JSEA  Vol.3 No.6 , June 2010
An Optimal Shape Design Problem for Fan Noise Reduction
Author(s) Bahram Farhadinia*
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.

Cite this paper
nullB. 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.
[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.