The KSFM Journal of Fluid Machinery (한국유체기계학회 논문집)

Korean Society for Fluid machinery (한국유체기계학회)
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Design Optimization of a Printed Circuit Heat Exchanger Using Surrogate Models

대리모델들을 이용한 인쇄형 열교환기의 최적설계

  • 이상문 (인하대학교 대학원 기계공학과) ;
  • 김광용 (인하대학교 기계공학부)
  • Received : 2011.04.21
  • Accepted : 2011.07.19
  • Published : 2011.11.01
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Abstract

Shape optimization of a Printed circuit heat exchanger (PCHE) has been performed by using three-dimensional Reynolds-Averaged Navier-Stokes (3-D RANS) analysis and surrogate modeling techniques. The objective function is defined as a linear combination of effectiveness of the PCHE term and pressure drop in the cold channels of the PCHE. The cold channel angle and the ellipse aspect ratio of the cold channel are used as design variables for the optimization. Design points are selected through Latin-hypercube sampling. The optimal point is determined through surrogate-based optimization method which uses 3-D RANS analyses at design points. The results of three types of surrogate model are compared each other. The results of the optimizations indicate improved performance in friction loss but low performance in effectiveness than the reference shape.

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References

  1. Dewson, S. J., Grady, C., 2003, HEATRIC Workshop at MIT, Cambridge, MA, U.S.A., October 2nd.
  2. McCormack, D., 2001. "The Application of Printed Circuit Heat Exchanger Technology in the Pebble Bed Modular Reactor Demonstration Plant," Proceedings of ASME Turbo Expo 2001, Louisiana, 2001-GT-0473.
  3. Ngo, L., Kato, Y., Nikitin, K. and Tsuzuki, N., 2006, "New Printed Circuit Heat Exchanger with S-shaped Fins for Hot water Supplier," Experimental Thermal and Fluid Science, Vol. 30, No. 8, pp. 811∼819. https://doi.org/10.1016/j.expthermflusci.2006.03.010
  4. Pra, F., Tochon, P., Mauget, C., Fokkens, J. and Willemsen, S., 2008. "Promising designs of compact heat exchangers for modular HTRs using the Brayton cycle," Nuclear Engineering and Design, Vol. 238, pp. 3160∼3173. https://doi.org/10.1016/j.nucengdes.2007.12.024
  5. Kim, I. H., No, H. C., Lee, J. I. and Jeon, B. G., 2010, "Thermal-hydraulic Behavior in a Deteriorated Turbulent Heat Transfer for a Gas-Cooled Reactor," Nuclear Engineering and Design, Vol. 240, pp. 783∼795. https://doi.org/10.1016/j.nucengdes.2009.11.004
  6. Kim, D. E., Kim, M. H., Cha, J. E. and Kim, S. O., 2008, "Numerical Investigation on Thermal-Hydraulic Performance of New Printed Circuit Heat Exchanger Model," Nuclear Engineering and Design, Vol. 238, pp. 3269∼3276. https://doi.org/10.1016/j.nucengdes.2008.08.002
  7. 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. https://doi.org/10.1016/j.paerosci.2005.02.001
  8. Goel, T., Haftka, R. T., Shyy, W. and Queipo, N. V., 2007, "Ensemble of Surrogates," Structural and Multidisciplinary Optimization, Vol. 33, No. 3, pp. 199∼216. https://doi.org/10.1007/s00158-006-0051-9
  9. Kim, J. H., Choi, J. H. and Kim, K. Y., 2010. "Surrogate Modeling for Optimization of a Centrifugal Compressor Impeller," International Journal of Fluid Machinery and Systems, Vol. 3, No. 1, pp. 29∼38. https://doi.org/10.5293/IJFMS.2010.3.1.029
  10. 이기돈, 김광용, 2009, "홴형상 막냉각홀의 신경회로망 기법을 이용한 최적설계," 유체기계저널, 제12권, 제4호, pp. 44∼53. https://doi.org/10.5293/KFMA.2009.12.4.044
  11. Lee, S. M. and Kim, K. Y., 2011, "Numerical Study of Thermal-hydraulic Performance in a Zigzag Printed Circuit Heat Exchanger," Nuclear Engineering and Design, in press.
  12. CFX-11.0 Solver Theory, 2006, Ansys Inc.
  13. Menter, F. R., 1994. "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications," AIAA Journal, Vol. 32, No. 8, pp. 1598∼1605. https://doi.org/10.2514/3.12149
  14. Bardina, J. E., Huang, P. G., Coakley, T., 1997, "Turbulence Modeling Validation," 28th AIAA Fluid Dynamics Conference, June 29-July 2, Snow Village, Colorado, USA, AIAA Paper 1997-2121.
  15. Mckay, M. D., Beckman, R. J. and Conover, W. J., 1979, "A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code," Technometrics, Vol. 21, pp. 239∼245. https://doi.org/10.2307/1268522
  16. Myers, R.H. and Montgomery, D. C., 1995, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley & Sons, INC., New-York.
  17. Sacks, J. W., Welch, J., Mitchell, T. J. and Wynn, H. P., 1989, "Design and analysis of computer experiments," Statistical Sci., Vol. 4, No. 4, pp. 409∼435. https://doi.org/10.1214/ss/1177012413
  18. MATLAB, The Language of Technical Computing, Release 2008a. The MathWorks Inc.