An Optimal Shape Design Problem for Fan Noise Reduction

DOI: 10.4236/jsea.2010.36071   PDF        3,991 Downloads   7,407 Views   Citations


The objective of the present article is to find an optimal design of a fan inlet to reduce the amount of noise radiated to the far field from the system. Against the gradient-based optimization algorithms, we employ here a method based on measure theory which does not require any information of gradients and the differentiability of cost function.

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B. Farhadinia, "An Optimal Shape Design Problem for Fan Noise Reduction," Journal of Software Engineering and Applications, Vol. 3 No. 6, 2010, pp. 610-613. doi: 10.4236/jsea.2010.36071.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. E. F. Williams and L. H. Hall, “Aerodynamic Sound Generation by Turbulent Flow in the Vicinity of a Scatt- ering Half Plane,” Journal of Fluid Mechanics, Vol. 40, No. 4, 1970, pp. 657-670.
[2] M. S. Howe, “Trailing Edge Noise at Low Mach Num- bers,” Journal of Sound and Vibration, Vol. 225, No. 2, 1999, pp. 211-238.
[3] A. L. Marsden, M. Wang and J. E. Dennis, “Constrained Aeroacoustic Shape Optimization Using the Surrogate Management Framework,” Center for Turbulence Re- search, Annual Research Briefs, 2003.
[4] Y. Cao and D. Stanescu, “Shape Optimization for Noise Radiation Problems,” Computers and Mathematics with Applications, Vol. 44, No. 12, 2002, pp. 1527-1537.
[5] B. Farhadinia, “Shape Optimization of a Nozzle with Specified Flow Field Including Viscosity Effect,” Acta Applicandae Mathematicae, Vol. 104, No. 4, 2008, pp. 243-256.
[6] W. Rudin, “Real and Complex Analysis,” McGraw-Hill, New York and London, 1970.
[7] J. E. Rubio, “Control and Optimization: The Linear Treatment of Nonlinear Problems,” Manchester University Press, Manchester, 1986.

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