Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Assessment of Numerical Optimization Algorithms in Design of Low-Noise Axial-Flow Fan

축류송풍기의 저소음 설계에서 수치최적화기법들의 평가

  • 최재호 (인하대학교 대학원 기계공학과) ;
  • 김광용 (인하대학교 기계항공자동화공학부)
  • Published : 2000.10.01
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Abstract

Three-dimensional flow analysis and numerical optimization methods are presented for the design of an axial-flow fan. Steady, incompressible, three-dimensional Reynolds-averaged Navier-Stokes equations are used as governing equations, and standard k- ${\varepsilon}$ turbulence model is chosen as a turbulence model. Governing equations are discretized using finite volume method. Steepest descent method, conjugate gradient method and BFGS method are compared to determine the searching directions. Golden section method and quadratic fit-sectioning method are tested for one dimensional search. Objective function is defined as a ratio of generation rate of the turbulent kinetic energy to pressure head. Two variables concerning sweep angle distribution are selected as the design variables. Performance of the final fan designed by the optimization was tested experimentally.

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References

  1. Hicks, R. M. Murman, E. M., Vanderplaats, G. N., 1974, 'An Assessment of Airfoil Design by Numerical Optimization,' NASA TM X-3092
  2. Rao, S. S., Gupta, R. S., 1980, 'Optimum Design of Axial Flow Gas Turbine Stage - Part I: Formulation and Analysis of Optimization Problem,' J. Engineering for Power, Vol 102, pp. 782-789
  3. Ainley, D. G. Mathieson, G. C. R. 1957, 'A Method of Performance Estimation for Axial-Flow Turbine,' H.M.S.O., A.R.C., R&M 2974
  4. Dunham, J. and Came, P. M., 1970, 'Improvements to the Ainley-Mathieson Method of Turbine Performance Prediction,' ASME Paper No. 70-GT-2
  5. Massardo, A., Satta. A., 1989, 'Axial Flow Compressor Design Optimization: Part I - Pitchline Analysis and Multivariable Objective Function Influence,' ASME paper No. 89-GT-201
  6. Joh, C.-Y., Grossman, B., Haftka, R. T., 1991, 'Design Optimization of Transonic Airfoils,' Proceedings of the Third International Conference on Inverse Design Concepts and Optimization in Engineering Sciences (ICIDES- III) (Washington, DC), edited by G. S. Dulikravich, pp. 445-456
  7. Baysal, O., Eleshaky, M. E., 1991, 'Aerodynamic Sensitivity Analysis Methods for the Compressible Euler Equations,' J. Fluids Engineering, Vol. 113, pp. 681-688
  8. Kim, K. Y., Choi, J. H., Chen, X., Kim, T. J. and Rcw, H. S., Oct. 1995, 'Application of Numerical Optimization Technique with Three Dimensional Navier-Stokes Solver to The Design of An Axial-Flow Fan,' 2nd International Conference on Pumps and Fans, Tsinghua Univ., Beijing, Vol. 1, pp. 169-178
  9. Choi, J. H., Kim, K. Y. and Chung, D. S., 1998, 'Numerical Optimization for Design of an Automotive Cooling Fan,' Journal of Passenger Cars - SAE 1997 Transactions, Vol. 106, Section 6, Part 1, pp. 1485-1489
  10. Arora, J. S., 1989, Introduction to Optimum Design, McGraw-Hill Book Co.
  11. Belegundu, A. D. and Chandrupatla, T. R., 1999, Optimization Concepts and Applications in Engineering, Prentice Hall
  12. Beiler, M. B., Carolous, T. H., 1999, 'Computation and Measurement of the Flow in Axial Flow Fans with Skewed Blades,' J. of Turbomachinery, Vol. 121, pp. 59-66
  13. Katsuhisa, O., Sadao, A., 1990, 'Noise Reduction of Shortly Ducted Fan by Using Forward Swept and Inclined Blade,' AIAA, Aeroacoustics Conference, 13th, Tallahassee, FL, paper No. 90-3986
  14. Kawaguchi, K., et. al., 1993, 'Study on Low-Noise Fan(Noise Reduction of Pusher- Type Condenser Cooling Fan),' JSME (B), Vol. 59, No. 558, pp. 137-143
  15. 김광용, 김정엽, 정덕수, 1997, '축류송풍기의 삼차원유동장해석', 대한기계학회논문집, 제21권 4호, pp 541-550
  16. Launder, B. E. and Spalding, D. B., 1974, 'The Numerical Computational of Turbulent Flows,' Computer Methods in Applied Mechanics and Engineering, Vol. 3, pp. 269-289 https://doi.org/10.1016/0045-7825(74)90029-2
  17. Stone, H. L., 1968, 'Iterative Solution of Implicit Approximations of Multi-dimensional Partial Differential Equations,' SIAM J. Num. Anal., Vol. 5, p. 530 https://doi.org/10.1137/0705044
  18. Van Doormal J. P. and Raithby G. D., 1984, 'Enhancement of the SIMPLE Method for Predicting Incompressible Fluid Flows,' Numerical Heat Transfer, Vol. 7, pp. 147-163
  19. Abbott, I. H. and Von Doenhoff, A. E., 1959, 'Theory of Wing Sections Including a Summary of Airfoil Data,' Dover Publications