The KSFM Journal of Fluid Machinery (한국유체기계학회 논문집)

Korean Society for Fluid machinery (한국유체기계학회)
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Design Optimization of a Fan-Shaped Film-Cooling Hole Using a Radial Basis Neural Network Technique

홴형상 막냉각홀의 신경회로망 기법을 이용한 최적설계

  • 이기돈 (인하대학교 대학원 기계공학과) ;
  • 김광용 (인하대학교 기계공학부)
  • Published : 2009.08.01
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Abstract

Numerical design optimization of a fan-shaped hole for film-cooling has been carried out to improve film-cooling effectiveness by combining a three-dimensional Reynolds-averaged Navier-Stokes analysis with the radial basis neural network method, a well known surrogate modeling technique for optimization. The injection angle of hole, lateral expansion angle of hole and ratio of length-to-diameter of the hole are chosen as design variables and spatially averaged film-cooling effectiveness is considered as an objective function which is to be maximized. Twenty training points are obtained by Latin Hypercube sampling for three design variables. Sequential quadratic programming is used to search for the optimal point from the constructed surrogate. The film-cooling effectiveness has been successfully improved by the optimization with increased value of all design variables as compared to the reference geometry.

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References

  1. Gritsch, M., Schulz, A., and Wittig, S., 1998, "Adiabatic Wall Effectiveness MEasurements of Film-Cooling Holes With Expanded Exits," ASME Journal of Turbomachinery, Vol. 120, pp. 549~556 https://doi.org/10.1115/1.2841752
  2. Sumwebe, C., Schulz, A., and Witting, S., 2003, "Free-stream Turbulence Effects on Film Cooling With Shaped Holes," ASME Journal of Turbomachinery, Vol.125, pp. 65~73 https://doi.org/10.1115/1.1515336
  3. Ryu, W. T., Kim, D. K., Kim, D. S., Kim, K. S., and Yoon, S. H., 2002, "The Characteristics of Film-Cooling Effectiveness on a Turbine-Blade-Shaped Surface," Trans. Of KSME(B), Vol. 26, No. 3, pp. 384~392
  4. Saumweber, C., and Schulz, A., 2008, "Effect of Geometry Variations on the Cooling Holes," ASME Turbo Expo 2008, Berlin, GT2008-51038
  5. Reiss, H., and Bolcs, A., 2000, "Experimental Study of Showerhead Cooling on a Cylindrical and Shaped Holes," ASME Journal of Turbomachinery, Vol. 122, pp. 161~169 https://doi.org/10.1115/1.555420
  6. Saumweber, C., and Schulz, A., 2008, "Free-Stream Effects on the Cooling Performance of Cylindrical and Fan-Shaped Cooling Holes," ASME Trubo Expo 2008, Berlin, GT2008-51030
  7. Walter, D. K., and Leylek, J. H., 2000, "A Detailed Analysis of Film-Cooling Physics: Part1-Streamwise Injection with Cylindrical Holes," ASME Journal of Turbomachinery, Vol. 122, pp.102~112 https://doi.org/10.1115/1.555433
  8. Lutum, E., and Johnson, B. V., 1999, "Influence of the Hole Lenth-to Diameter Ratio on Film Cooling With Cylindrical Holes," ASME Journal of Turbomachinery, Vol. 121, pp. 209~216 https://doi.org/10.1115/1.2841303
  9. Burd, S. W., Kaszeta, R. W., and Simon, T. W., 1998, "Hole L/D and Turbulence Intensity Efects," Journal of Turbomachinery, Vol. 129, pp. 791~798
  10. Yuen, C. H. N., and Martinex-Botas, R. F., 2003, "Film cooling characteristics of a single round hole at various streawise angle in a crossflow: Part~ effectiveness," Journal of Heat and Mass Transfer, Vol. 26, pp. 221~235
