade profile test case, where chosen inlet conditions (turbulent intensity and wake parameters) were applied. For the selected case, numerical results were compared not only with the experimental data but also with the results obtained with other transition models. It was shown that the applied model was able to reproduce some essential flow features related to the bypass and wake-induced transition, and the simulations revealed good agreement with the experimental results in terms of localization and extent of wake-induced transition.

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## Figures

Figure 1

Influence of FP parameter on transition onset for (a) T3A and (b) T3C5 test cases

Figure 2

Evolution of FP parameter versus Re˜θt max

Figure 3

Distribution of skin friction Cf on the suction side for (a) N3-60-0.4 (Tu=0.4%) and (b) N3-60-4.0 (Tu=4.0%)

Figure 4

Evolution of corrected FP parameter versus Re˜θt max

Figure 5

Influence of Flength parameter on transition onset for (a) T3A and (b) T3C1 test cases

Figure 6

Evolution of Flength parameter versus Re˜θt max

Figure 7

Evolution of skin-friction and shape factor coefficients for the ((a) and (b)) T3A and ((c) and (d)) T3B test cases

Figure 8

Evolution of (a) skin-friction and (b) shape factor coefficients for the test case T3C4

Figure 9

Evolution of (a) pressure coefficient Cp and (b) intermittency γ for the N3-60-0.4 test case (Tu=0.4%)

Figure 10

Evolution of (a) skin-friction and (b) shape factor coefficients for the N3-60-0.4 test case (Tu=0.4%)

Figure 11

Instantaneous solutions of turbulent kinetic energy k for the N3-60-4.0 test case (A, B, C – see explanation in the text)

Figure 12

s-t diagrams over the suction side for N3-60-0.4 (Tu=0.4%) of intermittency (left column) and shape factor (right column)

Figure 13

s-t diagrams over the suction side for N3-60-0.4 (Tu=0.4%) of intermittency (left column) and shear stresses τw (right column) obtained with ITM

Figure 14

Time traces of (a) intermittency and (b) shape factor at the location Ss=0.65 for N3-60-0.4 (Tu=0.4%)

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