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The traveling wave formulation of a splitting chamber containing reactive components

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Abstract

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.

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  1. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan

    Muhammad Afzal & Junaid Uzair Satti

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  1. Muhammad Afzal
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  2. Junaid Uzair Satti
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Afzal, M., Satti, J.U. The traveling wave formulation of a splitting chamber containing reactive components. Arch Appl Mech 91, 1959–1980 (2021). https://doi.org/10.1007/s00419-020-01864-3

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