한국유체기계학회 논문집 (The KSFM Journal of Fluid Machinery)

한국유체기계학회 (Korean Society for Fluid machinery)
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V-형 리브가 부착된 냉각유로의 형상 최적설계

Shape Optimization of Cooling Channel with V-shaped Ribs

  • 이영모 (인하대학교 대학원 기계공학과) ;
  • 김광용 (인하대학교 기계공학부)
  • 발행 : 2007.04.01
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초록

A numerical procedure for optimizing the shape of three-dimensional channel with V-shaped ribs extruded on both walls has been carried out to enhance the turbulent heat transfer. The response surface based optimization is used as an optimization technique with Reynolds-averaged Wavier-stoked analysis. Shear stress transport (SST) turbulence model is used as a turbulence closure. Computational results for average heat transfer rate show good agreements with experimental data. The objective function is defined as a linear combination of heat transfer and friction loss-related terms with a weighting factor. Three dimensionless variables such as, rib pitch-to-rib height ratio, rib height-to-channel height ratio, and the attack angle of the rib are chosen as design variables. Nineteen training points obtained by D-optimal designs for three design variables construct a reliable response surface. In the sensitivity analysis, it is found that the objective function is most sensitive to the ratio of rib height-to-channel height ratio. And, optimal values of design variables have been obtained in a range of the weighting factor.

