Skip to main content
SpringerLink
Log in

Numerical study on unsteady film cooling performance under the mainstream swing condition

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Significant unsteady film cooling performance of a turbine shroud can be found under the periodic disturbance of rotor blades. The mainstream flow in film cooling on a turbine shroud is simplified as the periodic swing based on the alternate appearance of the cascade passage flow and the blade tip clearance flow. Three-dimensional unsteady numerical simulation was employed to analyze the film cooling effectiveness with a single cylindrical hole injection at mainstream swing frequencies of 100, 160 and 220 Hz, and at blowing ratios of 0.5, 0.8, 1.1 and 1.4, respectively. A steady simulation was also carried out as a comparison. The results show that mainstream swing provides instantaneous film spots. It is a novel phenomenon in film cooling. Spanwise coverage of film was more uniform compared with the steady case. There are considerable differences of film cooling effectiveness under the various mainstream swing frequencies. A larger swing frequency results in higher spanwise averaged time-averaged film cooling effectiveness.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

D:

Diameter of the cylindrical hole, m

U :

Mainstream velocity, m/s

T:

Temperature, K

t:

Time, s

X:

Streamwise coordinate, m

Y:

Vertical coordinate, m

Z:

Spanwise coordinate, m

ρ :

Density, kg/m3

μ :

Dynamic viscosity, kg/(m×s)

p:

Pressure at local location of the cooled surface, Pa

p*:

Total pressure at inlet of the mainstream, Pa

f:

Swing frequency of the mainstream inlet velocity, Hz

A:

Area of a grid, m2

m:

The number of time steps in a period

n:

The number of spanwise grids

M:

Blowing ratio, (ρcUc)/(ρ∞U∞)

η :

Film cooling effectiveness, (T∞ - Taw)/(T∞- Tc)

η ave :

Spanwise averaged film cooling effectiveness, \(\sum\limits_{i = 1}^n {A_i\eta_i} /\sum\limits_{i = 1}^n {A_i}\)

η ta :

Time-averaged film cooling effectiveness, \(\sum\limits_{j = 1}^m {\eta_j}/m\)

η tave :

Spanwise averaged time-averaged film cooling effectiveness, \(\sum\limits_{J = 1}^m {\sum\limits_{i = 1}^n {A_{ij}} \eta_{ij}} /\sum\limits_{i = 1}^m {\sum\limits_{i = 1}^n {A_{ij}}} \)

κ :

Enhancement factor, (ηtave_f - ηtave_0)/ηtave_0)

θ :

Nondimensional excess temperature, (Tre − Tc) / (T∞ − Tc)

S r :

Strouhal number, Df/U

R e :

Reynolds number, ρUD/μ

Φ:

Viscous dissipated energy

Cp:

Pressure coefficient, (p* - p)/(1 / 2 ρU2)

aw:

Adiabatic wall

c :

Coolant

∞:

Mainstream

ave:

Spanwise averaged

tave:

Spanwise averaged time-averaged

ta:

Time-averaged

tave_f:

Spanwise time-averaged of various swing frequencies

tave_0:

Spanwise time-averaged without swing frequencies

References

  1. S. Acharya and Y. Kanani, Advances in film cooling heat transfer, Advances in Heat Transfer (2017).

    Google Scholar 

  2. C. Liu, G. Xie, R. Wang and L. Ye, Study on analogy principle of overall cooling effectiveness for composite cooling structures with impingement and effusion, International J. of Heat and Mass Transfer, 127 (2018) 639–650.

    Article  Google Scholar 

  3. J.-H. Kim and K.-Y. Kim, Performance evaluation of a converging-diverging film-cooling hole, International J. of Thermal Sciences, 142 (2019) 295–304.

    Article  Google Scholar 

  4. G. Li, P. Yang, W. Zhang, Z. Wu and Z. Kou, Enhanced film cooling performance of a row of cylindrical holes embedded in the saw tooth slot, International J. of Heat and Mass Transfer, 132 (2019) 1137–1151.

    Article  Google Scholar 

  5. Y. S. Guan, X. Wang, H. Zhang and Y. Li, LBM study on unsteady flow and heat-transfer behaviors of double-row film cooling with various row spacings, International J. of Heat and Mass Transfer, 138 (2019) 1251–1263.

    Article  Google Scholar 

  6. S. Park, H. Chung, S. M. Choi, S. H. Kim and H. H. Cho, Design of sister hole arrangements to reduce kidney vortex for film cooling enhancement, J. of Mechanical Science and Technology, 31(8) (2017) 3981–3992.

    Article  Google Scholar 

  7. S. Rouina, M. Miranda and G. Barigozzi, Experimental investigation of the unsteady flow behavior on a film cooling flat plate, Energy Procedia, 101 (2016) 726–733.

    Article  Google Scholar 

  8. A. K. Sinha, D. G. Bogard and M. E. Crawford, Film-cooling effectiveness downstream of a single row of holes with variable density ratio, J. of Turbomachinery, 113(3) (1991) 442–449.

    Article  Google Scholar 

  9. T. W. Repko, A. C. Nix, S. C. Uysal and A. T. Sisler, Flow visualization of multi-Hole film-cooling flow under varying freestream turbulence levels, J. of Flow Control Measurement & Visualization, 4(1) (2016) 13–29.

