A sonic black hole of a rectangular cross-section
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00368649" target="_blank" >RIV/68407700:21230/24:00368649 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.apm.2023.09.005" target="_blank" >https://doi.org/10.1016/j.apm.2023.09.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apm.2023.09.005" target="_blank" >10.1016/j.apm.2023.09.005</a>
Alternative languages
Result language
angličtina
Original language name
A sonic black hole of a rectangular cross-section
Original language description
In this study, a rectangular cross-section sonic black hole (SBH) is explored and a one-dimensional model equation for the acoustic field inside it is presented. The model equation's applicability is verified through a comparison with the corresponding two-dimensional Helmholtz equation. A general analytical solution, which takes into account the SBH's quadratically varying internal cross-section, is derived using linearly independent confluent Heun functions. To investigate the acoustic wave behavior in the SBH, the wave splitting method is utilized to obtain forward and backward acoustic pressure waves, and the reflection coefficient is calculated. To confirm the validity of the analytical solution, a comparison is made with numerical results obtained from the Riccati equation. Within the context of this study, a detailed discussion is provided regarding the applicability of the analytical solution.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA22-33896S" target="_blank" >GA22-33896S: Advanced methods of sound and elastic wave field control: acoustic black holes, metamaterials and functionally graded materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematical Modelling
ISSN
0307-904X
e-ISSN
1872-8480
Volume of the periodical
125
Issue of the periodical within the volume
January
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
529-543
UT code for WoS article
001081416500001
EID of the result in the Scopus database
2-s2.0-85171443546