| Citation: | LI Haiwang, ZHANG Dawei, YOU Ruquan. Sensitivity analysis and optimal design of impingement/effusion cooling structural parameters considering thermal stress[J]. Journal of Aerospace Power, 2022, 37(11):2455-2464 doi: 10.13224/j.cnki.jasp.20220307 |
According to the development requirements of efficient cooling and safety and reliability of turbine blades, based on the surrogate model, the sensitivity analysis of the typical structural parameters of the impingement/effusion cooling structure such as injection angle, film plate thickness, impingement distance, spacing distance and diameter ratio of the film and impingement holes, affecting overall cooling effectiveness and maximum thermal stress was performed. Two optimization schemes, maximizing overall cooling effectiveness and simultaneously increasing overall cooling effectiveness and reducing maximum thermal stress, were realized. Results showed that the high thermal stress region appeared near the film cooling holes; the injection angle is the main factor affecting the cooling effectiveness and maximum thermal stress. There was a competitive relationship between the two optimization objectives. The overall cooling effectiveness was increased by 2.9%, and the maximum thermal stress was reduced by 12.5% through multi-objective optimization method.
| [1] |
HAN J C, DUTTA S, EKKAD S. Gas turbine heat transfer and cooling technology[M]. Florida: CRC Press, Taylor & Francis Group, 2012.
|
| [2] |
NEALY D A,REIDER S B. Evaluation of laminated porous wall materials for combustor liner cooling[J]. Journal of Engineering for Gas Turbines and Power,1980,102(2): 268-276.
|
| [3] |
ANDREWS G E, ASERE A A, HUSSAIN C I, et al. Impingement/effusion cooling: overall wall heat transfer[R]. ASME Paper 88-GT-290, 1988.
|
| [4] |
ZHOU W,DENG Q,FENG Z. Conjugate heat transfer analysis for laminated cooling effectiveness: Part A effects of surface curvature[R]. ASME Paper GT2016-57243,2016.
|
| [5] |
AL DABAGH A M,ANDREWS G E,ABDUL HUSAIN R A A,et al. Impingement/effusion cooling: the influence of the number of impingement holes and pressure loss on the heat transfer coefficient[J]. Journal of Turbomachinery,1990,112(3): 467-476. doi: 10.1115/1.2927682
|
| [6] |
CHO H H,DONG H R. Local heat/mass transfer measurement on the effusion plate in impingement/effusion cooling systems[J]. Journal of Turbomachinery,2001,123(3): 601-608. doi: 10.1115/1.1344904
|
| [7] |
RHEE D H,YOON P H,CHO H H. Local heat/mass transfer and flow characteristics of array impinging jets with effusion holes ejecting spent air[J]. International Journal of Heat and Mass Transfer,2003,46(6): 1049-1061. doi: 10.1016/S0017-9310(02)00363-0
|
| [8] |
CHO H H,RHEE D H,GOLDSTEIN R J. Effects of hole arrangements on local heat/mass transfer for impingement/effusion cooling with small hole spacing[J]. Journal of Turbomachinery,2008,130(4): 041003.1-041003.11.
|
| [9] |
LI X, HE Y, MAO R, et al. Experimental investigations on cooling hole diameters of an impingement-effusion cooling system[R]. ASME Paper GT2014-26521, 2014.
|
| [10] |
TAN Xiaoming,ZHANG Jingzhou,XU Huasheng. Experimental investigation on impingement/effusion cooling with short normal injection holes[J]. International Communications in Heat and Mass Transfer,2015,69: 1-10. doi: 10.1016/j.icheatmasstransfer.2015.09.005
|
| [11] |
ZHOU W, DENG Q, HE W, et al. Effects of hole pitch to diameter ratio P/D of impingement and film hole on laminated cooling effectiveness[R]. ASME Paper GT2017-64566, 2017.
|
| [12] |
OH S H, LEE D H, KIM K M, et al. Enhanced cooling effectiveness in full-coverage film cooling system with impingement jets[C]// Proceedings of the ASME Turbo Expo 2008: Power for Land, Sea, and Air. Berlin: American Society of Mechanical Engineer, 2008: 735-744.
|
| [13] |
DENG Q, ZHOU W, FENG Z. Conjugate heat transfer analysis for laminated cooling effectiveness: Part B effects of film hole incline angle[R]. ASME Paper GT2016-57256, 2016.
