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The traveling wave formulation of a splitting chamber containing reactive components
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-01-06 , DOI: 10.1007/s00419-020-01864-3
Muhammad Afzal , Junaid Uzair Satti

The present work investigates the traveling wave formulation and their scattering characteristics in a waveguide having splitting expansion chamber. The segments of the chamber contain sandwiched elastic components backed by rigid cavities and absorbent linings. The structure is radiated by a plane wave mode incident which scatter on interaction with the expansion chamber. The mode-matching (MM) solution is developed to investigate the attenuation of fluid–structure coupled/uncoupled waves with reference to the properties of elastic components and absorbent material. The eigenmodes of segments comprising elastic components are non-orthogonal, and use of generalized orthogonal characteristics yields the convergent solution. The MM solution is validated altogether through apposite mathematical and physical arguments. Moreover, in low-frequency regime, the MM results are compared with low-frequency approximation, and a good agreement is found. Furthermore, it is observed that the characteristics of elastic components and the properties of absorbent material significantly affect the transmission loss, absorbing power and scattering energies.



中文翻译:

含有反应性成分的分流室的行波公式

本工作研究了具有分离式膨胀室的波导中的行波公式及其散射特性。腔室的各部分包含夹有弹性的组件,这些组件由刚性腔体和吸收性衬里支撑。该结构由平面波模式入射辐射,该平面波模式入射在与膨胀室相互作用时发生散射。开发了模式匹配(MM)解决方案,以参考弹性组件和吸收性材料的特性来研究流体-结构耦合/非耦合波的衰减。包含弹性分量的线段的本征模是非正交的,使用广义正交特性会产生收敛解。MM解决方案通过适当的数学和物理参数进行了全面验证。此外,在低频状态下,将MM结果与低频近似进行比较,发现有很好的一致性。此外,观察到弹性组分的特性和吸收材料的特性显着影响传输损耗,吸收能力和散射能。

更新日期:2021-01-06
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