Abstract
The performance of a novel Mushroom-Shaped Cooling Hole (MSCH) configuration intended to improve the efficacy of film cooling in gas turbine components is investigated numerically in this work. Four different MSCH designs were assessed and contrasted with a standard cylindrical hole. The RNG k–ε turbulence model was used in simulations with Reynolds-Averaged Navier–Stokes (RANS) equations for a range of blowing ratios (M = 0.25–1.5). Important performance metrics were examined such as discharge coefficient flow structures and centerline and laterally averaged adiabatic film cooling effectiveness. The findings show that in comparison to the baseline MSCH configurations significantly enhance cooling performance. MSCH-3 and MSCH-4 in particular reduced discharge loss by up to 32 % and improved area-averaged film effectiveness by more than 100 %. Flow visualizations demonstrated enhanced lateral coolant spreading and the suppression of vortex pair formation. These results demonstrate how the MSCH can be a useful substitute for conventional film cooling geometries providing turbine airfoils operating under high thermal and aerodynamic loads with better thermal protection.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The authors state no conflict of interest.
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Research funding: None declared.
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Data availability: Not applicable.
Nomenclature
- MSCH
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- Mushroom-Shaped Cooling Hole
- CRVP
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- CounterRotating Vortex Pairs
- D
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- film-cooling hole diameter (mm)
- L
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- spanwise dimension of the plate (mm)
- I
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- length of the injection hole (mm)
- M
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- blowing ratio
- T
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- temperature (°K)
- U
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- velocity (m/s)
- x, y, z
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- cartesian coordinate
- η
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- adiabatic film cooling effectiveness
- <η>
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- laterally averaged adiabatic effectiveness
- ρ
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- density
- ∞
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- free-stream condition
- C
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- coolant
References
1. Goldstein, RJ. Film cooling. Adv Heat Transf 1971;7:321–79. https://doi.org/10.1016/s0065-2717(08)70020-0. ElsevierSearch in Google Scholar
2. Bogard, DG, Thole, KA. Gas turbine film cooling. J Propul Power 2006;22:249–70. https://doi.org/10.2514/1.18034.Search in Google Scholar
3. Goldstein, RJ, Eckert, ERG, Burggraf, F. Effects of hole geometry and density on three-dimensional film cooling. Int J Heat Mass Tran 1974;17:595–607. https://doi.org/10.1016/0017-9310(74)90007-6.Search in Google Scholar
4. Bunker, RS. A review of shaped hole turbine film-cooling technology. J Heat Tran 2005;127:441–53. https://doi.org/10.1115/1.1860562.Search in Google Scholar
5. Leylek, JH, Zerkle, RD. Discrete-jet film cooling: a comparison of computational results with experiments. ASME turbo expo. 1994.10.1115/93-GT-207Search in Google Scholar
6. Baldauf, S, Schulz, A, Wittig, S. High resolution measurements of local effectiveness by discrete hole film cooling. Turbo Expo: Power for Land, Sea, and Air 1999;78606. https://doi.org/10.1115/99-gt-046. V003T01A020.American Society of Mechanical EngineersSearch in Google Scholar
7. Haven, BA, Kurosaka, M. Kidney and anti-kidney vortices in crossflow jets. J Fluid Mech 1997;352:27–64. https://doi.org/10.1017/s0022112097007271.Search in Google Scholar
8. Gritsch, M, Schulz, A, Wittig, S. Adiabatic wall effectiveness measurements of film-cooling holes with expanded exits. ASME J. Turbomachinery 1998;120:549–56. https://doi.org/10.1115/1.2841752.Search in Google Scholar
9. Boualem, K, Bordjane, M, Bourdim, M, Grine, M, Ben Ali Kouchih, F, Azzi, A. Numerical investigation of V-shaped trench on film cooling performance. Thermophys Aeromechanics 2023;30:305–15. https://doi.org/10.1134/s0869864323020117.Search in Google Scholar
10. Gandhi, N, Sivan, S. A study on the effect of angle in diffused hole film cooling effectiveness at different blowing ratios. International Journal of Turbo & Jet-Engines, 000010151520190046 2020. https://doi.org/10.1515/tjj-2019-0046.Search in Google Scholar
11. Cao, N, Li, X, Wu, Z, Luo, X. Effect of film hole geometry and blowing ratio on film cooling performance. Appl Therm Eng 2020;165:114578. https://doi.org/10.1016/j.applthermaleng.2019.114578.Search in Google Scholar
12. Li, G, Chen, Y, Kou, Z, Zhang, W, Zhang, G. Mechanism of film cooling with one inlet and double outlet hole injection at various turbulence intensities. Int J Turbo Jet Engines 2018;35:1–9. https://doi.org/10.1515/tjj-2016-0024.Search in Google Scholar
