Conjugate heat transfer analysis on double-wall cooling configuration including jets impingement and film holes with conformal pins

Chenlin Chen; Yuting Jiang; Haosu Zhang; Liangchen Dong; Zitong Zhang

doi:10.1515/tjj-2023-0106

Article

Conjugate heat transfer analysis on double-wall cooling configuration including jets impingement and film holes with conformal pins

Chenlin Chen , Yuting Jiang , Haosu Zhang , Liangchen Dong and Zitong Zhang

Published/Copyright: February 7, 2024

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From the journal International Journal of Turbo & Jet-Engines Volume 41 Issue 4

Abstract

A double-wall cooling configuration including impingement holes and film holes with conformal pins is studied by CFD numerical simulation in this paper. The influences of three different injection directions of film holes at six blowing ratios ranging from 0.4 to 2.5 on conjugate heat transfer characteristic are investigated. Impingement-only arrangements with corresponding pin directions are adopted to illustrate the film cooling gains and the impingement cooling contribution. The results indicate that the effect of different pin directions on overall cooling effectiveness is non-significant. At low blowing ratio, the forward injection arrangement has higher overall cooling effectiveness since greater gain of film cooling, and is transcended by reverse injection arrangement as coolant supplement increases. Moreover, although the cooling effectiveness for normal injection case is the lowest within the whole range of mass flow rate, it possesses the most uniform distribution of cooling effectiveness in downstream region at high blowing ratio.

Keywords: double-wall cooling; impingement cooling; film cooling; injection direction; conjugate heat transfer

Corresponding author: Yuting Jiang, College of Power and Energy Engineering, Harbin Engineering University, Harbin, 150001, China, E-mail: jiangyuting07314@126.com

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: Unassigned

Funding source: Natural Science Foundation of Heilongjiang Province

Award Identifier / Grant number: Unassigned

Funding source: China Postdoctoral Science Foundation

Award Identifier / Grant number: Unassigned

Acknowledgments

The authors wish to thank the support of National Natural Science Foundation of China (No. 52071107) and Natural Science Foundation of Heilongjiang Province of China-Outstanding Youth Foundation (No. YQ2021E008), China Postdoctoral Science Foundation (No. 2021T140147, No. 2019M661254).

Research ethics: The local Institutional Review Board deemed the study exempt from review.
Author contributions: Chenlin Chen: Conceptualization, Methodology, Software, Validation.YutingJiang: Investigation, Formal analysis, Supervision. Haosu Zhang: Data curation, Writing-Original draft preparation. Liangchen Dong: Visualization, Investigation. Zitong Zhang: Writing- Reviewing and Editing, Funding acquisition.
Competing interests: The authors state no conflict of interest.
Research funding: National Natural Science Foundation of China (No. 52071107) and Natural Science Foundation of Heilongjiang Province of China-Outstanding Youth Foundation (No. YQ2021E008), China Postdoctoral Science Foundation (Nos. 2021T140147 and 2019M661254).
Data availability: Not applicable.

Nomenclature

A: Area (m²)
Bi: Biot number,
D: Diameter of orifice (mm)
DR: Density ratio
G: Mass flow rate (kg/m²s)
h: Heat transfer coefficient (W/(m² K))
L: Length of orifice (mm)
M: Blowing ratio
Nu: Nusselt number
P: Pitch of orifice (mm)
T: Temperature (K)
t: Thickness of plate (mm)
v: Velocity (m/s)
X: X-coordinate (m)
Y: Y-coordinate (m)
Z: Z-coordinate (m)
α: Film hole inclination angle
ϕ: Coolant consumption rate for film cooling
η: Overall cooling effectiveness
φ: Gain of film cooling
λ: Thermal conductivity (W/(m·K))
ρ: Density of fluid (kg/m³)

Subscripts
ad: Adiabatic film cooling effectiveness
ave: Surface average
c: Coolant
ep: Effusion plate
film: Film hole
f: Main flow
g: Mainstream
imp: Impingement hole
pin: Pin
spave: Spanwise average
w: Wall

References

1. Bunker, RS. Gas turbine cooling: moving from macro to micro cooling. In: Proceedings of ASME turbo expo 2013: turbine technical conference & exposition. ASME Paper No. GT2013-94277.10.1115/GT2013-94277Search in Google Scholar