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참고문헌

  1. J. C. Han, Y. M. Chang and C. P. Lee, 1991 'Augmented Heat Transfer in Square Channels with Parallel, Crossed and V-shaped Angled ribs,' Journal of Heat Transfer, Vol. 113, No. 3, pp. 590-596 https://doi.org/10.1115/1.2910606
  2. H. Sato, K. Hishida and M. Maeda, 1992, 'Characteristics of Turbulent Flow and Heat Transfer in a Rectangular Channel With Repeated Rib Roughness,' Experimental Heat Transfer, Vol. 5, pp. 1-16 https://doi.org/10.1080/08916159208946429
  3. M. E. Taslim, T. Li and D. M. kercher, 1996, 'Experimental Heat Transfer and Friction in Channels Roughened with Angled, V-shaped, and Discrete Ribs on Two Opposite Walls,' Journal of Turbomachinery, Vol. 119, pp. 381-389 https://doi.org/10.1115/1.2841122
  4. R. T. Kukreja, S. C. Lau and R. D. Mcmillin, 1993, 'Local Hear/mass transfer distribution in a square channel with full and V-shaped ribs,' International Journal of Heat and Mass Transfer, Vol. 36, No. 8, pp. 2013-2020 https://doi.org/10.1016/S0017-9310(05)80132-2
  5. M. E. Taslim, C. M. Wadsworth, 1997, 'An Experimental Investigation of the Rib Surface-Avraged Heat Transfer Coefficient in a Rib Roughened Square Passage,' Journal of Turbomachinery, Vol. 119, pp. 381-389 https://doi.org/10.1115/1.2841122
  6. R. Jia, A. Saidi, and B. Sunden, 2002, 'Heat Transfer Enhancement In Square Ducts With V-shaped Ribs of Various Angles,' Proceedings of ASME TURBO EXPO 2002, Amsterdam, June 3-6, GT-2002-30209
  7. K. Abe, T. Kondoh and Y. Nagano, 1994, 'A New Turbulence Model for Predicting Fluid Flow and Heat Transfer in Separating and Reattaching Flows-I Flow Field Calculation,' International Journal of Heat and Mass Transfer, Vol. 37, pp. 139-151 https://doi.org/10.1016/0017-9310(94)90168-6
  8. G. Su and H. C. Chen, J C. Han, 2003 'Computation of Flow and Heat Transfer in Rotating Rectangular Channels (AR=4) with V-shaped Ribs by A Reynolds Stress Turbulence Model,' Proceedings of ASME TURBO EXPO 2003, Atlanta, June 16-19, GT2003-38348
  9. H. M. Kim and K. Y. Kim, 2004, 'Design Optimization of Rib-roughened Channel to enhance turbulent Heat Transfer,' International Journal of Heat and Mass Transfer, Vol. 47, Issue 23, pp. 5159-5168 https://doi.org/10.1016/j.ijheatmasstransfer.2004.05.035
  10. H. M. Kim and K. Y. Kim, 2004, 'Shape Design of Heat Transfer Surfaces with Angled Ribs Using Numerical Optimization Techniques,' Transaction of KSME B, Vol. 28, No. 9, pp. 1051-1057 https://doi.org/10.3795/KSME-B.2004.28.9.1051
  11. H. M. Kim and K. Y. Kim, 2004, 'Design Optimization of Three-dimensional Channel Roughened by Oblique Ribs Using Response Surface Method,' Transaction of KSME B, Vol. 28, No. 7, pp. 879-886 https://doi.org/10.3795/KSME-B.2004.28.7.879
  12. H. M. Kim and K. Y. Kim, 2004, 'Shape Optimization of Heat Transfer Surfaces with Staggered Ribs to Enhance Turbulent Heat Transfer,' Transaction of KSME B, Vol. 27, No. 9, pp. 1351-1359
  13. Myers, R. H. and Montgomery, C. C., 1995, 'Response Surface Methodology: Progress and Product Optimization Using Designed Experiments,' John Wiley & Sons
  14. K. Y. Kim and S. S. Kim, 2002, 'Shape Optimization of Rib-roughened Surface to Enhance Turbulent Heat Transfer,' International Journal of Heat and Mass Transfer, Vol. 45, Issue 13, pp. 2719-2727 https://doi.org/10.1016/S0017-9310(01)00358-1
  15. CFX -5.7.1 Solver Theory, Ansys Inc., 2005
  16. Menter, F. and Esch, T., 2001, 'Elements of Industrial heat Transfer Predictions,' 16th Bazilian Congress of Mechanical Engineering, Uberlandia, Brazil
  17. Bardina, J. E., Huang, P. G. and Coakley, T., 1997, 'Turbulence Modeling Validation,' AIAA Paper 97-2121
  18. Ahn, C. S. and Kim, K. Y., 2003, 'Aerodynamic Design Optimization of a Compressor Rotor with Navier-StokesAnalysis,' Proceedings of The Institution of Mechanical Engineers, Part A – J. Power and Energy, Vol. 217, pp. 179-184 https://doi.org/10.1243/09576500360611209
  19. Sobieszczanski-Sobieski, J. and Haftka, R. T., 1996, 'Multi Disciplinary AerospaceDesign Optimization: Survey of Recent Development,' AIAA 96-0711
  20. Shyy, W., Papila, N., Vaidyanathan, R. and Tucker, K., 2001, 'Global Design Optimization for Aerodynamics and Rocket Propulsion Components,' Progress in Aerospace Sciences, Vol. 37, pp. 59-118 https://doi.org/10.1016/S0376-0421(01)00002-1
  21. Lopez, J. R, Anand, N. K. and Fletcher, L. S., 1996, 'Heat Transfer in a Three-Dimensional Channel with Baffles,' Numerical Heat Transfer, Part A 30, pp. 189-205 https://doi.org/10.1080/10407789608913835
  22. Rau, G., Cakan, M., Moeller, D. and Arts, T., 1998, 'The Effect of Periodic Ribs on the Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel,' ASME J. of Turbomachinery, Vol. 120, pp. 368-375 https://doi.org/10.1115/1.2841415
  23. Jia, R. and Sunden, B., 2003, 'Prediction of Turbulent Heat Transfer and Fluid Flow in 2D Channels Roughened by Square and Deformed Ribs,' ASME GT-2003-38226
  24. Berger, F. P. and Hau, L. F., 1979, 'Local Mass /Heat Transfer Distribution on Surface Roughened with Small Square Ribs,' Int. J. Heat Mass Transfer, Vol. 22, pp. 1645-1656 https://doi.org/10.1016/0017-9310(79)90081-4
  25. Cho, H. H., Lee, S. Y. and Wu, S. J., 2001, 'The Combined Effects of Rib Arrangements and Discrete Ribs on Local Heat/Mass Transfer in a Square Duct,' IGTI Turbo Expo Paper No. 2001-GT -0175, Louisiana, USA
  26. Tatsumi, K., Iwai, J. and Suzuki, K., 2003, 'The Effects of Oblique Discrete Rib Arrangement on Heat Transfer Performance of a Square Duct,' Proceedings of the International Gas Turbine Congress 2003, Tokyo, November 2-7, IGTC2003Tokyo TS-082
  27. Guinta, A. A., 1997, 'Aircraft Multidisciplinary Design Optimization Using Design of Experimental Theory and Response Surface Modeling Methods,' Ph. D. Dissertant, Department of Aerospace Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA