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Research Papers: Heat and Mass Transfer

The Heat/Mass Transfer Analogy for a Simulated Turbine Endwall With Fillets

[+] Author and Article Information
S. Han

 Korea Institute of Machinery and Materials, Daejeon 305-343, Koreasjhan@kimm.re.kr

R. J. Goldstein1

Heat Transfer Laboratory, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455rjg@me.umn.edu

1

Corresponding author.

J. Heat Transfer 131(1), 012001 (Oct 14, 2008) (14 pages) doi:10.1115/1.2969756 History: Received June 29, 2007; Revised May 08, 2008; Published October 14, 2008

Mass transfer measurements are employed as alternative methods for heat transfer measurement because of the difficulty of heat transfer measurements in thin boundary layers, complicated secondary flows, and large thermal gradients. Even though mass transfer experiments are fast and show detailed local measurement data, the conversion of mass transfer results to heat transfer data requires the heat/mass transfer analogy factors in detail. Therefore, the usefulness of mass transfer data depends on finding a simple analogy factor. The heat/mass transfer analogy on a simulated turbine endwall with fillets is evaluated in the present paper. Since the heat/mass transfer analogy factor may not be always the same, the heat/mass transfer analogy should be verified for other different geometries and experimental conditions. To utilize the heat/mass transfer analogy fully, it is necessary to check that the presence of different aerodynamic conditions caused by the fillets affects the heat/mass transfer analogy on a simulated turbine endwall with fillets. To compare heat transfer data and mass transfer data, heat transfer measurements on the endwall with fillets are conducted with a thermal boundary layer measurement technique and mass transfer measurements employing naphthalene sublimation technique on the endwall with the fillets are extracted from literature with equivalent experimental conditions and a similar geometry. As expected by heat transfer and mass transfer equations, the heat/mass transfer analogy factor is applied and shows a good agreement between heat transfer and mass transfer results on the endwall with the fillets from the leading edge to the trailing edge.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Test section for the heat and mass transfer experiments

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Figure 2

Blade configuration on the heat and mass transfer endwalls

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Figure 3

The geometry of the blade with the fillet

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Figure 4

Constant temperature endwall with heaters and thermocouple locationsThermal boundary layer probe schematic

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Figure 5

Thermal boundary layer probe schematic

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Figure 6

Five-axis measurement unit sketch

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Figure 7

Endwall measurement positions for heat transfer experiments with fillets

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Figure 8

Sherwood number contour plot with Reex=4.31×105 and Tu=0.2%, Han and Goldstein (10)

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Figure 9

Sherwood number contour plot with Reex=5.65×105 and Tu=0.2%, Han and Goldstein (10)

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Figure 10

Sherwood number contour plot with Reex=3.57×105 and Tu=8.5%, Han and Goldstein (10)

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Figure 11

Sherwood number contour plot with Reex=4.97×105 and Tu=8.5%, Han and Goldstein (10)

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Figure 12

Sample thermal boundary layer profile on the endwall

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Figure 13

Nusselt number contour plot with Reex=1.89×105 and Tu=0.2%

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Figure 14

Nusselt number contour plot with Reex=2.58×105 and Tu=0.2%

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Figure 15

Nusselt number contour plot with Reex=1.59×105 and Tu=8.5%

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Figure 16

Nusselt number contour plot with Reex=2.27×105 and Tu=8.5%

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Figure 17

Heat and mass transfer analogy plot 1 with n=0.5 and Tu=0.2%

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Figure 18

Heat and mass transfer analogy plot 2 with n=0.5 and Tu=0.2%

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Figure 19

Heat and mass transfer analogy plot 3 with n=0.5 and Tu=0.2%

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Figure 20

Heat and mass transfer analogy plot 1 with n=0.5 and Tu=8.5%

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Figure 21

Heat and mass transfer analogy plot 2 with n=0.5 and Tu=8.5%

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Figure 22

Heat and mass transfer analogy plot 3 with n=0.5 and Tu=8.5%

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