13. Hou, R, Wen, F, Wang, S, Luo, Y, Tang, X. Large eddy simulation of the trenched film cooling hole with different compound angles and coolant inflow orientation effects. Appl Therm Eng 2019;163:114397. https://doi.org/10.1016/j.applthermaleng.2019.114397.Search in Google Scholar
14. Zhang, B, Lin, L, Li, J, Zhang, N, Ji, H. Effect of forward expansion angle on film cooling characteristics of shaped holes. Open Phys 2020;18:302–14. https://doi.org/10.1515/phys-2020-0130.Search in Google Scholar
15. Ben Ali Kouchih, F, Boualem, K, Grine, M, Azzi, A. The effect of an upstream dune-shaped shells on forward and backward injection hole film cooling. J Heat Tran 2020;142:122302. https://doi.org/10.1115/1.4047643.Search in Google Scholar
16. Ye, L, Liu, C, Du, K, Chen, L, Wang, Y, Zhu, A. Influences of groove configuration and density ratio on grooved leading-edge showerhead film cooling using the pressure sensitive paint measurement technique. Int J Heat Mass Tran 2022;190:122641. https://doi.org/10.1016/j.ijheatmasstransfer.2022.122641.Search in Google Scholar
17. Thole, KA, Bogard, DG. High freestream turbulence effects on turbulent boundary layers. J Fluid Eng 1996:276–84. https://doi.org/10.1115/1.2817374.Search in Google Scholar
18. Schmidt, DL, Bogard, DG. Effects of free-stream turbulence and surface roughness on film cooling. ASME J. Heat Transfer 1996:78750.10.1115/96-GT-462Search in Google Scholar
19. Saumweber, C, Schulz, A. Interactions of film cooling rows: effects of hole geometry and row spacing on the cooling performance downstream of the second row of holes. ASME Turbo Expo 2003 Proceedings 2003;36886:101–10.10.1115/GT2003-38195Search in Google Scholar
20. Saumweber, C, Schulz, A, Wittig, S. Free-stream turbulence effects on film cooling with shaped holes. J Turbomach 2003;125:65–73. https://doi.org/10.1115/1.1515336.Search in Google Scholar
21. Fu, W-S, Chao, W-S, Tsubokura, M, Li, C-G, Wang, W-H. Direct numerical simulation of film cooling with a fan-shaped hole under low Reynolds number conditions. Int J Heat Mass Tran 2018;123:544–60. https://doi.org/10.1016/j.ijheatmasstransfer.2018.03.011.Search in Google Scholar
22. Li, M, Wen, Z-xun, Wang, P, Liu, Y-xing, Li, Z-wei, Yue, Z-feng. Femtosecond laser high-Quality drilling of film cooling holes in nickel-based single superalloy for turbine blades with a two-step helical drilling method. J Mater Process Technol 2023;312:117827. https://doi.org/10.1016/j.jmatprotec.2022.117827.Search in Google Scholar
23. Gritsch, M, Schulz, A, Wittig, S. Discharge coefficient measurements of film-cooling holes with expanded exits. ASME J. Turbomachinery 1998;120:557–63. https://doi.org/10.1115/1.2841753.Search in Google Scholar
24. Schmidt, DL, Sen, B, Bogard, DG. Film cooling with compound angle holes: adiabatic effectiveness. J Heat Tran 1996:807–13. https://doi.org/10.1115/1.2840938.Search in Google Scholar
25. Ligrani, P, Goodro, M, Fox, M, Moon, H. Full-coverage film cooling: film effectiveness and heat transfer coefficients for dense and sparse hole arrays at different blowing ratios. ASME J. Turbomachinery 2012;134:061039. https://doi.org/10.1115/1.4006304.Search in Google Scholar
26. Ghorab, MG, Hassan, I. An experimental investigation of a new hybrid film cooling scheme. Int J Heat Mass Tran 2010;53:2835–46. https://doi.org/10.1016/j.ijheatmasstransfer.2010.05.026.Search in Google Scholar
27. Kim, J-H, Kim, K-Y. Film-cooling performance of converged-inlet hole shapes. Int J Therm Sci 2018;124:196–211. https://doi.org/10.1016/j.ijthermalsci.2017.10.014.Search in Google Scholar
28. Fraas, M, et al.. Optimized inlet geometry of a laidback fan-shaped film cooling hole – experimental study of film cooling performance. Int J Heat Mass Tran 2019;137:1092–103.10.1016/j.ijheatmasstransfer.2018.09.035Search in Google Scholar
29. Liu, C, Amei, B, Yi, Z, Dawei, C, Junjun, G, Ren, D. Surrogate-based optimization and experiment validation of a fan-shaped film cooling hole with a large lateral space. Appl Therm Eng 2022;207:118145. https://doi.org/10.1016/j.applthermaleng.2022.118145.Search in Google Scholar
30. Sinha, AK, Bogard, DG, Crawford, ME. Film-cooling effectiveness downstream of a single row of holes with variable density ratio. J Turbomach 1991;113:442–9. https://doi.org/10.1115/1.2927894.Search in Google Scholar
31. Silieti, M, Divo, E, Kassab, AJ. The effect of conjugate heat transfer on film cooling effectiveness. Numer Heat Tran, Part B: Fundamentals 2010;56:335–50. https://doi.org/10.1080/10407790903508046.Search in Google Scholar
32. El Ayoubi, C, Ghaly, W, Hassan, I. Aerothermal shape optimization for a double row of discrete film cooling holes on the suction surface of a turbine vane. Eng Optim 2015;47:1384–404. https://doi.org/10.1080/0305215x.2014.969725.Search in Google Scholar
33. Wang, K, Ao, Y, Zhao, K, Zhou, T, Li, F. Improving film cooling efficiency with lobe-shaped cooling holes: an investigation with large-eddy simulation. Appl Sci 2023;13:4618. https://doi.org/10.3390/app13074618.Search in Google Scholar
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