Taguchi Based Regression Analysis of End-Wall Film Cooling in a Gas Turbine Cascade with Single Row of Holes
-
D. Ravi
and
K. M. Parammasivam
Abstract
Numerical investigations were conducted on a turbine cascade, with end-wall cooling by a single row of cylindrical holes, inclined at 30°. The mainstream fluid was hot air and the coolant was CO2 gas. Based on the Reynolds number, the flow was turbulent at the inlet. The film hole row position, its pitch and blowing ratio was varied with five different values. Taguchi approach was used in designing a L25 orthogonal array (OA) for these parameters. The end-wall averaged film cooling effectiveness (
Nomenclature
- Ch
Chord of the blade profile, m
- D
Film hole diameter, m
- H
Blade height, m
- L
Film Hole length, m
- HSV
Horse shoe vortex
- LE
Leading edge of the blade
- M
Blowing ratio
- Ma
Mach number
- P
Blade pitch in the cascade, m; Film hole pitch, m; Pressure, Pa
- PS
Pressure side of the blade
- Re
Reynolds number, refer eq. (1)
- S
Distance along the blade profile from LE to TE
- SS
Suction side of the blade
- T
Temperature of fluid/wall, K
- TE
Trailing edge of the blade
- Greek symbols
- α
Film hole inclination angle, deg.
- γ
Film hole orientation angle, deg.
- ρ
Density, kg/m3
- η
Adiabatic film cooling effectiveness, refer eq. (2)
Uncertainty
- Subscripts
- c
Coolant
- m
Mainstream
- w
Wall
- f
Film
- p
Pitch wise
- Superscripts
- *
Dimensionless value of a parameter, refer eq. (3)
- –
Averaged property being discussed
References
1. Ligrani PFM, Lee JS. Film cooling from a single row of compound angle holes at high blowing ratios. Int J Rotating Mach 1996;2:259–67.10.1155/S1023621X96000139Search in Google Scholar
2. Gritsch M, Schulz A, Wittig S. Effect of cross flows on the discharge coefficient of film cooling holes with varying angles of inclination and orientation. ASME J. Turbomach 2001;123:781–7.10.1115/1.1397306Search in Google Scholar
3. Tyagi M, Acharya S. Large eddy simulation of film cooling flow from an inclined cylindrical jet. ASME J. Turbomach 2003;125:734–42.10.1115/1.1625397Search in Google Scholar
4. Bogard DG, Thole KA. Gas turbine film cooling. AIAA J Propul Power 2005;22:249–70.10.2514/1.18034Search in Google Scholar
5. Barigozzi G, Franchini G. End-wall film cooling through fan-shaped holes with different area ratios. ASME J Turbomach 2007;129:212–20.10.1115/1.2464140Search in Google Scholar
6. Heidmann D, Ekkad S. A novel antivortex turbine film-cooling hole concept. ASME J Turbomach 2008;130/031020:1–9.10.1115/1.2777194Search in Google Scholar
7. Sundaram N, Thole KA. Film-cooling flow fields with trenched holes on an end wall,. ASME J Turbomach 2009;131/041007:1–10.10.1115/1.3068316Search in Google Scholar
8. Colban WF, Thole KA, Bogard D. A film-cooling correlation for shaped holes on a flat-plate surface. ASME J Turbomach 2011;133/ 01002:1–1110.1115/GT2008-50121Search in Google Scholar
9. Thrift Thole KA. Influence of flow injection angle on a leading-edge horseshoe vortex. Int J Heat Mass Trans 2012;55:4651–64.10.1016/j.ijheatmasstransfer.2012.04.024Search in Google Scholar
10. Lim CH, Pullan G, Ireland PF. Influence of film cooling hole angles and geometries on aerodynamic loss and net heat flux reduction. ASME J Turbomach 2013;135/051019:1–13.10.1115/GT2011-45721Search in Google Scholar