  11. Bernsdorf, M. G. Rose, and Abhari, R. S., 2005, "Modeling of Film Cooling-PART 1: Experimental Study of Flow Structure," ASME Turbo Expo, Nevada, GT2005-68783
  12. Bunker, R. S., 2005, "A Review of Shaped Hole Turbine Film-Cooling Technology," Journal of Heat Transfer, Vol. 127, pp. 441~453 https://doi.org/10.1115/1.1860562
  13. Bohn, D., and Moritx, N., 2003, "Numerical Parametric Study on Full Coverage Cooled Multi-Layer Plates," Proceeding of the International Gas Turbine Congress 2003, Tokyo, IGT2003 Tokyo TS-84
  14. Hyams, D. G., and Leylek, J. H., 2000, "A Detailed Analysis of Film Cooling Physics: Part3-Streamwise Injection With Shaped Holes," ASME Journal of Turbomachinery, Vol. 122, pp. 122~132 https://doi.org/10.1115/1.555435
  15. Azzi, A., and Jubran, B. A., 2007, "Numerical modeling of film cooling from converging slot-hole," Heat Mass Transefer, Vol. 43, pp. 381~388
  16. Miao, J. M., and Wu, C. Y., 2006, "Numerical approach to hole shape effect on film cooling effectiveness over flat plate including internal impingement cooling chamber," International Journal of Heat and Mass Transfer, Vol. 49, pp. 919~038 https://doi.org/10.1016/j.ijheatmasstransfer.2005.09.015
  17. Leedom, D. H., and Acharya, S., 2008, "Large Eddy Simulation of Film Cooling Flow Field From Cylindrical and Shaped Holes, " ASME Trubo Expo 2008, Berlin, GT2008-51009
  18. Mahmood, S., Kassab, A. J., and Divo, E., 2005, "Film Cooling Effectiveness from a Single Scaled-Up Fan-Shaped Hole: A CFD Simulation of Adiabatic and Conjugate Heat Transfer Models," ASME Turbo Expo, Nevada, GT2005-68431
  19. Vanderplaats, G. V., 1984, "Numerical optimization techniques for engineering design with applications," NewYork: McGraw-Hill
  20. Queipo, N. V., Haftka, R. T., Shyy, W., Goel, T., Vaidyanathan, R., and Tucker, P. K., 2005, "Surrogate-based analysis and optimization," Progress in Aerospace Science, Vol. 41, pp. 1~28
  21. Orr, M. J. L., "Introduction to radial basis neural networks," Center for cognitive science, Edinburgh University, Scotland, UK
  22. JMP ${\circledR}$ 5.1, 2004, SAS Institute, Inc
  23. CFX-11.0 Solver Theory, Ansys inc., 2006
  24. Menter, F., and Esch, T., 2001, "Elements of Industrial Heat Transfer Prediction," 16^{th} Bazilian Congress of Mechnacal Engineering (COBEM), UberlandiaBrazil
  25. Wilcox, D. D., 1986, "Multiscale model for turbulent flows," In AIAA 24^{th} Aerospace Science Meeting. American Institute of Aeronautics and Astronautics
  26. Bardina, J. E., Huang, P. G., and Coakley, T., 1997, "Turbaulence Modeling Validation," Fluid Dynamics Conference 28^{th} , AIAA Paper 1997-2121
  27. MATLAB ${\circledR}$, The language of technical computing, Release 14, The Math Works Inc
  28. Lee, S. W., Lee, S. J., and Ro. R. T., 1994, "Experimental Study on the Flow Characteristics of Stremwise Inclined Jets in Corssflow in Flat Plate," ASME Journal of Turbomachinery, Vol. 116, pp. 97~105 https://doi.org/10.1115/1.2928283
  29. Haven, B. A., and Kurosaka, M., 1997, "Kidney and anti-Kidney vortices in corssflow jets," Fluid Mech., Vol. 352, pp.27~64 https://doi.org/10.1017/S0022112097007271

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