Resonances in a Coupled Cavity Consisting of Equally-spaced Additional Cavities : Calculation of Natural Frequencies and Modes by Using a Difference Equation

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概要

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• A forced cooling heat exchanger constructed of many fins with slits causes a discrete tone equally-spaced in frequency, which depends on the air flow velocity. In order to calculate the natural frequency of the cavity, we made an analytical model, consisting of a main cavity, corresponding to the slits, and additional cavities attached to it at equal intervals, corresponding to the spaces between the fins. The boundary conditions at the branch points are the same pressure for each cavity and flow continuity. Wave equations and the boundary conditions define a difference equation. The natural frequencies and the modes can be determined by solving the difference equation. The frequencies and the modes deduced analytically agree with experimentally obtained results. We can predict the tone and make it quiet by using the analytical results.

• 一般社団法人日本機械学会の論文

著者

• Nagayasu Katsuyoshi

  Toshiba Research And Development Center

• Nagayasu Katsuyoshi

  Toshiba R&d Center

関連論文

• Cavity Resonances in a Multi-Coupled Pipe System with Equally Spaced Connecting Holes : Series C : Vibration, Control Engineering, Engineering for Industry
• Resonances in a Coupled Cavity Consisting of Equally-spaced Additional Cavities : Calculation of Natural Frequencies and Modes by Using a Difference Equation

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