A note on acoustic diffraction by an absorbing finite strip in a moving fluid

Rab Nawaz ()
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Rab Nawaz: Comsats Institute of Information Technology

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 6, 571-589

Abstract: Abstract The problem of cylindrical acoustic wave diffraction from an absorbing finite barrier in a moving fluid has been investigated in an improved form. The diffracted field in the far zone has already been discussed in [1], but due to some mathematical complications, the absorbing parameter was ignored in that study. In the present analysis, the absorbing parameter is taken into account up to order one and presented in a better form solution. Moreover, the solution obtained in this analysis can be used to recover the results for the case of semi-infinite barrier [2] by taking an appropriate limit l → ∞. The results for still fluid can also be gathered by taking the value of Mach number to be zero. The integral transforms, Wiener-Hopf techniques and asymptotic expansions are used to acquire the diffracted field in the far zone. Finally, the solution is well supported by the graphical results showing the effects of various physical parameters on the separated field.

Keywords: Diffraction; absorbing finite barrier; Wiener-Hopf; far field (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0034-z

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