11. Kawabata H, Funazaki K, Nakata R, Takahashi D. Experimental and numerical investigations of effects of flow control devices upon flat-plate film cooling performance. ASME J Turbomach 2014;136/061021:1–11.10.1115/GT2013-95197Search in Google Scholar
12. Gratton AR. Measurements and Predictions of Heat Transfer for a First Vane Design. MS Thesis Virginia Polytechnic Institute and State University 2004.Search in Google Scholar
13. Lin JL, Wang KS, Yan BH, Tarng YS. Optimization of electrical discharge machining process based on the Taguchi method with fuzzy logics. J Mater Proc Technol 2000;102:48–55.10.1016/S0924-0136(00)00438-6Search in Google Scholar
14. Kang J, Hadfield M. Parameter optimization by Taguchi methods for finishing advanced ceramic balls using a novel eccentric lapping machine. Proc Inst Mech Eng 2001;215–B:69–78.10.1243/0954405011515145Search in Google Scholar
15. Phadke MS. Quality engineering using robust design. Englewood cliffs, NJ: Prentice Hall, 1989.Search in Google Scholar
16. Ross PFJ. Taguchi techniques for quality engineering. New York: McGraw Hill, 1996.Search in Google Scholar
17. Shaji S, Radhakrishnan V. Analysis of process parameters in surface grinding with graphite as lubricant based on the Taguchi method. J Mater Proc Technol 2003;141:51–9.10.1016/S0924-0136(02)01112-3Search in Google Scholar
18. Minitab Statistical Software, Release 16, User’s Manual, Minitab, Inc. State College, Pennsylvania, 2009.Search in Google Scholar
19. Ansys Fluent 15.0 User Manual documentation, SAS IP, Inc, 2013.Search in Google Scholar
20. Patankar SV. Numerical heat transfer and fluid flow. Washington, DC: Hemisphere, 1980.Search in Google Scholar
21. Vickery W, Iacovides H. Computation of gas turbine blade film cooling. 11th UK National Heat Transfer Conference, 2009.Search in Google Scholar
22. Holman JP, Experimental methods for engineers, 7th ed. Tata McGraw-Hill Publishing Company Limited, New Delhi. 2007.Search in Google Scholar
©2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Experimental Investigation on the Ignition Delay Time of Plasma-Assisted Ignition
- Effect of Inlet Clearance on the Aerodynamic Performance of a Centrifugal Blower
- Alternative Method to Simulate a Sub-idle Engine Operation in Order to Synthesize Its Control System
- Aerodynamic Design and Numerical Analysis of Supersonic Turbine for Turbo Pump
- A Comparison of Hybrid Approaches for Turbofan Engine Gas Path Fault Diagnosis
- Optimization of a Turboprop UAV for Maximum Loiter and Specific Power Using Genetic Algorithm
- Taguchi Based Regression Analysis of End-Wall Film Cooling in a Gas Turbine Cascade with Single Row of Holes
- Numerical Investigation of Cowl Lip Adjustments for a Rocket-Based Combined-Cycle Inlet in Takeoff Regime
Articles in the same Issue
- Frontmatter
- Experimental Investigation on the Ignition Delay Time of Plasma-Assisted Ignition
- Effect of Inlet Clearance on the Aerodynamic Performance of a Centrifugal Blower
- Alternative Method to Simulate a Sub-idle Engine Operation in Order to Synthesize Its Control System
- Aerodynamic Design and Numerical Analysis of Supersonic Turbine for Turbo Pump
- A Comparison of Hybrid Approaches for Turbofan Engine Gas Path Fault Diagnosis
- Optimization of a Turboprop UAV for Maximum Loiter and Specific Power Using Genetic Algorithm
- Taguchi Based Regression Analysis of End-Wall Film Cooling in a Gas Turbine Cascade with Single Row of Holes
- Numerical Investigation of Cowl Lip Adjustments for a Rocket-Based Combined-Cycle Inlet in Takeoff Regime
