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Research Papers: Flows in Complex Systems

Simulation of Turbine Blade Trailing Edge Cooling

[+] Author and Article Information
Jongwook Joo, Paul Durbin

Aerospace Engineering, Howe Hall, Iowa State University, Ames, IA 50011

J. Fluids Eng 131(2), 021102 (Jan 09, 2009) (14 pages) doi:10.1115/1.3054287 History: Received May 07, 2008; Revised October 23, 2008; Published January 09, 2009

The cause of overprediction of cooling efficiency by unsteady Reynolds averaged simulations of turbine blade trailing edge cooling flow is investigated. This is due to the deficiency in the level of unsteady coherent energy very near to the wall. Farther from the wall, the Reynolds averaged simulation produces the correct level of mixing. Eddy simulations of the instantaneous turbulent eddying produce a close agreement to data on film effectiveness. In particular, they reproduce the reduction in cooling effectiveness toward the trailing edge that has been seen in experiments. The scale adaptive simulation model of Menter and Egorov (2005, “A Scale-Adaptive Simulation Modeling Using Two-Equation Models  ,” AIAA Paper No. 2005-1095) is invoked for the eddy simulations.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Trailing edge cooling slots at pressure side breakout

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Figure 2

Vortex shedding from upper nozzle lip: temperature contours from Ref. 4

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Figure 3

Natural (left) and forced (right) unsteadiness in RANS simulations (4)

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Figure 4

Schematic of the eddy simulation setup and of the whole channel RANS simulation setup

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Figure 5

Schematic of the procedure of the trailing edge simulation

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Figure 6

Sections of the grid for the trailing edge and coolant passage

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Figure 7

Comparison of mean velocity and turbulent kinetic energy profiles between the base and final grids: (—) final grid; (- - -) base grid.

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Figure 8

Q isosurface of eddy simulation with BR=1

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Figure 25

Comparison between turbulent kinetic energy and temperature mean profiles at the z=0.5 plane with BR=1. Top: turbulent kinetic energy, (—) eddy simulation, (- - -) modeled turbulent kinetic of RANS, (⋯⋅) resolved turbulent kinetic energy of RANS, and (−⋅−) sum of the modeled and resolved turbulent kinetic energy of RANS. Bottom: mean temperature profiles, (—) eddy simulation, and (−⋅−) RANS.

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Figure 24

Comparison between turbulent kinetic energy and temperature mean profiles at the center plane with BR=1. Top: turbulent kinetic energy, (—) eddy simulation, (- - -) modeled turbulent kinetic of RANS, (⋯⋅) resolved turbulent kinetic energy of RANS, and (−⋅−) sum of the modeled and resolved turbulent kinetic energy of RANS. Bottom: mean temperature profiles, (—) eddy simulation, and (−⋅−) RANS.

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Figure 22

Instantaneous temperature contours of eddy simulation (BR=1) at x-normal planes. Top left: x=4, top right: x=6, and bottom: x=8.

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Figure 21

Mean temperature contours at the x=8 plane. Top left: eddy simulation with BR=1, top right: eddy simulation with BR=1.5, and bottom: RANS with BR=1.

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Figure 20

Mean temperature contours at x=6 plane. Top left: eddy simulation with BR=1, top right: eddy simulation with BR=1.5, and bottom: RANS with BR=1.

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Figure 19

Mean temperature contours at x=2 plane. Top left: eddy simulation with BR=1, top right: eddy simulation with BR=1.5, and bottom: RANS with BR=1.

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Figure 18

Mean temperature contours at the center plane. Top left: eddy simulation with BR=1, top right: eddy simulation with BR=1.5, and bottom: RANS with BR=1.

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Figure 17

Instantaneous temperature contours at the center plane. Top: eddy simulation with BR=1; bottom: RANS with BR=1.

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Figure 16

Film cooling effectiveness contours at the bottom wall. Left: eddy simulation with BR=1; right: RANS with BR=1.

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Figure 15

Film cooling effectiveness on the center line for BR=1 and 1.5. (—) Eddy simulation, (- - -) RANS (4), and ◇ experiment (2).

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Figure 14

Temperature profiles at the center plane. (—) Eddy simulation with BR=1, (- - -) eddy simulation with BR=1.5, and (−⋅−) RANS with BR=1.

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Figure 13

Ratio of eddy viscosity to molecular viscosity profiles of eddy simulation at the center plane. (—) Final grid case with BR=1, (- - -) final grid case with BR=1.5, and (−⋅−) base grid case with BR=1.

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Figure 12

Resolved and modeled turbulent kinetic energy profiles of eddy simulation (BR=1) at the center plane. (—) Resolved turbulent kinetic energy; (- - -) modeled turbulent kinetic energy.

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Figure 11

Turbulent shear stress profiles at the center plane. (—) Eddy simulation with BR=1, (- - -) eddy simulation with BR=1.5, and (−⋅−) RANS with BR=1.

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Figure 10

Turbulent kinetic energy profiles at the center plane. (—) Eddy simulation with BR=1, (- - -) eddy simulation with BR=1.5, and (−⋅−) RANS with BR=1.

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Figure 9

Mean velocity profiles in planes of constant z. (—) Eddy simulation with BR=1, (- - -) eddy simulation with BR=1.5, and (−⋅−) RANS with BR=1.

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Figure 23

One-dimensional streamwise energy and temperature spectra in the center plane at x=4, y=0.571 for the u spectrum, and y=0.794 for the temperature spectrum. (−⋅−)k−5/3.

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