2. Li, W, Lu, X, Li, X, Ren, J, Jiang, H. On improving full-coverage effusion cooling efficiency by varying cooling arrangements and wall thickness in double wall cooling application. ASME J Heat Tran 2019;141:042201. https://doi.org/10.1115/1.4042772.Search in Google Scholar

3. Liu, Y, Rao, Y, Yang, L, Xu, Y, Terzis, A. Flow and heat transfer characteristics of double-wall cooling with multi-row short film cooling hole arrangements. Int J Therm Sci 2021;165:106878. https://doi.org/10.1016/j.ijthermalsci.2021.106878.Search in Google Scholar

4. Andreini, A, Cocchi, L, Facchini, B, Mazzei, L, Picchi, A. Experimental and numerical investigation on the role of holes arrangement on the heat transfer in impingement/effusion cooling schemes. Int J Heat Mass Tran 2018;127:645–59. https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.102.Search in Google Scholar

5. Xie, G, Liu, CL, Ye, L, Wang, R, Niu, J, Zhai, Y. Effects of impingement gap and hole arrangement on overall cooling effectiveness for impingement/effusion cooling. Int J Heat Mass Tran 2020;152:119449. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119449.Search in Google Scholar

6. Oguntade, HI, Andrews, GE, Burns, AD. Impingement/effusion cooling with low coolant mass flow. In: Proceedings of ASME turbo expo 2017: turbomachinery technical conference & exposition. ASME Paper No. GT2017-63484.10.1115/GT2017-63484Search in Google Scholar

7. He, J, Deng, Q, Xiao, K, Feng, Z. Crossflow effect on heat transfer and flow characteristics of simplified double wall cooling structure. In: Proceedings of ASME turbo expo 2022: turbomachinery technical conference and exposition. ASME Paper No. GT2022-82769.10.1115/GT2022-82769Search in Google Scholar

8. Chen, Y, Wei, H, Zu, YQ. Experimental study on the conjugate heat transfer of double-wall turbine blade components with/without pins. Therm Sci Eng Prog 2018;8:448–56. https://doi.org/10.1016/j.tsep.2018.09.010.Search in Google Scholar

9. Kim, SH, Ahn, KH, Park, JS, Jung, EY, Hwang, KY, Cho, HH. Local heat and mass transfer measurements for multi-layered impingement/effusion cooling: effects of pin spacing on the impingement and effusion plate. Int J Heat Mass Tran 2017;105:712–22. https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.007.Search in Google Scholar

10. Song, HS, Park, HS, Kim, T. Cooling effectiveness of additive-manufactured internal structure within a double wall cooling system. In: Proceedings of ASME turbo expo 2023: turbomachinery technical conference and exposition. ASME Paper No. GT2023-102153.10.1115/GT2023-102153Search in Google Scholar

11. Zhang, J, Zheng, Q, Xu, JY, Yue, G, Jiang, Y. Conjugate heat transfer and flow analysis on double-wall cooling with impingement induced swirling and film cooling. Appl Therm Eng 2023;223:120014. https://doi.org/10.1016/j.applthermaleng.2023.120014.Search in Google Scholar

12. Jung, EY, Chung, H, Choi, SM, Woo, TK, Cho, HH. Conjugate heat transfer on full-coverage film cooling with array jet impingements with various Biot numbers. Exp Therm Fluid Sci 2017;83:1–8. https://doi.org/10.1016/j.expthermflusci.2016.12.008.Search in Google Scholar

13. Liu, X, Zhang, C, Song, L, Li, J. Influence of Biot number and geometric parameters on the overall cooling effectiveness of double wall structure with pins. Appl Therm Eng 2021;198:117439. https://doi.org/10.1016/j.applthermaleng.2021.117439.Search in Google Scholar

14. Harrington, MK, McWaters, MA, Bogard, DG, Lemmon, CA, Thole, KA. Full-coverage film cooling with short normal injection holes. ASME J Turbomach 2001;123:798–805. https://doi.org/10.1115/1.1400111.Search in Google Scholar

