Reflection coefficient of a dominant mode in a trifurcated duct of soft walls in the presence of mean flow

In this study, the propagation of a fundamental plane mode in a bifurcated waveguide structure with soft–hard boundaries is analyzed by using the Helmholtz equation. The explicit solution is given to this bifurcated spaced waveguide problem by means of matching the potential across the boundary of continuity. Amplitudes of the reflected field in all those regions have been evaluated, and the energy balance has been derived. We have observed the reflection of the acoustic wave against the wavenumber and shown its variation with the duct width. Convergence of the problem has been shown graphically. In our analysis, we notice that the reflected amplitude decreases as the duct spacing increases; as a result, the acoustic energy will increase as the duct spacing increases. It is expected that our analysis could be helpful to give better understanding of wave reflection in an exhaust duct system. We then reduce the linear acoustic wave equation to the Kadomtsev–Petviashvili (KP) equation. Multiple-periodic wave interaction solutions of the KP nonlinear wave equation are investigated, and the energy transfer mechanism between the primary and higher harmonics is explained, which, to the best of our knowledge, is overlooked.

show abstract

Amplitude reflections and interaction solutions of linear and nonlinear acoustic waves with hard and soft boundaries

Ishaq

Chen

2022

Physics of Fluids

View full text Add to dashboard Cite

show abstract

Diffraction of sound from semi-infinite perforated and semi-infinite coated duct with ring source

Tiryakioğlu

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

View full text Add to dashboard Cite

This study delves into the analysis of acoustic waves emanating from a ring source in an infinite cylindrical duct. The duct is equipped with an acoustically absorbing lining on its outer surface when $z$ is less than $l$, and is perforated when $z$ is greater than $l$. The inclusion of acoustically absorbing lining results in a substantial increase in the complexity of the equations compared to the scenario without such lining. Through rigorous efforts, these intricate equation systems are numerically solved, and graphs are generated across various parameter values. Furthermore, by adjusting the parameter values, a physical resemblance is established with an existing study in the literature, showcasing impeccable alignment in the results.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Reflection coefficient of a dominant mode in a trifurcated duct of soft walls in the presence of mean flow

Cited by 2 publications

References 25 publications

Amplitude reflections and interaction solutions of linear and nonlinear acoustic waves with hard and soft boundaries

Amplitude reflections and interaction solutions of linear and nonlinear acoustic waves with hard and soft boundaries

Diffraction of sound from semi-infinite perforated and semi-infinite coated duct with ring source

Contact Info

Product

Resources

About