Skip to main content
Log in

Numerical simulation and design of non-uniform arrangement of circular and elliptical holes on the effectiveness of film cooling of a gas turbine blades

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

The objective of this paper is to designed a nonuniform arrangement of elliptical holes for film cooling (FICO) on gas turbine blades. The optimal distance between rows of holes (1–3) was determined to maximize FICO effectiveness. The three-dimensional geometry of the problem (Circle, horizontal elliptic, and vertical elliptic) was modeled based on an existing experimental sample. The turbulent steady-state incompressible single-phase flow was modeled using conservation equations and considering the blowing ratio (0.25–2), adiabatic FICO efficiency, von Mises stress (VMS), and hydraulic radius relationships. Results showed that elliptical holes with a major diameter normal to the flow had the highest centerline and laterally averaged effectiveness values. Additionally, holes that were more laterally stretched out had higher efficiency. The best effectiveness was achieved at an optimal blowing ratio of 0.75. Furthermore, the maximum von Mises stress was higher in cases with smaller distances between rows. Von Mises stress analysis revealed that elliptical openings with a large diameter perpendicular to the flow caused the lowest thermal stress in the solid body. When cooling with three rows of elliptical holes, a larger distance between the second and third rows resulted in higher effectiveness and lower maximum VMS at an optimal distance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

Abbreviations

FICO:

Film cooling

VMS:

Von Mises stress

FLP:

Flat plate

CLH:

Cooling hole

M:

Blowing ratios

CLEF:

Cooling effectiveness

References

  1. Han J-C. Fundamental gas turbine heat transfer. J Therm Sci Eng Appl. 2013;5:021007.

    Article  Google Scholar 

  2. Nourin FN, Amano RS. Experimental study on flow behavior and heat transfer enhancement with distinct dimpled gas turbine blade internal cooling channel. J Energy Resour Technol. 2022;144:112105.

    Article  Google Scholar 

  3. Unnikrishnan U, Yang V. A review of cooling technologies for high temperature rotating components in gas turbine. Propuls Power Res. 2022;11:293.

    Article  Google Scholar 

  4. Friedrichs S. Endwall film-cooling in axial flow turbines. New Jersey: Citeseer; 1997.

    Google Scholar 

  5. Han J-C, Rallabandi A. Turbine blade film cooling using PSP technique. Front Heat Mass Transf (FHMT). 2010;1:21.

    Google Scholar 

  6. Bayareh M. An overview of non-Newtonian nanofluid flow in macro- and micro-channels using two-phase schemes. Eng Anal Bound Elem. 2023;148:165–75.

    Article  Google Scholar 

  7. Zhao W, Chi Z, Zang S. Scaling criteria accuracy for turbine blade film cooling effectiveness at unmatched temperature ratio conditions. Appl Therm Eng. 2021;197:117363.

    Article  Google Scholar 

  8. Goldstein RJ. Film cooling. In: Advances in heat transfer, vol. 49. Amsterdam: Elsevier; 2017. p. 91–156.

    Google Scholar 

  9. Ligrani P, Wigle J, Ciriello S, Jackson S. Film-cooling from holes with compound angle orientations: part 1—results downstream of two staggered rows of holes with 3d spanwise spacing. J Heat Transf. 1994;116:352.

    Google Scholar 

  10. Bunker RS. Film cooling effectiveness due to discrete holes within a transverse surface slot. Turbo Expo Power Land Sea Air. 2002;36088:129–38.

    Google Scholar 

  11. Kanani H, Shams M, Ebrahimi R, Ahmadian T. Numerical simulation of film cooling effectiveness on a flat plate. Int J Numer Meth Fluids. 2008;56:1329–36.

    Article  Google Scholar 

  12. Koç I. Experimental and numerical investigation of film cooling effectiveness for rectangular injection holes. Aircr Eng Aerosp Technol. 2007;79:621.

    Article  Google Scholar 

  13. Jones FB, Fox DW, Oliver T, Bogard DG. Parametric optimization of film cooling hole geometry. In: Turbo expo: power for land, sea and air. Beijing: American Society of Mechanical Engineers; 2021.

    Google Scholar 

  14. 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.

    Article  CAS  Google Scholar 

  15. Song YJ, Park SH, Kang YJ, Kwak JS. Effects of trench configuration on the film cooling effectiveness of a fan-shaped hole. Int J Heat Mass Transf. 2021;178:121655.

    Article  Google Scholar 

  16. Hang J, Zhang J, Wang C, Shan Y. Numerical investigation of single-row double-jet film cooling of a turbine guide vane under high-temperature and high-pressure conditions. Energies. 2022;15:287.

    Article  CAS  Google Scholar 

  17. Zhang B, Chen Y-X, Wang Z-G, Li J-Q, Ji H-H. Influence of Mach number of main flow on film cooling characteristics under supersonic condition. Symmetry. 2021;13:127.