15. Andreini, A, Facchini, B, Picchi, A. Experimental and theoretical investigation of thermal effectiveness in multi-perforated plates for combustor liner effusion cooling. In: Proceedings of ASME turbo expo 2013: turbine technical conference and exposition. ASME Paper No. GT2013-94667.10.1115/GT2013-94667Search in Google Scholar

16. Li, W, Lu, X, Li, X, Ren, J, Jiang, H. Wall thickness and injection direction effects on flat plate full-coverage film cooling arrays: adiabatic film effectiveness and heat transfer coefficient. Int J Therm Sci 2019;136:172–81. https://doi.org/10.1016/j.ijthermalsci.2018.10.021.Search in Google Scholar

17. Oguntade, HI, Andrews, GE, Burns, AD. Conjugate heat transfer predictions of effusion cooling: the influence of the coolant jet-flow direction on the cooling effectiveness. In: Proceedings of ASME turbo expo 2012: turbine technical conference and exposition. ASME Paper No. GT2012-68517.10.1115/GT2012-68517Search in Google Scholar

18. Baldauf, S, Scheurlen, M, Schulz, A. Correlation of film cooling effectiveness from thermographic measurements at engine like conditions. In: Proceedings of ASME turbo expo 2002: power for land, sea, and air. ASME Paper No. GT-2002-30180.10.1115/GT2002-30180Search in Google Scholar

19. Li, X. Numerical simulation on fluid flow and heat transfer of film cooling with backward injection. In: Proceedings of the 14th international heat transfer conference, IHTC14-22995; 2010.10.1115/IHTC14-22995Search in Google Scholar

20. Singh, K, Premachandran, B, Ravi, M. Experimental and numerical studies on film cooling with reverse/backward coolant injection. Int J Therm Sci 2017;111:390–408. https://doi.org/10.1016/j.ijthermalsci.2016.09.027.Search in Google Scholar

21. Rhee, DH, Yoon, PH, Cho, HH. Local heat/mass transfer and flow characteristics of array impinging jets with effusion holes ejecting spent air. Int J Heat Mass Tran 2003;46:1049–61. https://doi.org/10.1016/s0017-9310(02)00363-0.Search in Google Scholar

22. Lee, J, Ren, Z, Ligrani, P, Lee, DH, Fox, MD, Moon, HK. Cross-flow effects on impingement array heat transfer with varying jet-to-target plate distance and hole spacing. Int J Heat Mass Tran 2014;75:534–44. https://doi.org/10.1016/j.ijheatmasstransfer.2014.03.040.Search in Google Scholar

23. Lee, J, Ren, Z, Ligrani, P, Fox, MD, Moon, HK. Crossflows from jet array impingement cooling: hole spacing, target plate distance, Reynolds number effects. Int J Therm Sci 2015;88:7–18. https://doi.org/10.1016/j.ijthermalsci.2014.09.003.Search in Google Scholar

24. El-Jummah, AM, Abdul Husain, RAA, Andrews, GE, Staggs, JEJ. Conjugate heat transfer computational fluid dynamic predictions of impingement heat transfer: the influence of hole pitch to diameter ratio X/D at constant impingement gap Z. ASME J Turbomach 2014;136:121002. https://doi.org/10.1115/1.4028232.Search in Google Scholar

25. El-Gabry, LA, Kaminski, DA. Experimental investigation of local heat transfer distribution on smooth and roughened surfaces under an array of angled impinging jets. ASME J Turbomach 2005;127:532–44. https://doi.org/10.1115/1.1861918.Search in Google Scholar

26. Nathan, ML, Dyson, TE, Bogard, DG, Bradshaw, SD. Adiabatic and overall effectiveness for the showerhead film cooling of a turbine vane. ASME J Turbomach 2014;136:031005. https://doi.org/10.1115/1.4024680.Search in Google Scholar

27. Sinha, AK, Bogard, DG, Crawford, ME. Film-cooling effectiveness downstream of a single row of holes with variable density ratio. ASME J Turbomach 1991;113:442–9. https://doi.org/10.1115/1.2927894.Search in Google Scholar

Received: 2023-12-15

Accepted: 2024-01-18

Published Online: 2024-02-07

Published in Print: 2024-12-17

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Articles in the same Issue

https://doi.org/10.1515/tjj-2023-0106

Keywords for this article

double-wall cooling; impingement cooling; film cooling; injection direction; conjugate heat transfer