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

Boundary value problems

Rab Nawaz¹  Amer Bilal Mann²  Mazhar Hussain Tiwana³ 

[1] Technology, Islamabad, Pakistan;Department of Mathematical Sciences, Federal Urdu University of Arts, Science &Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan;Department of Mathematics, Govt. Postgraduate Gordon College, Rawalpindi, Pakistan

关键词: scattering;    Gaussian pulse;    Myers’ impedance condition;   

DOI  :  10.1186/s13661-016-0596-5

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY