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Propagation of sound in a duct with mean flow

Authors:	M. Ayub M.H. Tiwana A.B. Mann

Affiliation:	1. School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China;2. School of Statistics, Xi’an University of Finance and Economics, Xi’an 710100, China;1. Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000 Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, GT Road Wah, 47040, Pakistan;1. LAETA, CCTAE, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1, 1049-001 Lisboa, Portugal;2. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1, 1049-001 Lisboa, Portugal;1. Department of Mathematics and Statistics, University of Reading, Whiteknights, PO Box 220, Berkshire RG6 6AX, United Kingdom;2. University of Göttingen, Institute for Numerical and Applied Mathematics, Lotzestr. 16-18, 37083 Göttingen, Germany;3. Deutscher Wetterdienst, Frankfurter Str. 135, 63067 Offenbach, Germany

Abstract:	We have considered the problem of radiation of sound from a semi-infinite soft duct. This duct is symmetrically located inside a hard but infinite duct. The problem is solved when the whole fluid region inside these ducts is in motion with a constant fluid velocity. We obtained a closed form solution by using the integral transform and Wiener–Hopf technique. The graphical results are also presented which show that how effectively the unwanted noise can be reduced by proper selection of different parameters.

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