|
| [14] |
ZHANG X D,LIU J J,AN B T. The influences of element layout and coolant ejection angle on overall cooling effectiveness of laminated cooling configuration[J]. International Journal of Heat and Mass Transfer,2016,101: 988-991. doi: 10.1016/j.ijheatmasstransfer.2016.04.104
|
| [15] |
RAO Y,LIU Y,WAN C. Multiple-jet impingement heat transfer in double-wall cooling structures with pin fins and effusion holes[J]. International Journal of Thermal Sciences,2018,133: 106-119. doi: 10.1016/j.ijthermalsci.2018.07.021
|
| [16] |
XIE G,LIU C,YE L,et al. Effects of impingement gap and hole arrangement on overall cooling effectiveness for impingement/effusion cooling[J]. International Journal of Heat and Mass Transfer,2020,152: 119449.1-119449.16.
|
| [17] |
CARTER T J. Common failures in gas turbine blades[J]. Engineering Failure Analysis,2005,12(2): 237-247. doi: 10.1016/j.engfailanal.2004.07.004
|
| [18] |
WANG J, XU H, LÜ X, et al. A numerical investigation on fluid-thermal-structure coupling characteristics of laminated film cooling configurations[C]// Proceedings of the ASME Turbo Expo 2009: Power for Land, Sea, and Air. Orlando: American Society of Mechanical Engineer, 2009: 599-606.
|
| [19] |
KIM K M,MOON H,PARK J S,et al. Optimal design of impinging jets in an impingement/effusion cooling system[J]. Energy,2014,66: 839-848. doi: 10.1016/j.energy.2013.12.024
|
| [20] |
SKAMNIOTIS C,COCKS A C F. Designing against severe stresses at compound cooling holes of double wall transpiration cooled engine components[J]. Aerospace Science and Technology,2021,116: 106856.1-106856.24.
|
| [21] |
SKAMNIOTIS C,COURTIS M,COCKS A C F. Multiscale analysis of thermomechanical stresses in double wall transpiration cooling systems for gas turbine blades[J]. International Journal of Mechanical Sciences,2021,207: 106657.1-106657.20.
|
| [22] |
王湛,张超,刘建军. 平板圆孔气膜冷却的热弹耦合分析[J]. 航空动力学报,2015,30(6): 1298-1306. doi: 10.13224/j.cnki.jasp.2015.06.003
WANG Zhan,ZHANG Chao,LIU Jianjun. Thermoelastic coupling analysis of round-hole flat-plate film-cooling[J]. Journal of Aerospace Power,2015,30(6): 1298-1306. (in Chinese) doi: 10.13224/j.cnki.jasp.2015.06.003
|
| [23] |
王湛,张超. 平板气膜冷却热固耦合特性的分析[J]. 山东大学学报(工学版),2018,48(1): 65-70.
WANG Zhan,ZHANG Chao. Analysis on thermal-solid coupling properity of flat-plate film cooling[J]. Journal of Shandong University (Engineering Science),2018,48(1): 65-70. (in Chinese)
|
| [24] |
HAN Z. Improving adjoint-based aerodynamic optimization via gradient-enhanced Kriging[C]//50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Nashville: AIAA, 2012: 670.1-670.14.
|
| [25] |
JIANG Y T,WAN X C,MAGAGNATO F,et al. Multi-step optimizations of leading edge and downstream film cooling configurations on a high pressure turbine vane[J]. Applied Thermal Engineering,2018,134: 203-213. doi: 10.1016/j.applthermaleng.2018.02.012
|
| [26] |
JIANG Y T,LIN H F,YUE G Q,et al. Aero-thermal optimization on multi-rows film cooling of a realistic marine high pressure turbine vane[J]. Applied Thermal Engineering,2017,111: 537-549. doi: 10.1016/j.applthermaleng.2016.09.143
|
| [27] |
PARK S H,KANG Y J,SEO H J,et al. Experimental optimization of a fan-shaped film cooling hole with 30 degrees-injection angle and 6-hole length-to-diameter ratio[J]. International Journal of Heat and Mass Transfer,2019,144: 118652.1-118652.12.
|
| [28] |
王洪纲. 热弹性力学概论[M]. 北京: 清华大学出版社, 1989.
|
| [29] |
DEES J E,BOGARD D G,LEDEZMA G A,et al. Experimental measurements and computational predictions for an internally cooled simulated turbine vane[J]. Journal of Turbomachinery,2012,134(6): 061003.1-061003.9.
|
| [30] |
MENSCH A,THOLE K A,CRAVEN B A. Conjugate heat transfer measurements and predictions of a blade endwall with a thermal barrier coating[J]. Journal of Turbomachinery,2014,136(12): 2167-2178.
|
| [31] |
LOEPPKY J L,SACKS J,WELCH W J. Choosing the sample size of a computer experiment: a practical guide[J]. Technometrics,2009,51(4): 366-376. doi: 10.1198/TECH.2009.08040
|
| [32] |
ZAR J H. Significance testing of the Spearman rank correlation coefficient[J]. Journal of the American Statistical Association,1972,67(339): 578-580. doi: 10.1080/01621459.1972.10481251
|