    Article  CAS  Google Scholar 

  18. Zhou J, Wang X, Li J, Lu H. Effects of diameter ratio and inclination angle on flow and heat transfer characteristics of sister holes film cooling. Int Commun Heat Mass Transfer. 2020;110:104426.

    Article  Google Scholar 

  19. Zhu R, Lin E, Simon T, Xie G. An experimental study of sister holes film cooling with various secondary-to-primary hole diameter ratios. J Heat Transf. 2021;143:012301.

    Article  CAS  Google Scholar 

  20. Li H-W, Zhang D-W, Han F, Guo H, Ding X-F. Experimental investigation on the effect of hole diameter on the leading edge region film cooling of a twist turbine blade under rotation conditions. Appl Therm Eng. 2021;184:116386.

    Article  Google Scholar 

  21. Gao F, Duan X, Zhang L, Chang J. Influence of groove structure on film cooling. Energy Rep. 2022;8:136–51.

    Article  Google Scholar 

  22. Yu Z, Li C, An B, Liu J, Xu G. Experimental investigation of film cooling effectiveness on a gas turbine blade pressure surface with diffusion slot holes. Appl Therm Eng. 2020;168:114851.

    Article  Google Scholar 

  23. Daud H, Mohammed M. Film cooling holes performance on a flat plate. J Mech Eng. 2022;19:73–91.

    Article  Google Scholar 

  24. Zhu R, Lin E, Simon T, Xie G. Investigation and numerical simulation on film cooling performance with an anti-vortex hole design: influences of diameter ratio. Int Commun Heat Mass Transf. 2021;121:105118.

    Article  Google Scholar 

  25. Yao J, Su P, He J, Wu J, Lei J, Fang Y. Experimental and numerical investigations on double-jet film-cooling with different mainstream incidence angles. Appl Therm Eng. 2020;166:114737.

    Article  Google Scholar 

  26. Zhou Z, Li H, Xie G, Xia S, Zhou J. The cooling performance of three-row compound angle holes on the suction surface of a rotating turbine blade. Propuls Power Res. 2021;10:23–36.

    Article  Google Scholar 

  27. Meng L, Li H, Xie G, Tao Z, Zhou Z. Film cooling performance of blade pressure side with three-row film holes under rotating condition. Int J Heat Mass Transf. 2022;188:122593.

    Article  Google Scholar 

  28. Rui Z, Terrence S, Shulei L, Gongnan X. Film cooling performance and flow structure of single-hole and double-holes with swirling jet. Chin J Aeronaut. 2022;35:201–13.

    Article  Google Scholar 

  29. Chang J, Xu J, Duan X, Wang K, Du Y. Investigations of effect for different influencing factors on film cooling effectiveness—steady coolant ejected. Energy Rep. 2021;7:1453–65.

    Article  Google Scholar 

  30. Paregouda S, Rao T. CFD simulation on gas turbine blade and effect of hole shape on leading edge film cooling effectiveness. Int J Modern Eng Res. 2013;3:2066–72.

    Google Scholar 

  31. Sinha A, Bogard D, Crawford M. Film-cooling effectiveness downstream of a single row of holes with variable density ratio. J Turbomach. 1991;113:442.

    Article  Google Scholar 

  32. White FM, Majdalani J. Viscous fluid flow. New York: McGraw-Hill; 2006.

    Google Scholar 

  33. Wilcox DC. Turbulence modeling for CFD. CA: DCW industries La Canada; 1998.

    Google Scholar 

  34. Dai S-J, Xiao Y, He L-M, Jin T, Zhang Q, Hou P-H, Zhao Z-C. Film-cooling of cylindrical hole with downstream surface dielectric barrier discharge actuators. Int J Heat Mass Transf. 2015;90:825–37.

    Article  Google Scholar 

  35. Öztop HF. Turbulence forced convection heat transfer over double forward facing step flow. Int Commun Heat Mass Transf. 2006;33:508–17.

    Article  Google Scholar 

  36. Kim KM, Moon H, Park JS, Cho HH. Optimal design of impinging jets in an impingement/effusion cooling system. Energy. 2014;66:839–48.

    Article  Google Scholar 

  37. Wiwatanapataphee B, Sawangtong W, Khajohnsaksumeth N, Wu YH. Oscillating pressure-driven slip flow and heat transfer through an elliptical microchannel. Adv Differ Equ. 2019;1–9:2019.

    Google Scholar 

  38. Sepyani M, Shateri A, Bayareh M. Investigating the mixed convection heat transfer of a nanofluid in a square chamber with a rotating blade. J Therm Anal Calorim. 2019;135:609–23.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alireza Daneh-Dezfuli.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Daneh-Dezfuli, A., Kazemzadeh, R. & Hajatzadeh Pordanjani, A. Numerical simulation and design of non-uniform arrangement of circular and elliptical holes on the effectiveness of film cooling of a gas turbine blades. J Therm Anal Calorim 149, 4671–4690 (2024). https://doi.org/10.1007/s10973-024-13239-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-024-13239-9

Keywords

Navigation