    Article  Google Scholar 

  10. L. I. Guangchao, H. Wang, W. Zhang, Z. Kou and R. Xu, Film cooling performance of a row of dual-fanned holes at various injection angles, J. of Thermal Science, 26(5) (2017) 453–458.

    Article  Google Scholar 

  11. W. Colban, K. A. Thole and M. Haendler, A comparison of cylindrical and fan-shaped film-cooling holes on a vane endwall at low and high freestream turbulence levels, J. of Turbomachinery, 130(3) (2008) 528–544.

    Article  Google Scholar 

  12. W.-S. Fu, W.-S. Chao, M. Tsubokura, C.-G. Li and W.-H. Wang, Direct numerical simulation of film cooling with a fan-shaped hole under low Reynolds number conditions, International J. of Heat and Mass Transfer, 123 (2018) 544–560.

    Article  Google Scholar 

  13. J. E. Sargison, M. L. G. Oldfield, S. M. Guo, G. D. Lock and A. J. Rawlinson, Flow visualisation of the external flow from a converging slot-hole film-cooling geometry, Experiments in Fluids, 38(3) (2005) 304–318.

    Article  Google Scholar 

  14. S. Li, Z. Yuan and G. Chen, Numerical investigation of unsteady mixing mechanism in plate film cooling, Theoretical and Applied Mechanics Letters, 6 (2016) 213–221.

    Article  Google Scholar 

  15. S. I. Kim and I. Hassan, Unsteady heat transfer analysis of a film cooling flow, 46 thAiaa Aerospace Sciences Meeting and Exhibit, Reno, Nevada (2008).

    Google Scholar 

  16. S. I. Kim and I. Hassan, Unsteady simulations of a film cooling flow from an inclined cylindrical jet, J. of Thermo-physics & Heat Transfer, 24(1) (2010) 145–156.

    Article  Google Scholar 

  17. S. M. Coulthard, R. J. Volino and K. A. Flack, Effect of jet pulsing on film cooling: Part 1 — Effectiveness and flow-field temperature results, J. of Turbomachinery, 129(2) (2007) 232–246.

    Article  Google Scholar 

  18. S. M. Coulthard, R. J. Volino and K. A. Flack, Effect of jet pulsing on film cooling — Part II: Heat transfer results, J. of Turbomachinery, 129(2) (2006) 247–257.

    Article  Google Scholar 

  19. Y. Gao, X. Yan, J. Li and K. He, Investigations into film cooling and unsteady flow characteristics in a blade trailing-edge cutback region, J. of Mechanical Science and Technology, 32(10) (2018) 5015–5029.

    Article  Google Scholar 

  20. J. S. Lee and I. S. Jung, Effect of bulk flow pulsations on film cooling with compound angle holes, International J. of Heat & Mass Transfer, 45(1) (2002) 113–123.

    Article  Google Scholar 

  21. R. J. Fawcett, A. P. S. Wheeler, L. He and R. Taylor, Experimental investigation into unsteady effects on film cooling, J. of Turbomachinery, 134(2) (2011) 021015.

    Google Scholar 

  22. T. Yu. Izmodenova, N. N. Kortikov and N. B. Kuznetsov, Unsteady film cooling with imposed nonuniform pulsations of the main flow, Thermophysics & Aeromechanics, 15(4) (2008) 583–588.

    Google Scholar 

  23. Y. C. Seo and S. W. Lee, Aerodynamic losses for squealer tip with different winglets, J. of Mechanical Science and Technology, 33(2) (2019) 639–647.

    Article  Google Scholar 

  24. D. Zhang, L. Shi, R. Zhao, W. Shi, Q. Pan and B. P. M. (Bart) van Esch, Study on unsteady tip leakage vortex cavi-tation in an axial-flow pump using an improved filter-based model, J. of Mechanical Science and Technology, 31(2) (2017) 659–667.

    Article  Google Scholar 

  25. C. H. N. Yuen and R. F. Martinez-Botas, Film cooling characteristics of a single round hole at various streamwise angle in a crossflow: Part I. Effectiveness, International J. of Heat and Mass Transfer, 46(2) (2003) 221–235.

    Article  Google Scholar 

  26. B. Amar and D. Rabah, Numerical and experimental investigation of turbine blade film cooling, Heat & Mass Transfer, 53(12) (2017) 3443–3458.

    Article  Google Scholar 

Download references

Acknowledgments

This study was supported by the National Natural Science Foundation of China (Grant No. 51406124).

Author information

Authors and Affiliations

  1. School of Power and Energy, Northwestern Polytechnical University, Xian, China

    Wei Zhang & Hui-ren Zhu

  2. Department of Aero Engine, Shenyang Aerospace University, Shenyang, China

    Quan-peng Yu & Guang-chao Li

Authors
  1. Wei Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hui-ren Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Quan-peng Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Guang-chao Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wei Zhang.

Additional information

Recommended by Associate Editor Jaeseon Lee

Wei Zhang received her Ph.D. from School of Propulsion and Energy, Northwestern Polytechnical University, China. Her research interests include heat transfer and film cooling in space propulsion.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, W., Zhu, Hr., Yu, Qp. et al. Numerical study on unsteady film cooling performance under the mainstream swing condition. J Mech Sci Technol 33, 5527–5536 (2019). https://doi.org/10.1007/s12206-019-1046-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-019-1046-y

Keywords

Search

Navigation