場によって励起される音の研究 : 第1報, 音響エネルギーの保存式の提案

抄録

There are many types of acoustic noise from flow fields, for example, jet noise, boundary layer noise, tone due to Karman vortex, singing flame, and Rijke tube. This paper proposes an equation of acoustic energy conservation in open systems, which explains various types of oscillating phenomena excited by fields. This equation is from perturbation of the Navier-Storkes' equation. From this analysis it became clear that the generation and dissipation of acoustic energy are caused by the following : work by pressure, viscous loss, interaction between pressure variation and heating rate variation, stable heating, and work by vortex. A simplified model is used to describe these unstable factors by wave equation. Also, a one-dimensional analysis for a duct with a large temperature gradient and a large sectional area gradient was done by the transfer matrix method. Those factors have an effect on the phase velocity.