Scattering of cylindrical Gaussian pulse near an absorbing half-plane in a moving fluid

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作者
Amer Bilal Mann
Rab Nawaz
Mazhar Hussain Tiwana
机构
[1] Federal Urdu University of Arts,Department of Mathematical Sciences
[2] Science & Technology,Department of Mathematics
[3] COMSATS Institute of Information Technology,Department of Mathematics
[4] Govt. Postgraduate Gordon College,undefined
来源
Boundary Value Problems | / 2016卷
关键词
scattering; Gaussian pulse; Myers’ impedance condition;
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摘要
We investigate the scattering of Gaussian pulse by an absorbing half-plane satisfying Myers’ impedance conditions. The model problem is considered for a subsonic flow in a moving fluid. The Wiener-Hopf technique followed by the spatial and temporal Fourier transforms and method of Steepest descent enables us to develop the far field solution analytically. It is observed that the Myers’ impedance condition found higher-order accuracy of Mach number as compared with the results obtained while using Ingard’s condition. The solution to the underlying problem leads itself to the variety of problems thereby including the effects of Gaussian pulses.
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