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Research Papers: Jets, Wakes, and Impingment Cooling

Numerical Investigation on Film Cooling Performance of Fusiform Diffusion Holes

[+] Author and Article Information
Bai-Tao An

Institute of Engineering Thermophysics,
Chinese Academy of Sciences,
Beijing 100190, China
e-mail: anbt@mail.etp.ac.cn

Jian-Jun Liu

Institute of Engineering Thermophysics,
Chinese Academy of Sciences,
Beijing 100190, China

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 15, 2017; final manuscript received July 17, 2018; published online August 28, 2018. Assoc. Editor: Ali Khounsary.

J. Heat Transfer 140(12), 122201 (Aug 28, 2018) (11 pages) Paper No: HT-17-1684; doi: 10.1115/1.4041047 History: Received November 15, 2017; Revised July 17, 2018

This paper presents a numerical investigation of the film-cooling performance of a kind of diffusion hole with a fusiform cross section. Relative to the rectangular diffusion hole, the up- and/or downstream wall of the fusiform diffusion hole is outer convex. Under the same metering section area, six fusiform diffusion holes were divided into two groups with cross-sectional widths of W = 1.7D and W = 2.0D, respectively. Three fusiform cross section shapes in each group included only downstream wall outer convex, only upstream wall outer convex, or a combination of both. Simulations were performed in a flat plate model using a 3D steady computational fluid dynamics method under an engine-representative condition. The simulation results showed that the fusiform diffusion hole with only an outer convex upstream wall migrates the coolant laterally toward the hole centerline, and then forms or enhances a tripeak effectiveness pattern. Conversely, the fusiform diffusion hole with an outer convex downstream wall intensely expands the coolant to the hole two sides, and results in a bipeak effectiveness pattern, regardless of the upstream wall shape. Compared with the rectangular diffusion holes, the fusiform diffusion holes with only an upstream wall outer convex significantly increase the overall effectiveness at high blowing ratios. The increased magnitude is approximately 20% for the hole of W = 1.7D at M = 2.5. Besides, the fusiform diffusion holes with an outer convex upstream wall increase the discharge coefficient about 5%, within the moderate to high blowing ratio range.

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Figures

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Fig. 1

Typical (a) hole configurations and (b) cross-sectional shape in the metering section of the fusiform diffusion hole

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Fig. 2

Typical (a) hole configurations and (b) cross-sectional shape in metering section of the rectangular diffusion hole with semicircle sidewalls [13]

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Fig. 3

Cross-sectional shape (A-A view in Figs. 1 and 2) schemes of the simulated holes under two cross section widths (left column: W = 1.7D; right column: W = 2.0D)

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Fig. 4

Computation domain model of (a) 3D view and (b) side and top view

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Fig. 5

Computational grid

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Fig. 6

Laterally averaged effectiveness comparison between numerical and experimental results of rectangular diffusion holes: (a) Rect-1.7D and (b) Rect-2.0D

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Fig. 7

Comparison of local effectiveness at x/D = 20 under M = 2.5 between numerical and experimental results of rectangular diffusion holes

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Fig. 8

Grid independency test on laterally averaged effectiveness of hole Rect-2.0D under blowing ratio M = 1.5

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Fig. 9

Adiabatic film-cooling effectiveness contours of the holes with W = 1.7D at various blowing ratios: (a) Rect-1.7D, (b) Fusi-1.7D-1, (c) Fusi-1.7D-2, and (d) Fusi-1.7D-3

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Fig. 10

Adiabatic film-cooling effectiveness contours of the holes with W = 2.0D at various blowing ratios: (a) Rect-2.0D, (b) Fusi-2.0D-1, (c) Fusi-2.0D-2, and (d) Fusi-2.0D-3

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Fig. 11

Local effectiveness comparison at x/D = 10 among the holes of W = 1.7D under three blowing ratios

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Fig. 12

Local effectiveness comparison at x/D = 10 among the holes of W = 2.0D under three blowing ratios

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Fig. 13

Laterally averaged effectiveness comparison among holes of W = 1.7D under three blowing ratios

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Fig. 14

Laterally averaged effectiveness comparison among holes of W = 2.0D under three blowing ratios

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Fig. 15

Spatially averaged cooling effectiveness of all simulated holes under three blowing ratios

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Fig. 16

Velocity contours at various Z-direction cutting planes inside of the holes under blowing ratio M = 2.5

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Fig. 17

Secondary flow streamlines on downstream x/D = 10 plane under blowing ratio M = 2.5

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Fig. 18

Nondimensional temperature contours on x/D = 10 plane under blowing ratio M = 2.5

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Fig. 19

X-direction vorticity contours on x/D = 10 plane under blowing ratio M = 2.5

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Fig. 20

Discharge coefficient variation along with pressure ratio of (a) W = 1.7D holes and (b) W = 2.0D holes

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