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Preprint / Version 12

About 3D Cavity Resonance

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DOI:

https://doi.org/10.31224/7076

Keywords:

cavity resonance, three-dimention, Rossiter fomula, Rossiter's equation, cavity noise, cavity sound, whistle noise, whistling noise, whistle sound, whistling sound, Powell's equation

Abstract

Research on automobile whistling and suction sounds has been conducted in the past. For cavity resonance, a type of whistling sound, the cavity resonance frequency has been determined using Rossiter's empirical formula. Therefore, we limited our study to the three-dimensional case and clarified the physical phenomena that arise by solving a set of partial differential equations that explain the phenomenon. As a result, we were able to determine the frequency at which resonance increases, taking into account three-dimensional space. Finally, we were able to confirm the conditions under which resonance increases through numerical calculations.

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Posted

2026-05-15 — Updated on 2026-08-10

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Copyright (c) 2026 Takuya Yabu

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Version justification

I have added Chapter 5, determined α and β_x, and included the corresponding explanations; no other changes have been made. I sincerely apologize for repeatedly revising the preprint within a short period. I would appreciate it if you could review the updated version.